TSTP Solution File: GRP685-10 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP685-10 : TPTP v8.1.2. Released v8.1.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.YvMbDZBdku true
% Computer : n004.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 01:52:55 EDT 2023
% Result : Unsatisfiable 7.15s 1.64s
% Output : Refutation 7.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP685-10 : TPTP v8.1.2. Released v8.1.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.YvMbDZBdku true
% 0.15/0.35 % Computer : n004.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Aug 29 01:12:22 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % Running portfolio for 300 s
% 0.15/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.35 % Number of cores: 8
% 0.15/0.35 % Python version: Python 3.6.8
% 0.15/0.35 % Running in FO mode
% 0.22/0.65 % Total configuration time : 435
% 0.22/0.65 % Estimated wc time : 1092
% 0.22/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.72 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.23/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.23/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.23/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.23/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 7.15/1.64 % Solved by fo/fo4.sh.
% 7.15/1.64 % done 250 iterations in 0.857s
% 7.15/1.64 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 7.15/1.64 % SZS output start Refutation
% 7.15/1.64 thf(rd_type, type, rd: $i > $i > $i).
% 7.15/1.64 thf(x7_type, type, x7: $i).
% 7.15/1.64 thf(mult_type, type, mult: $i > $i > $i).
% 7.15/1.64 thf(x6_type, type, x6: $i).
% 7.15/1.64 thf(ld_type, type, ld: $i > $i > $i).
% 7.15/1.64 thf(x8_type, type, x8: $i).
% 7.15/1.64 thf(goal, conjecture,
% 7.15/1.64 (( rd @ ( mult @ x6 @ ( ld @ x7 @ x8 ) ) @ ( ld @ x7 @ x8 ) ) =
% 7.15/1.64 ( rd @ ( mult @ x6 @ x8 ) @ x8 ))).
% 7.15/1.64 thf(zf_stmt_0, negated_conjecture,
% 7.15/1.64 (( rd @ ( mult @ x6 @ ( ld @ x7 @ x8 ) ) @ ( ld @ x7 @ x8 ) ) !=
% 7.15/1.64 ( rd @ ( mult @ x6 @ x8 ) @ x8 )),
% 7.15/1.64 inference('cnf.neg', [status(esa)], [goal])).
% 7.15/1.64 thf(zip_derived_cl7, plain,
% 7.15/1.64 (((rd @ (mult @ x6 @ (ld @ x7 @ x8)) @ (ld @ x7 @ x8))
% 7.15/1.64 != (rd @ (mult @ x6 @ x8) @ x8))),
% 7.15/1.64 inference('cnf', [status(esa)], [zf_stmt_0])).
% 7.15/1.64 thf(f04, axiom,
% 7.15/1.64 (( mult @ ( rd @ A @ B ) @ B ) = ( rd @ ( mult @ A @ B ) @ B ))).
% 7.15/1.64 thf(zip_derived_cl3, plain,
% 7.15/1.64 (![X0 : $i, X1 : $i]:
% 7.15/1.64 ((mult @ (rd @ X0 @ X1) @ X1) = (rd @ (mult @ X0 @ X1) @ X1))),
% 7.15/1.64 inference('cnf', [status(esa)], [f04])).
% 7.15/1.64 thf(zip_derived_cl3, plain,
% 7.15/1.64 (![X0 : $i, X1 : $i]:
% 7.15/1.64 ((mult @ (rd @ X0 @ X1) @ X1) = (rd @ (mult @ X0 @ X1) @ X1))),
% 7.15/1.64 inference('cnf', [status(esa)], [f04])).
% 7.15/1.64 thf(zip_derived_cl9, plain,
% 7.15/1.64 (((mult @ (rd @ x6 @ (ld @ x7 @ x8)) @ (ld @ x7 @ x8))
% 7.15/1.64 != (mult @ (rd @ x6 @ x8) @ x8))),
% 7.15/1.64 inference('demod', [status(thm)],
% 7.15/1.64 [zip_derived_cl7, zip_derived_cl3, zip_derived_cl3])).
% 7.15/1.64 thf(f03, axiom,
% 7.15/1.64 (( mult @ A @ ( ld @ A @ B ) ) = ( ld @ A @ ( mult @ A @ B ) ))).
% 7.15/1.64 thf(zip_derived_cl2, plain,
% 7.15/1.64 (![X0 : $i, X1 : $i]:
% 7.15/1.64 ((mult @ X0 @ (ld @ X0 @ X1)) = (ld @ X0 @ (mult @ X0 @ X1)))),
% 7.15/1.64 inference('cnf', [status(esa)], [f03])).
% 7.15/1.64 thf(f07, axiom,
% 7.15/1.64 (( ld @ A @ ( mult @ A @ ( ld @ B @ B ) ) ) =
% 7.15/1.64 ( rd @ ( mult @ ( rd @ A @ A ) @ B ) @ B ))).
% 7.15/1.64 thf(zip_derived_cl6, plain,
% 7.15/1.64 (![X0 : $i, X1 : $i]:
% 7.15/1.64 ((ld @ X0 @ (mult @ X0 @ (ld @ X1 @ X1)))
% 7.15/1.64 = (rd @ (mult @ (rd @ X0 @ X0) @ X1) @ X1))),
% 7.15/1.64 inference('cnf', [status(esa)], [f07])).
% 7.15/1.64 thf(zip_derived_cl3, plain,
% 7.15/1.64 (![X0 : $i, X1 : $i]:
% 7.15/1.64 ((mult @ (rd @ X0 @ X1) @ X1) = (rd @ (mult @ X0 @ X1) @ X1))),
% 7.15/1.64 inference('cnf', [status(esa)], [f04])).
% 7.15/1.64 thf(zip_derived_cl12, plain,
% 7.15/1.64 (![X0 : $i, X1 : $i]:
% 7.15/1.64 ((ld @ X0 @ (mult @ X0 @ (ld @ X1 @ X1)))
% 7.15/1.64 = (mult @ (rd @ (rd @ X0 @ X0) @ X1) @ X1))),
% 7.15/1.64 inference('demod', [status(thm)], [zip_derived_cl6, zip_derived_cl3])).
% 7.15/1.64 thf(zip_derived_cl15, plain,
% 7.15/1.64 (![X0 : $i]:
% 7.15/1.64 ((ld @ X0 @ (ld @ X0 @ (mult @ X0 @ X0)))
% 7.15/1.64 = (mult @ (rd @ (rd @ X0 @ X0) @ X0) @ X0))),
% 7.15/1.64 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl12])).
% 7.15/1.64 thf(f01, axiom, (( ld @ A @ ( mult @ A @ A ) ) = ( A ))).
% 7.15/1.64 thf(zip_derived_cl0, plain,
% 7.15/1.64 (![X0 : $i]: ((ld @ X0 @ (mult @ X0 @ X0)) = (X0))),
% 7.15/1.64 inference('cnf', [status(esa)], [f01])).
% 7.15/1.64 thf(zip_derived_cl16, plain,
% 7.15/1.64 (![X0 : $i]: ((ld @ X0 @ X0) = (mult @ (rd @ (rd @ X0 @ X0) @ X0) @ X0))),
% 7.15/1.64 inference('demod', [status(thm)], [zip_derived_cl15, zip_derived_cl0])).
% 7.15/1.64 thf(zip_derived_cl3, plain,
% 7.15/1.64 (![X0 : $i, X1 : $i]:
% 7.15/1.64 ((mult @ (rd @ X0 @ X1) @ X1) = (rd @ (mult @ X0 @ X1) @ X1))),
% 7.15/1.64 inference('cnf', [status(esa)], [f04])).
% 7.15/1.64 thf(f02, axiom, (( rd @ ( mult @ A @ A ) @ A ) = ( A ))).
% 7.15/1.64 thf(zip_derived_cl1, plain,
% 7.15/1.64 (![X0 : $i]: ((rd @ (mult @ X0 @ X0) @ X0) = (X0))),
% 7.15/1.64 inference('cnf', [status(esa)], [f02])).
% 7.15/1.64 thf(zip_derived_cl10, plain,
% 7.15/1.64 (![X0 : $i]: ((mult @ (rd @ X0 @ X0) @ X0) = (X0))),
% 7.15/1.64 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 7.15/1.64 thf(zip_derived_cl3, plain,
% 7.15/1.64 (![X0 : $i, X1 : $i]:
% 7.15/1.64 ((mult @ (rd @ X0 @ X1) @ X1) = (rd @ (mult @ X0 @ X1) @ X1))),
% 7.15/1.64 inference('cnf', [status(esa)], [f04])).
% 7.15/1.64 thf(zip_derived_cl17, plain,
% 7.15/1.64 (![X0 : $i]: ((mult @ (rd @ (rd @ X0 @ X0) @ X0) @ X0) = (rd @ X0 @ X0))),
% 7.15/1.64 inference('sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl3])).
% 7.15/1.64 thf(zip_derived_cl22, plain, (![X0 : $i]: ((ld @ X0 @ X0) = (rd @ X0 @ X0))),
% 7.15/1.64 inference('demod', [status(thm)], [zip_derived_cl16, zip_derived_cl17])).
% 7.15/1.64 thf(zip_derived_cl2, plain,
% 7.15/1.64 (![X0 : $i, X1 : $i]:
% 7.15/1.64 ((mult @ X0 @ (ld @ X0 @ X1)) = (ld @ X0 @ (mult @ X0 @ X1)))),
% 7.15/1.64 inference('cnf', [status(esa)], [f03])).
% 7.15/1.64 thf(zip_derived_cl52, plain,
% 7.15/1.64 (![X0 : $i]:
% 7.15/1.64 ((mult @ X0 @ (rd @ X0 @ X0)) = (ld @ X0 @ (mult @ X0 @ X0)))),
% 7.15/1.64 inference('sup+', [status(thm)], [zip_derived_cl22, zip_derived_cl2])).
% 7.15/1.64 thf(zip_derived_cl0, plain,
% 7.15/1.64 (![X0 : $i]: ((ld @ X0 @ (mult @ X0 @ X0)) = (X0))),
% 7.15/1.64 inference('cnf', [status(esa)], [f01])).
% 7.15/1.64 thf(zip_derived_cl55, plain,
% 7.15/1.64 (![X0 : $i]: ((mult @ X0 @ (rd @ X0 @ X0)) = (X0))),
% 7.15/1.64 inference('demod', [status(thm)], [zip_derived_cl52, zip_derived_cl0])).
% 7.15/1.64 thf(zip_derived_cl1, plain,
% 7.15/1.64 (![X0 : $i]: ((rd @ (mult @ X0 @ X0) @ X0) = (X0))),
% 7.15/1.64 inference('cnf', [status(esa)], [f02])).
% 7.15/1.64 thf(f06, axiom,
% 7.15/1.64 (( rd @ ( mult @ ( mult @ A @ B ) @ ( rd @ C @ D ) ) @ ( rd @ C @ D ) ) =
% 7.15/1.64 ( mult @ A @ ( rd @ ( mult @ B @ D ) @ D ) ))).
% 7.15/1.64 thf(zip_derived_cl5, plain,
% 7.15/1.64 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.15/1.64 ((rd @ (mult @ (mult @ X0 @ X1) @ (rd @ X3 @ X2)) @ (rd @ X3 @ X2))
% 7.15/1.64 = (mult @ X0 @ (rd @ (mult @ X1 @ X2) @ X2)))),
% 7.15/1.64 inference('cnf', [status(esa)], [f06])).
% 7.15/1.64 thf(zip_derived_cl3, plain,
% 7.15/1.64 (![X0 : $i, X1 : $i]:
% 7.15/1.64 ((mult @ (rd @ X0 @ X1) @ X1) = (rd @ (mult @ X0 @ X1) @ X1))),
% 7.15/1.64 inference('cnf', [status(esa)], [f04])).
% 7.15/1.64 thf(zip_derived_cl164, plain,
% 7.15/1.64 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.15/1.64 ((rd @ (mult @ (mult @ X0 @ X1) @ (rd @ X3 @ X2)) @ (rd @ X3 @ X2))
% 7.15/1.64 = (mult @ X0 @ (mult @ (rd @ X1 @ X2) @ X2)))),
% 7.15/1.64 inference('demod', [status(thm)], [zip_derived_cl5, zip_derived_cl3])).
% 7.15/1.64 thf(zip_derived_cl168, plain,
% 7.15/1.64 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.15/1.64 ((rd @ (mult @ (mult @ X2 @ X1) @ (rd @ (mult @ X0 @ X0) @ X0)) @ X0)
% 7.15/1.64 = (mult @ X2 @ (mult @ (rd @ X1 @ X0) @ X0)))),
% 7.15/1.64 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl164])).
% 7.15/1.64 thf(zip_derived_cl1, plain,
% 7.15/1.64 (![X0 : $i]: ((rd @ (mult @ X0 @ X0) @ X0) = (X0))),
% 7.15/1.64 inference('cnf', [status(esa)], [f02])).
% 7.15/1.64 thf(zip_derived_cl3, plain,
% 7.15/1.64 (![X0 : $i, X1 : $i]:
% 7.15/1.64 ((mult @ (rd @ X0 @ X1) @ X1) = (rd @ (mult @ X0 @ X1) @ X1))),
% 7.15/1.64 inference('cnf', [status(esa)], [f04])).
% 7.15/1.64 thf(zip_derived_cl184, plain,
% 7.15/1.64 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.15/1.64 ((mult @ (rd @ (mult @ X2 @ X1) @ X0) @ X0)
% 7.15/1.64 = (mult @ X2 @ (mult @ (rd @ X1 @ X0) @ X0)))),
% 7.15/1.64 inference('demod', [status(thm)],
% 7.15/1.64 [zip_derived_cl168, zip_derived_cl1, zip_derived_cl3])).
% 7.15/1.64 thf(zip_derived_cl222, plain,
% 7.15/1.64 (![X0 : $i, X1 : $i]:
% 7.15/1.64 ((mult @ (rd @ X0 @ X1) @ X1)
% 7.15/1.64 = (mult @ X0 @ (mult @ (rd @ (rd @ X0 @ X0) @ X1) @ X1)))),
% 7.15/1.64 inference('sup+', [status(thm)], [zip_derived_cl55, zip_derived_cl184])).
% 7.15/1.64 thf(zip_derived_cl12, plain,
% 7.15/1.64 (![X0 : $i, X1 : $i]:
% 7.15/1.64 ((ld @ X0 @ (mult @ X0 @ (ld @ X1 @ X1)))
% 7.15/1.64 = (mult @ (rd @ (rd @ X0 @ X0) @ X1) @ X1))),
% 7.15/1.64 inference('demod', [status(thm)], [zip_derived_cl6, zip_derived_cl3])).
% 7.15/1.64 thf(zip_derived_cl22, plain, (![X0 : $i]: ((ld @ X0 @ X0) = (rd @ X0 @ X0))),
% 7.15/1.64 inference('demod', [status(thm)], [zip_derived_cl16, zip_derived_cl17])).
% 7.15/1.64 thf(zip_derived_cl51, plain,
% 7.15/1.64 (![X0 : $i, X1 : $i]:
% 7.15/1.64 ((ld @ X0 @ (mult @ X0 @ (rd @ X1 @ X1)))
% 7.15/1.64 = (mult @ (rd @ (rd @ X0 @ X0) @ X1) @ X1))),
% 7.15/1.64 inference('demod', [status(thm)], [zip_derived_cl12, zip_derived_cl22])).
% 7.15/1.64 thf(zip_derived_cl2, plain,
% 7.15/1.64 (![X0 : $i, X1 : $i]:
% 7.15/1.64 ((mult @ X0 @ (ld @ X0 @ X1)) = (ld @ X0 @ (mult @ X0 @ X1)))),
% 7.15/1.64 inference('cnf', [status(esa)], [f03])).
% 7.15/1.64 thf(zip_derived_cl122, plain,
% 7.15/1.64 (![X0 : $i, X1 : $i]:
% 7.15/1.64 ((mult @ X1 @ (mult @ (rd @ (rd @ X1 @ X1) @ X0) @ X0))
% 7.15/1.64 = (ld @ X1 @ (mult @ X1 @ (mult @ X1 @ (rd @ X0 @ X0)))))),
% 7.15/1.64 inference('sup+', [status(thm)], [zip_derived_cl51, zip_derived_cl2])).
% 7.15/1.64 thf(zip_derived_cl0, plain,
% 7.15/1.64 (![X0 : $i]: ((ld @ X0 @ (mult @ X0 @ X0)) = (X0))),
% 7.15/1.64 inference('cnf', [status(esa)], [f01])).
% 7.15/1.64 thf(zip_derived_cl0, plain,
% 7.15/1.64 (![X0 : $i]: ((ld @ X0 @ (mult @ X0 @ X0)) = (X0))),
% 7.15/1.64 inference('cnf', [status(esa)], [f01])).
% 7.15/1.64 thf(f05, axiom,
% 7.15/1.64 (( ld @ ( ld @ A @ B ) @ ( mult @ ( ld @ A @ B ) @ ( mult @ C @ D ) ) ) =
% 7.15/1.64 ( mult @ ( ld @ A @ ( mult @ A @ C ) ) @ D ))).
% 7.15/1.64 thf(zip_derived_cl4, plain,
% 7.15/1.64 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.15/1.64 ((ld @ (ld @ X0 @ X3) @ (mult @ (ld @ X0 @ X3) @ (mult @ X1 @ X2)))
% 7.15/1.64 = (mult @ (ld @ X0 @ (mult @ X0 @ X1)) @ X2))),
% 7.15/1.64 inference('cnf', [status(esa)], [f05])).
% 7.15/1.64 thf(zip_derived_cl32, plain,
% 7.15/1.64 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.15/1.64 ((ld @ (ld @ X0 @ (mult @ X0 @ X0)) @ (mult @ X0 @ (mult @ X2 @ X1)))
% 7.15/1.64 = (mult @ (ld @ X0 @ (mult @ X0 @ X2)) @ X1))),
% 7.15/1.64 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl4])).
% 7.15/1.64 thf(zip_derived_cl0, plain,
% 7.15/1.64 (![X0 : $i]: ((ld @ X0 @ (mult @ X0 @ X0)) = (X0))),
% 7.15/1.64 inference('cnf', [status(esa)], [f01])).
% 7.15/1.64 thf(zip_derived_cl41, plain,
% 7.15/1.64 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.15/1.64 ((ld @ X0 @ (mult @ X0 @ (mult @ X2 @ X1)))
% 7.15/1.64 = (mult @ (ld @ X0 @ (mult @ X0 @ X2)) @ X1))),
% 7.15/1.64 inference('demod', [status(thm)], [zip_derived_cl32, zip_derived_cl0])).
% 7.15/1.64 thf(zip_derived_cl81, plain,
% 7.15/1.64 (![X0 : $i, X1 : $i]:
% 7.15/1.64 ((ld @ X0 @ (mult @ X0 @ (mult @ X0 @ X1))) = (mult @ X0 @ X1))),
% 7.15/1.64 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl41])).
% 7.15/1.64 thf(zip_derived_cl134, plain,
% 7.15/1.64 (![X0 : $i, X1 : $i]:
% 7.15/1.64 ((mult @ X1 @ (mult @ (rd @ (rd @ X1 @ X1) @ X0) @ X0))
% 7.15/1.64 = (mult @ X1 @ (rd @ X0 @ X0)))),
% 7.15/1.64 inference('demod', [status(thm)], [zip_derived_cl122, zip_derived_cl81])).
% 7.15/1.64 thf(zip_derived_cl235, plain,
% 7.15/1.64 (![X0 : $i, X1 : $i]:
% 7.15/1.64 ((mult @ (rd @ X0 @ X1) @ X1) = (mult @ X0 @ (rd @ X1 @ X1)))),
% 7.15/1.64 inference('demod', [status(thm)], [zip_derived_cl222, zip_derived_cl134])).
% 7.15/1.64 thf(zip_derived_cl235, plain,
% 7.15/1.64 (![X0 : $i, X1 : $i]:
% 7.15/1.64 ((mult @ (rd @ X0 @ X1) @ X1) = (mult @ X0 @ (rd @ X1 @ X1)))),
% 7.15/1.64 inference('demod', [status(thm)], [zip_derived_cl222, zip_derived_cl134])).
% 7.15/1.64 thf(zip_derived_cl243, plain,
% 7.15/1.64 (((mult @ x6 @ (rd @ (ld @ x7 @ x8) @ (ld @ x7 @ x8)))
% 7.15/1.64 != (mult @ x6 @ (rd @ x8 @ x8)))),
% 7.15/1.64 inference('demod', [status(thm)],
% 7.15/1.64 [zip_derived_cl9, zip_derived_cl235, zip_derived_cl235])).
% 7.15/1.64 thf(zip_derived_cl2, plain,
% 7.15/1.64 (![X0 : $i, X1 : $i]:
% 7.15/1.64 ((mult @ X0 @ (ld @ X0 @ X1)) = (ld @ X0 @ (mult @ X0 @ X1)))),
% 7.15/1.64 inference('cnf', [status(esa)], [f03])).
% 7.15/1.64 thf(zip_derived_cl235, plain,
% 7.15/1.64 (![X0 : $i, X1 : $i]:
% 7.15/1.64 ((mult @ (rd @ X0 @ X1) @ X1) = (mult @ X0 @ (rd @ X1 @ X1)))),
% 7.15/1.64 inference('demod', [status(thm)], [zip_derived_cl222, zip_derived_cl134])).
% 7.15/1.64 thf(zip_derived_cl51, plain,
% 7.15/1.64 (![X0 : $i, X1 : $i]:
% 7.15/1.64 ((ld @ X0 @ (mult @ X0 @ (rd @ X1 @ X1)))
% 7.15/1.64 = (mult @ (rd @ (rd @ X0 @ X0) @ X1) @ X1))),
% 7.15/1.64 inference('demod', [status(thm)], [zip_derived_cl12, zip_derived_cl22])).
% 7.15/1.64 thf(zip_derived_cl235, plain,
% 7.15/1.64 (![X0 : $i, X1 : $i]:
% 7.15/1.64 ((mult @ (rd @ X0 @ X1) @ X1) = (mult @ X0 @ (rd @ X1 @ X1)))),
% 7.15/1.64 inference('demod', [status(thm)], [zip_derived_cl222, zip_derived_cl134])).
% 7.15/1.64 thf(zip_derived_cl244, plain,
% 7.15/1.64 (![X0 : $i, X1 : $i]:
% 7.15/1.64 ((ld @ X0 @ (mult @ X0 @ (rd @ X1 @ X1)))
% 7.15/1.64 = (mult @ (rd @ X0 @ X0) @ (rd @ X1 @ X1)))),
% 7.15/1.64 inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl235])).
% 7.15/1.64 thf(zip_derived_cl41, plain,
% 7.15/1.64 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.15/1.64 ((ld @ X0 @ (mult @ X0 @ (mult @ X2 @ X1)))
% 7.15/1.64 = (mult @ (ld @ X0 @ (mult @ X0 @ X2)) @ X1))),
% 7.15/1.64 inference('demod', [status(thm)], [zip_derived_cl32, zip_derived_cl0])).
% 7.15/1.64 thf(zip_derived_cl455, plain,
% 7.15/1.64 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.15/1.64 ((ld @ X1 @ (mult @ X1 @ (mult @ (rd @ X0 @ X0) @ X2)))
% 7.15/1.64 = (mult @ (mult @ (rd @ X1 @ X1) @ (rd @ X0 @ X0)) @ X2))),
% 7.15/1.64 inference('sup+', [status(thm)], [zip_derived_cl244, zip_derived_cl41])).
% 7.15/1.64 thf(zip_derived_cl3258, plain,
% 7.15/1.64 (![X0 : $i, X1 : $i]:
% 7.15/1.64 ((ld @ X1 @ (mult @ X1 @ (mult @ X0 @ (rd @ X0 @ X0))))
% 7.15/1.64 = (mult @ (mult @ (rd @ X1 @ X1) @ (rd @ X0 @ X0)) @ X0))),
% 7.15/1.64 inference('sup+', [status(thm)], [zip_derived_cl235, zip_derived_cl455])).
% 7.15/1.64 thf(zip_derived_cl55, plain,
% 7.15/1.64 (![X0 : $i]: ((mult @ X0 @ (rd @ X0 @ X0)) = (X0))),
% 7.15/1.64 inference('demod', [status(thm)], [zip_derived_cl52, zip_derived_cl0])).
% 7.15/1.64 thf(zip_derived_cl3, plain,
% 7.15/1.64 (![X0 : $i, X1 : $i]:
% 7.15/1.64 ((mult @ (rd @ X0 @ X1) @ X1) = (rd @ (mult @ X0 @ X1) @ X1))),
% 7.15/1.64 inference('cnf', [status(esa)], [f04])).
% 7.15/1.64 thf(zip_derived_cl184, plain,
% 7.15/1.64 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.15/1.64 ((mult @ (rd @ (mult @ X2 @ X1) @ X0) @ X0)
% 7.15/1.64 = (mult @ X2 @ (mult @ (rd @ X1 @ X0) @ X0)))),
% 7.15/1.64 inference('demod', [status(thm)],
% 7.15/1.64 [zip_derived_cl168, zip_derived_cl1, zip_derived_cl3])).
% 7.15/1.64 thf(zip_derived_cl218, plain,
% 7.15/1.64 (![X0 : $i, X1 : $i]:
% 7.15/1.64 ((mult @ (mult @ (rd @ X1 @ X0) @ X0) @ X0)
% 7.15/1.64 = (mult @ X1 @ (mult @ (rd @ X0 @ X0) @ X0)))),
% 7.15/1.64 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl184])).
% 7.15/1.64 thf(zip_derived_cl10, plain,
% 7.15/1.64 (![X0 : $i]: ((mult @ (rd @ X0 @ X0) @ X0) = (X0))),
% 7.15/1.64 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 7.15/1.64 thf(zip_derived_cl232, plain,
% 7.15/1.64 (![X0 : $i, X1 : $i]:
% 7.15/1.64 ((mult @ (mult @ (rd @ X1 @ X0) @ X0) @ X0) = (mult @ X1 @ X0))),
% 7.15/1.64 inference('demod', [status(thm)], [zip_derived_cl218, zip_derived_cl10])).
% 7.15/1.64 thf(zip_derived_cl235, plain,
% 7.15/1.64 (![X0 : $i, X1 : $i]:
% 7.15/1.64 ((mult @ (rd @ X0 @ X1) @ X1) = (mult @ X0 @ (rd @ X1 @ X1)))),
% 7.15/1.64 inference('demod', [status(thm)], [zip_derived_cl222, zip_derived_cl134])).
% 7.15/1.64 thf(zip_derived_cl311, plain,
% 7.15/1.64 (![X0 : $i, X1 : $i]:
% 7.15/1.64 ((mult @ (mult @ X1 @ (rd @ X0 @ X0)) @ X0) = (mult @ X1 @ X0))),
% 7.15/1.64 inference('demod', [status(thm)], [zip_derived_cl232, zip_derived_cl235])).
% 7.15/1.64 thf(zip_derived_cl3288, plain,
% 7.15/1.64 (![X0 : $i, X1 : $i]:
% 7.15/1.64 ((ld @ X1 @ (mult @ X1 @ X0)) = (mult @ (rd @ X1 @ X1) @ X0))),
% 7.15/1.64 inference('demod', [status(thm)],
% 7.15/1.64 [zip_derived_cl3258, zip_derived_cl55, zip_derived_cl311])).
% 7.15/1.64 thf(zip_derived_cl3307, plain,
% 7.15/1.64 (![X0 : $i, X1 : $i]:
% 7.15/1.64 ((mult @ X0 @ (ld @ X0 @ X1)) = (mult @ (rd @ X0 @ X0) @ X1))),
% 7.15/1.64 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl3288])).
% 7.15/1.64 thf(zip_derived_cl3, plain,
% 7.15/1.64 (![X0 : $i, X1 : $i]:
% 7.15/1.64 ((mult @ (rd @ X0 @ X1) @ X1) = (rd @ (mult @ X0 @ X1) @ X1))),
% 7.15/1.64 inference('cnf', [status(esa)], [f04])).
% 7.15/1.64 thf(zip_derived_cl235, plain,
% 7.15/1.64 (![X0 : $i, X1 : $i]:
% 7.15/1.64 ((mult @ (rd @ X0 @ X1) @ X1) = (mult @ X0 @ (rd @ X1 @ X1)))),
% 7.15/1.64 inference('demod', [status(thm)], [zip_derived_cl222, zip_derived_cl134])).
% 7.15/1.64 thf(zip_derived_cl242, plain,
% 7.15/1.64 (![X0 : $i, X1 : $i]:
% 7.15/1.64 ((mult @ X0 @ (rd @ X1 @ X1)) = (rd @ (mult @ X0 @ X1) @ X1))),
% 7.15/1.64 inference('demod', [status(thm)], [zip_derived_cl3, zip_derived_cl235])).
% 7.15/1.64 thf(zip_derived_cl235, plain,
% 7.15/1.64 (![X0 : $i, X1 : $i]:
% 7.15/1.64 ((mult @ (rd @ X0 @ X1) @ X1) = (mult @ X0 @ (rd @ X1 @ X1)))),
% 7.15/1.64 inference('demod', [status(thm)], [zip_derived_cl222, zip_derived_cl134])).
% 7.15/1.64 thf(zip_derived_cl260, plain,
% 7.15/1.64 (![X0 : $i, X1 : $i]:
% 7.15/1.64 ((mult @ (mult @ X1 @ (rd @ X0 @ X0)) @ X0)
% 7.15/1.64 = (mult @ (mult @ X1 @ X0) @ (rd @ X0 @ X0)))),
% 7.15/1.64 inference('sup+', [status(thm)], [zip_derived_cl242, zip_derived_cl235])).
% 7.15/1.64 thf(zip_derived_cl311, plain,
% 7.15/1.64 (![X0 : $i, X1 : $i]:
% 7.15/1.64 ((mult @ (mult @ X1 @ (rd @ X0 @ X0)) @ X0) = (mult @ X1 @ X0))),
% 7.15/1.64 inference('demod', [status(thm)], [zip_derived_cl232, zip_derived_cl235])).
% 7.15/1.64 thf(zip_derived_cl480, plain,
% 7.15/1.64 (![X0 : $i, X1 : $i]:
% 7.15/1.64 ((mult @ X1 @ X0) = (mult @ (mult @ X1 @ X0) @ (rd @ X0 @ X0)))),
% 7.15/1.64 inference('demod', [status(thm)], [zip_derived_cl260, zip_derived_cl311])).
% 7.15/1.64 thf(zip_derived_cl242, plain,
% 7.15/1.64 (![X0 : $i, X1 : $i]:
% 7.15/1.64 ((mult @ X0 @ (rd @ X1 @ X1)) = (rd @ (mult @ X0 @ X1) @ X1))),
% 7.15/1.64 inference('demod', [status(thm)], [zip_derived_cl3, zip_derived_cl235])).
% 7.15/1.64 thf(zip_derived_cl482, plain,
% 7.15/1.64 (![X0 : $i, X1 : $i]:
% 7.15/1.64 ((mult @ (mult @ X1 @ X0) @ (rd @ (rd @ X0 @ X0) @ (rd @ X0 @ X0)))
% 7.15/1.64 = (rd @ (mult @ X1 @ X0) @ (rd @ X0 @ X0)))),
% 7.15/1.64 inference('sup+', [status(thm)], [zip_derived_cl480, zip_derived_cl242])).
% 7.15/1.64 thf(zip_derived_cl235, plain,
% 7.15/1.64 (![X0 : $i, X1 : $i]:
% 7.15/1.64 ((mult @ (rd @ X0 @ X1) @ X1) = (mult @ X0 @ (rd @ X1 @ X1)))),
% 7.15/1.64 inference('demod', [status(thm)], [zip_derived_cl222, zip_derived_cl134])).
% 7.15/1.64 thf(zip_derived_cl17, plain,
% 7.15/1.64 (![X0 : $i]: ((mult @ (rd @ (rd @ X0 @ X0) @ X0) @ X0) = (rd @ X0 @ X0))),
% 7.15/1.64 inference('sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl3])).
% 7.15/1.64 thf(zip_derived_cl252, plain,
% 7.15/1.64 (![X0 : $i]: ((mult @ (rd @ X0 @ X0) @ (rd @ X0 @ X0)) = (rd @ X0 @ X0))),
% 7.15/1.64 inference('sup+', [status(thm)], [zip_derived_cl235, zip_derived_cl17])).
% 7.15/1.64 thf(zip_derived_cl1, plain,
% 7.15/1.64 (![X0 : $i]: ((rd @ (mult @ X0 @ X0) @ X0) = (X0))),
% 7.15/1.64 inference('cnf', [status(esa)], [f02])).
% 7.15/1.64 thf(zip_derived_cl334, plain,
% 7.15/1.64 (![X0 : $i]: ((rd @ (rd @ X0 @ X0) @ (rd @ X0 @ X0)) = (rd @ X0 @ X0))),
% 7.15/1.64 inference('sup+', [status(thm)], [zip_derived_cl252, zip_derived_cl1])).
% 7.15/1.64 thf(zip_derived_cl480, plain,
% 7.15/1.64 (![X0 : $i, X1 : $i]:
% 7.15/1.64 ((mult @ X1 @ X0) = (mult @ (mult @ X1 @ X0) @ (rd @ X0 @ X0)))),
% 7.15/1.64 inference('demod', [status(thm)], [zip_derived_cl260, zip_derived_cl311])).
% 7.15/1.64 thf(zip_derived_cl515, plain,
% 7.15/1.64 (![X0 : $i, X1 : $i]:
% 7.15/1.64 ((mult @ X1 @ X0) = (rd @ (mult @ X1 @ X0) @ (rd @ X0 @ X0)))),
% 7.15/1.64 inference('demod', [status(thm)],
% 7.15/1.64 [zip_derived_cl482, zip_derived_cl334, zip_derived_cl480])).
% 7.15/1.64 thf(zip_derived_cl55, plain,
% 7.15/1.64 (![X0 : $i]: ((mult @ X0 @ (rd @ X0 @ X0)) = (X0))),
% 7.15/1.64 inference('demod', [status(thm)], [zip_derived_cl52, zip_derived_cl0])).
% 7.15/1.64 thf(zip_derived_cl164, plain,
% 7.15/1.64 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.15/1.64 ((rd @ (mult @ (mult @ X0 @ X1) @ (rd @ X3 @ X2)) @ (rd @ X3 @ X2))
% 7.15/1.64 = (mult @ X0 @ (mult @ (rd @ X1 @ X2) @ X2)))),
% 7.15/1.64 inference('demod', [status(thm)], [zip_derived_cl5, zip_derived_cl3])).
% 7.15/1.64 thf(zip_derived_cl177, plain,
% 7.15/1.64 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.15/1.64 ((rd @ (mult @ X0 @ (rd @ X2 @ X1)) @ (rd @ X2 @ X1))
% 7.15/1.64 = (mult @ X0 @ (mult @ (rd @ (rd @ X0 @ X0) @ X1) @ X1)))),
% 7.15/1.64 inference('sup+', [status(thm)], [zip_derived_cl55, zip_derived_cl164])).
% 7.15/1.64 thf(zip_derived_cl134, plain,
% 7.15/1.64 (![X0 : $i, X1 : $i]:
% 7.15/1.64 ((mult @ X1 @ (mult @ (rd @ (rd @ X1 @ X1) @ X0) @ X0))
% 7.15/1.64 = (mult @ X1 @ (rd @ X0 @ X0)))),
% 7.15/1.64 inference('demod', [status(thm)], [zip_derived_cl122, zip_derived_cl81])).
% 7.15/1.64 thf(zip_derived_cl192, plain,
% 7.15/1.64 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.15/1.64 ((rd @ (mult @ X0 @ (rd @ X2 @ X1)) @ (rd @ X2 @ X1))
% 7.15/1.64 = (mult @ X0 @ (rd @ X1 @ X1)))),
% 7.15/1.64 inference('demod', [status(thm)], [zip_derived_cl177, zip_derived_cl134])).
% 7.15/1.64 thf(zip_derived_cl683, plain,
% 7.15/1.64 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.15/1.64 ((rd @ (mult @ X2 @ (rd @ (mult @ X1 @ X0) @ (rd @ X0 @ X0))) @
% 7.15/1.64 (mult @ X1 @ X0))
% 7.15/1.64 = (mult @ X2 @ (rd @ (rd @ X0 @ X0) @ (rd @ X0 @ X0))))),
% 7.15/1.64 inference('sup+', [status(thm)], [zip_derived_cl515, zip_derived_cl192])).
% 7.15/1.64 thf(zip_derived_cl515, plain,
% 7.15/1.64 (![X0 : $i, X1 : $i]:
% 7.15/1.64 ((mult @ X1 @ X0) = (rd @ (mult @ X1 @ X0) @ (rd @ X0 @ X0)))),
% 7.15/1.64 inference('demod', [status(thm)],
% 7.15/1.64 [zip_derived_cl482, zip_derived_cl334, zip_derived_cl480])).
% 7.15/1.64 thf(zip_derived_cl242, plain,
% 7.15/1.64 (![X0 : $i, X1 : $i]:
% 7.15/1.64 ((mult @ X0 @ (rd @ X1 @ X1)) = (rd @ (mult @ X0 @ X1) @ X1))),
% 7.15/1.64 inference('demod', [status(thm)], [zip_derived_cl3, zip_derived_cl235])).
% 7.15/1.64 thf(zip_derived_cl334, plain,
% 7.15/1.64 (![X0 : $i]: ((rd @ (rd @ X0 @ X0) @ (rd @ X0 @ X0)) = (rd @ X0 @ X0))),
% 7.15/1.64 inference('sup+', [status(thm)], [zip_derived_cl252, zip_derived_cl1])).
% 7.15/1.64 thf(zip_derived_cl707, plain,
% 7.15/1.64 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.15/1.64 ((mult @ X2 @ (rd @ (mult @ X1 @ X0) @ (mult @ X1 @ X0)))
% 7.15/1.64 = (mult @ X2 @ (rd @ X0 @ X0)))),
% 7.15/1.64 inference('demod', [status(thm)],
% 7.15/1.64 [zip_derived_cl683, zip_derived_cl515, zip_derived_cl242,
% 7.15/1.64 zip_derived_cl334])).
% 7.15/1.64 thf(zip_derived_cl3362, plain,
% 7.15/1.64 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.15/1.64 ((mult @ X2 @
% 7.15/1.64 (rd @ (mult @ X1 @ (ld @ X1 @ X0)) @ (mult @ (rd @ X1 @ X1) @ X0)))
% 7.15/1.64 = (mult @ X2 @ (rd @ (ld @ X1 @ X0) @ (ld @ X1 @ X0))))),
% 7.15/1.64 inference('sup+', [status(thm)], [zip_derived_cl3307, zip_derived_cl707])).
% 7.15/1.64 thf(zip_derived_cl3307, plain,
% 7.15/1.64 (![X0 : $i, X1 : $i]:
% 7.15/1.64 ((mult @ X0 @ (ld @ X0 @ X1)) = (mult @ (rd @ X0 @ X0) @ X1))),
% 7.15/1.64 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl3288])).
% 7.15/1.64 thf(zip_derived_cl707, plain,
% 7.15/1.64 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.15/1.64 ((mult @ X2 @ (rd @ (mult @ X1 @ X0) @ (mult @ X1 @ X0)))
% 7.15/1.64 = (mult @ X2 @ (rd @ X0 @ X0)))),
% 7.15/1.64 inference('demod', [status(thm)],
% 7.15/1.64 [zip_derived_cl683, zip_derived_cl515, zip_derived_cl242,
% 7.15/1.64 zip_derived_cl334])).
% 7.15/1.64 thf(zip_derived_cl3387, plain,
% 7.15/1.64 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.15/1.64 ((mult @ X2 @ (rd @ X0 @ X0))
% 7.15/1.64 = (mult @ X2 @ (rd @ (ld @ X1 @ X0) @ (ld @ X1 @ X0))))),
% 7.15/1.64 inference('demod', [status(thm)],
% 7.15/1.64 [zip_derived_cl3362, zip_derived_cl3307, zip_derived_cl707])).
% 7.15/1.64 thf(zip_derived_cl6302, plain,
% 7.15/1.64 (((mult @ x6 @ (rd @ x8 @ x8)) != (mult @ x6 @ (rd @ x8 @ x8)))),
% 7.15/1.64 inference('demod', [status(thm)], [zip_derived_cl243, zip_derived_cl3387])).
% 7.15/1.64 thf(zip_derived_cl6303, plain, ($false),
% 7.15/1.64 inference('simplify', [status(thm)], [zip_derived_cl6302])).
% 7.15/1.64
% 7.15/1.64 % SZS output end Refutation
% 7.15/1.64
% 7.15/1.64
% 7.15/1.64 % Terminating...
% 7.76/1.76 % Runner terminated.
% 7.76/1.77 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------