TSTP Solution File: GRP659-10 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP659-10 : TPTP v8.1.2. Released v8.1.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.N7EAjzv0oo true
% Computer : n016.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 01:52:45 EDT 2023
% Result : Unsatisfiable 3.49s 1.08s
% Output : Refutation 3.49s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : GRP659-10 : TPTP v8.1.2. Released v8.1.0.
% 0.11/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.N7EAjzv0oo true
% 0.15/0.36 % Computer : n016.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon Aug 28 23:47:15 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % Running portfolio for 300 s
% 0.15/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.36 % Number of cores: 8
% 0.15/0.36 % Python version: Python 3.6.8
% 0.15/0.36 % Running in FO mode
% 0.57/0.65 % Total configuration time : 435
% 0.57/0.65 % Estimated wc time : 1092
% 0.57/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.58/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.58/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 3.49/1.08 % Solved by fo/fo1_av.sh.
% 3.49/1.08 % done 128 iterations in 0.294s
% 3.49/1.08 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 3.49/1.08 % SZS output start Refutation
% 3.49/1.08 thf(ld_type, type, ld: $i > $i > $i).
% 3.49/1.08 thf(rd_type, type, rd: $i > $i > $i).
% 3.49/1.08 thf(x1_2_type, type, x1_2: $i > $i).
% 3.49/1.08 thf(mult_type, type, mult: $i > $i > $i).
% 3.49/1.08 thf(tuple_type, type, tuple: $i > $i > $i).
% 3.49/1.08 thf(x1_type, type, x1: $i > $i).
% 3.49/1.08 thf(f03, axiom, (( mult @ ( rd @ A @ B ) @ B ) = ( A ))).
% 3.49/1.08 thf(zip_derived_cl2, plain,
% 3.49/1.08 (![X0 : $i, X1 : $i]: ((mult @ (rd @ X0 @ X1) @ X1) = (X0))),
% 3.49/1.08 inference('cnf', [status(esa)], [f03])).
% 3.49/1.08 thf(f05, axiom,
% 3.49/1.08 (( mult @ ( mult @ A @ ( mult @ B @ C ) ) @ B ) =
% 3.49/1.08 ( mult @ ( mult @ A @ B ) @ ( mult @ C @ B ) ))).
% 3.49/1.08 thf(zip_derived_cl4, plain,
% 3.49/1.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.49/1.08 ((mult @ (mult @ X0 @ (mult @ X1 @ X2)) @ X1)
% 3.49/1.08 = (mult @ (mult @ X0 @ X1) @ (mult @ X2 @ X1)))),
% 3.49/1.08 inference('cnf', [status(esa)], [f05])).
% 3.49/1.08 thf(f04, axiom, (( rd @ ( mult @ A @ B ) @ B ) = ( A ))).
% 3.49/1.08 thf(zip_derived_cl3, plain,
% 3.49/1.08 (![X0 : $i, X1 : $i]: ((rd @ (mult @ X0 @ X1) @ X1) = (X0))),
% 3.49/1.08 inference('cnf', [status(esa)], [f04])).
% 3.49/1.08 thf(zip_derived_cl13, plain,
% 3.49/1.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.49/1.08 ((rd @ (mult @ (mult @ X2 @ X0) @ (mult @ X1 @ X0)) @ X0)
% 3.49/1.08 = (mult @ X2 @ (mult @ X0 @ X1)))),
% 3.49/1.08 inference('s_sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl3])).
% 3.49/1.08 thf(zip_derived_cl31, plain,
% 3.49/1.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.49/1.08 ((rd @ (mult @ (mult @ X2 @ X1) @ X0) @ X1)
% 3.49/1.08 = (mult @ X2 @ (mult @ X1 @ (rd @ X0 @ X1))))),
% 3.49/1.08 inference('s_sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl13])).
% 3.49/1.08 thf(zip_derived_cl3, plain,
% 3.49/1.08 (![X0 : $i, X1 : $i]: ((rd @ (mult @ X0 @ X1) @ X1) = (X0))),
% 3.49/1.08 inference('cnf', [status(esa)], [f04])).
% 3.49/1.08 thf(zip_derived_cl75, plain,
% 3.49/1.08 (![X0 : $i, X1 : $i]:
% 3.49/1.08 ((mult @ X1 @ (mult @ X0 @ (rd @ X0 @ X0))) = (mult @ X1 @ X0))),
% 3.49/1.08 inference('s_sup+', [status(thm)], [zip_derived_cl31, zip_derived_cl3])).
% 3.49/1.08 thf(f02, axiom, (( ld @ A @ ( mult @ A @ B ) ) = ( B ))).
% 3.49/1.08 thf(zip_derived_cl1, plain,
% 3.49/1.08 (![X0 : $i, X1 : $i]: ((ld @ X1 @ (mult @ X1 @ X0)) = (X0))),
% 3.49/1.08 inference('cnf', [status(esa)], [f02])).
% 3.49/1.08 thf(zip_derived_cl86, plain,
% 3.49/1.08 (![X0 : $i, X1 : $i]:
% 3.49/1.08 ((ld @ X1 @ (mult @ X1 @ X0)) = (mult @ X0 @ (rd @ X0 @ X0)))),
% 3.49/1.08 inference('s_sup+', [status(thm)], [zip_derived_cl75, zip_derived_cl1])).
% 3.49/1.08 thf(zip_derived_cl1, plain,
% 3.49/1.08 (![X0 : $i, X1 : $i]: ((ld @ X1 @ (mult @ X1 @ X0)) = (X0))),
% 3.49/1.08 inference('cnf', [status(esa)], [f02])).
% 3.49/1.08 thf(zip_derived_cl105, plain,
% 3.49/1.08 (![X0 : $i]: ((X0) = (mult @ X0 @ (rd @ X0 @ X0)))),
% 3.49/1.08 inference('demod', [status(thm)], [zip_derived_cl86, zip_derived_cl1])).
% 3.49/1.08 thf(zip_derived_cl1, plain,
% 3.49/1.08 (![X0 : $i, X1 : $i]: ((ld @ X1 @ (mult @ X1 @ X0)) = (X0))),
% 3.49/1.08 inference('cnf', [status(esa)], [f02])).
% 3.49/1.08 thf(zip_derived_cl119, plain,
% 3.49/1.08 (![X0 : $i]: ((ld @ X0 @ X0) = (rd @ X0 @ X0))),
% 3.49/1.08 inference('s_sup+', [status(thm)], [zip_derived_cl105, zip_derived_cl1])).
% 3.49/1.08 thf(zip_derived_cl2, plain,
% 3.49/1.08 (![X0 : $i, X1 : $i]: ((mult @ (rd @ X0 @ X1) @ X1) = (X0))),
% 3.49/1.08 inference('cnf', [status(esa)], [f03])).
% 3.49/1.08 thf(zip_derived_cl136, plain,
% 3.49/1.08 (![X0 : $i]: ((mult @ (ld @ X0 @ X0) @ X0) = (X0))),
% 3.49/1.08 inference('s_sup+', [status(thm)], [zip_derived_cl119, zip_derived_cl2])).
% 3.49/1.08 thf(zip_derived_cl4, plain,
% 3.49/1.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.49/1.08 ((mult @ (mult @ X0 @ (mult @ X1 @ X2)) @ X1)
% 3.49/1.08 = (mult @ (mult @ X0 @ X1) @ (mult @ X2 @ X1)))),
% 3.49/1.08 inference('cnf', [status(esa)], [f05])).
% 3.49/1.08 thf(zip_derived_cl145, plain,
% 3.49/1.08 (![X0 : $i, X1 : $i]:
% 3.49/1.08 ((mult @ (mult @ X1 @ X0) @ (ld @ X0 @ X0))
% 3.49/1.08 = (mult @ (mult @ X1 @ (ld @ X0 @ X0)) @
% 3.49/1.08 (mult @ X0 @ (ld @ X0 @ X0))))),
% 3.49/1.08 inference('s_sup+', [status(thm)], [zip_derived_cl136, zip_derived_cl4])).
% 3.49/1.08 thf(f01, axiom, (( mult @ A @ ( ld @ A @ B ) ) = ( B ))).
% 3.49/1.08 thf(zip_derived_cl0, plain,
% 3.49/1.08 (![X0 : $i, X1 : $i]: ((mult @ X1 @ (ld @ X1 @ X0)) = (X0))),
% 3.49/1.08 inference('cnf', [status(esa)], [f01])).
% 3.49/1.08 thf(zip_derived_cl154, plain,
% 3.49/1.08 (![X0 : $i, X1 : $i]:
% 3.49/1.08 ((mult @ (mult @ X1 @ X0) @ (ld @ X0 @ X0))
% 3.49/1.08 = (mult @ (mult @ X1 @ (ld @ X0 @ X0)) @ X0))),
% 3.49/1.08 inference('demod', [status(thm)], [zip_derived_cl145, zip_derived_cl0])).
% 3.49/1.08 thf(zip_derived_cl136, plain,
% 3.49/1.08 (![X0 : $i]: ((mult @ (ld @ X0 @ X0) @ X0) = (X0))),
% 3.49/1.08 inference('s_sup+', [status(thm)], [zip_derived_cl119, zip_derived_cl2])).
% 3.49/1.08 thf(zip_derived_cl0, plain,
% 3.49/1.08 (![X0 : $i, X1 : $i]: ((mult @ X1 @ (ld @ X1 @ X0)) = (X0))),
% 3.49/1.08 inference('cnf', [status(esa)], [f01])).
% 3.49/1.08 thf(zip_derived_cl4, plain,
% 3.49/1.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.49/1.08 ((mult @ (mult @ X0 @ (mult @ X1 @ X2)) @ X1)
% 3.49/1.08 = (mult @ (mult @ X0 @ X1) @ (mult @ X2 @ X1)))),
% 3.49/1.08 inference('cnf', [status(esa)], [f05])).
% 3.49/1.08 thf(zip_derived_cl18, plain,
% 3.49/1.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.49/1.08 ((mult @ (mult @ X2 @ X0) @ X1)
% 3.49/1.08 = (mult @ (mult @ X2 @ X1) @ (mult @ (ld @ X1 @ X0) @ X1)))),
% 3.49/1.08 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl4])).
% 3.49/1.08 thf(zip_derived_cl143, plain,
% 3.49/1.08 (![X0 : $i, X1 : $i]:
% 3.49/1.08 ((mult @ (mult @ (ld @ X0 @ X0) @ X1) @ X0)
% 3.49/1.08 = (mult @ X0 @ (mult @ (ld @ X0 @ X1) @ X0)))),
% 3.49/1.08 inference('s_sup+', [status(thm)], [zip_derived_cl136, zip_derived_cl18])).
% 3.49/1.08 thf(zip_derived_cl509, plain,
% 3.49/1.08 (![X0 : $i]:
% 3.49/1.08 ((mult @ (mult @ (ld @ X0 @ X0) @ X0) @ (ld @ X0 @ X0))
% 3.49/1.08 = (mult @ X0 @ (mult @ (ld @ X0 @ (ld @ X0 @ X0)) @ X0)))),
% 3.49/1.08 inference('s_sup+', [status(thm)], [zip_derived_cl154, zip_derived_cl143])).
% 3.49/1.08 thf(zip_derived_cl136, plain,
% 3.49/1.08 (![X0 : $i]: ((mult @ (ld @ X0 @ X0) @ X0) = (X0))),
% 3.49/1.08 inference('s_sup+', [status(thm)], [zip_derived_cl119, zip_derived_cl2])).
% 3.49/1.08 thf(zip_derived_cl0, plain,
% 3.49/1.08 (![X0 : $i, X1 : $i]: ((mult @ X1 @ (ld @ X1 @ X0)) = (X0))),
% 3.49/1.08 inference('cnf', [status(esa)], [f01])).
% 3.49/1.08 thf(zip_derived_cl524, plain,
% 3.49/1.08 (![X0 : $i]:
% 3.49/1.08 ((X0) = (mult @ X0 @ (mult @ (ld @ X0 @ (ld @ X0 @ X0)) @ X0)))),
% 3.49/1.08 inference('demod', [status(thm)],
% 3.49/1.08 [zip_derived_cl509, zip_derived_cl136, zip_derived_cl0])).
% 3.49/1.08 thf(zip_derived_cl4, plain,
% 3.49/1.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.49/1.08 ((mult @ (mult @ X0 @ (mult @ X1 @ X2)) @ X1)
% 3.49/1.08 = (mult @ (mult @ X0 @ X1) @ (mult @ X2 @ X1)))),
% 3.49/1.08 inference('cnf', [status(esa)], [f05])).
% 3.49/1.08 thf(zip_derived_cl792, plain,
% 3.49/1.08 (![X0 : $i]:
% 3.49/1.08 ((mult @ X0 @ (ld @ X0 @ (ld @ X0 @ X0)))
% 3.49/1.08 = (mult @ (mult @ X0 @ (ld @ X0 @ (ld @ X0 @ X0))) @
% 3.49/1.08 (mult @ X0 @ (ld @ X0 @ (ld @ X0 @ X0)))))),
% 3.49/1.08 inference('s_sup+', [status(thm)], [zip_derived_cl524, zip_derived_cl4])).
% 3.49/1.08 thf(zip_derived_cl0, plain,
% 3.49/1.08 (![X0 : $i, X1 : $i]: ((mult @ X1 @ (ld @ X1 @ X0)) = (X0))),
% 3.49/1.08 inference('cnf', [status(esa)], [f01])).
% 3.49/1.08 thf(zip_derived_cl0, plain,
% 3.49/1.08 (![X0 : $i, X1 : $i]: ((mult @ X1 @ (ld @ X1 @ X0)) = (X0))),
% 3.49/1.08 inference('cnf', [status(esa)], [f01])).
% 3.49/1.08 thf(zip_derived_cl0, plain,
% 3.49/1.08 (![X0 : $i, X1 : $i]: ((mult @ X1 @ (ld @ X1 @ X0)) = (X0))),
% 3.49/1.08 inference('cnf', [status(esa)], [f01])).
% 3.49/1.08 thf(zip_derived_cl807, plain,
% 3.49/1.08 (![X0 : $i]: ((ld @ X0 @ X0) = (mult @ (ld @ X0 @ X0) @ (ld @ X0 @ X0)))),
% 3.49/1.08 inference('demod', [status(thm)],
% 3.49/1.08 [zip_derived_cl792, zip_derived_cl0, zip_derived_cl0,
% 3.49/1.08 zip_derived_cl0])).
% 3.49/1.08 thf(zip_derived_cl0, plain,
% 3.49/1.08 (![X0 : $i, X1 : $i]: ((mult @ X1 @ (ld @ X1 @ X0)) = (X0))),
% 3.49/1.08 inference('cnf', [status(esa)], [f01])).
% 3.49/1.08 thf(zip_derived_cl0, plain,
% 3.49/1.08 (![X0 : $i, X1 : $i]: ((mult @ X1 @ (ld @ X1 @ X0)) = (X0))),
% 3.49/1.08 inference('cnf', [status(esa)], [f01])).
% 3.49/1.08 thf(zip_derived_cl13, plain,
% 3.49/1.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.49/1.08 ((rd @ (mult @ (mult @ X2 @ X0) @ (mult @ X1 @ X0)) @ X0)
% 3.49/1.08 = (mult @ X2 @ (mult @ X0 @ X1)))),
% 3.49/1.08 inference('s_sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl3])).
% 3.49/1.08 thf(zip_derived_cl29, plain,
% 3.49/1.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.49/1.08 ((rd @ (mult @ (mult @ X2 @ (ld @ X1 @ X0)) @ X0) @ (ld @ X1 @ X0))
% 3.49/1.08 = (mult @ X2 @ (mult @ (ld @ X1 @ X0) @ X1)))),
% 3.49/1.08 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl13])).
% 3.49/1.08 thf(zip_derived_cl1218, plain,
% 3.49/1.08 (![X0 : $i, X1 : $i]:
% 3.49/1.08 ((rd @ (mult @ X0 @ X0) @ (ld @ X1 @ X0))
% 3.49/1.08 = (mult @ X1 @ (mult @ (ld @ X1 @ X0) @ X1)))),
% 3.49/1.08 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl29])).
% 3.49/1.08 thf(zip_derived_cl1301, plain,
% 3.49/1.08 (![X0 : $i, X1 : $i]:
% 3.49/1.08 ((rd @ (ld @ X0 @ X0) @ (ld @ X1 @ (ld @ X0 @ X0)))
% 3.49/1.08 = (mult @ X1 @ (mult @ (ld @ X1 @ (ld @ X0 @ X0)) @ X1)))),
% 3.49/1.08 inference('s_sup+', [status(thm)],
% 3.49/1.08 [zip_derived_cl807, zip_derived_cl1218])).
% 3.49/1.08 thf(zip_derived_cl0, plain,
% 3.49/1.08 (![X0 : $i, X1 : $i]: ((mult @ X1 @ (ld @ X1 @ X0)) = (X0))),
% 3.49/1.08 inference('cnf', [status(esa)], [f01])).
% 3.49/1.08 thf(zip_derived_cl3, plain,
% 3.49/1.08 (![X0 : $i, X1 : $i]: ((rd @ (mult @ X0 @ X1) @ X1) = (X0))),
% 3.49/1.08 inference('cnf', [status(esa)], [f04])).
% 3.49/1.08 thf(zip_derived_cl10, plain,
% 3.49/1.08 (![X0 : $i, X1 : $i]: ((rd @ X0 @ (ld @ X1 @ X0)) = (X1))),
% 3.49/1.08 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl3])).
% 3.49/1.08 thf(zip_derived_cl1308, plain,
% 3.49/1.08 (![X0 : $i, X1 : $i]:
% 3.49/1.08 ((X1) = (mult @ X1 @ (mult @ (ld @ X1 @ (ld @ X0 @ X0)) @ X1)))),
% 3.49/1.08 inference('demod', [status(thm)], [zip_derived_cl1301, zip_derived_cl10])).
% 3.49/1.08 thf(zip_derived_cl1, plain,
% 3.49/1.08 (![X0 : $i, X1 : $i]: ((ld @ X1 @ (mult @ X1 @ X0)) = (X0))),
% 3.49/1.08 inference('cnf', [status(esa)], [f02])).
% 3.49/1.08 thf(zip_derived_cl1320, plain,
% 3.49/1.08 (![X0 : $i, X1 : $i]:
% 3.49/1.08 ((ld @ X0 @ X0) = (mult @ (ld @ X0 @ (ld @ X1 @ X1)) @ X0))),
% 3.49/1.08 inference('s_sup+', [status(thm)], [zip_derived_cl1308, zip_derived_cl1])).
% 3.49/1.08 thf(zip_derived_cl3, plain,
% 3.49/1.08 (![X0 : $i, X1 : $i]: ((rd @ (mult @ X0 @ X1) @ X1) = (X0))),
% 3.49/1.08 inference('cnf', [status(esa)], [f04])).
% 3.49/1.08 thf(zip_derived_cl1385, plain,
% 3.49/1.08 (![X0 : $i, X1 : $i]:
% 3.49/1.08 ((rd @ (ld @ X0 @ X0) @ X0) = (ld @ X0 @ (ld @ X1 @ X1)))),
% 3.49/1.08 inference('s_sup+', [status(thm)], [zip_derived_cl1320, zip_derived_cl3])).
% 3.49/1.08 thf(zip_derived_cl0, plain,
% 3.49/1.08 (![X0 : $i, X1 : $i]: ((mult @ X1 @ (ld @ X1 @ X0)) = (X0))),
% 3.49/1.08 inference('cnf', [status(esa)], [f01])).
% 3.49/1.08 thf(zip_derived_cl1530, plain,
% 3.49/1.08 (![X0 : $i, X1 : $i]:
% 3.49/1.08 ((mult @ X0 @ (rd @ (ld @ X0 @ X0) @ X0)) = (ld @ X1 @ X1))),
% 3.49/1.08 inference('s_sup+', [status(thm)], [zip_derived_cl1385, zip_derived_cl0])).
% 3.49/1.08 thf(zip_derived_cl524, plain,
% 3.49/1.08 (![X0 : $i]:
% 3.49/1.08 ((X0) = (mult @ X0 @ (mult @ (ld @ X0 @ (ld @ X0 @ X0)) @ X0)))),
% 3.49/1.08 inference('demod', [status(thm)],
% 3.49/1.08 [zip_derived_cl509, zip_derived_cl136, zip_derived_cl0])).
% 3.49/1.08 thf(zip_derived_cl1, plain,
% 3.49/1.08 (![X0 : $i, X1 : $i]: ((ld @ X1 @ (mult @ X1 @ X0)) = (X0))),
% 3.49/1.08 inference('cnf', [status(esa)], [f02])).
% 3.49/1.08 thf(zip_derived_cl772, plain,
% 3.49/1.08 (![X0 : $i]: ((ld @ X0 @ X0) = (mult @ (ld @ X0 @ (ld @ X0 @ X0)) @ X0))),
% 3.49/1.08 inference('s_sup+', [status(thm)], [zip_derived_cl524, zip_derived_cl1])).
% 3.49/1.08 thf(zip_derived_cl3, plain,
% 3.49/1.08 (![X0 : $i, X1 : $i]: ((rd @ (mult @ X0 @ X1) @ X1) = (X0))),
% 3.49/1.08 inference('cnf', [status(esa)], [f04])).
% 3.49/1.08 thf(zip_derived_cl826, plain,
% 3.49/1.08 (![X0 : $i]: ((rd @ (ld @ X0 @ X0) @ X0) = (ld @ X0 @ (ld @ X0 @ X0)))),
% 3.49/1.08 inference('s_sup+', [status(thm)], [zip_derived_cl772, zip_derived_cl3])).
% 3.49/1.08 thf(zip_derived_cl0, plain,
% 3.49/1.08 (![X0 : $i, X1 : $i]: ((mult @ X1 @ (ld @ X1 @ X0)) = (X0))),
% 3.49/1.08 inference('cnf', [status(esa)], [f01])).
% 3.49/1.08 thf(zip_derived_cl154, plain,
% 3.49/1.08 (![X0 : $i, X1 : $i]:
% 3.49/1.08 ((mult @ (mult @ X1 @ X0) @ (ld @ X0 @ X0))
% 3.49/1.08 = (mult @ (mult @ X1 @ (ld @ X0 @ X0)) @ X0))),
% 3.49/1.08 inference('demod', [status(thm)], [zip_derived_cl145, zip_derived_cl0])).
% 3.49/1.08 thf(zip_derived_cl511, plain,
% 3.49/1.08 (![X0 : $i]:
% 3.49/1.08 ((mult @ (mult @ X0 @ X0) @ (ld @ X0 @ X0)) = (mult @ X0 @ X0))),
% 3.49/1.08 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl154])).
% 3.49/1.08 thf(zip_derived_cl1, plain,
% 3.49/1.08 (![X0 : $i, X1 : $i]: ((ld @ X1 @ (mult @ X1 @ X0)) = (X0))),
% 3.49/1.08 inference('cnf', [status(esa)], [f02])).
% 3.49/1.08 thf(zip_derived_cl526, plain,
% 3.49/1.08 (![X0 : $i]:
% 3.49/1.08 ((ld @ (mult @ X0 @ X0) @ (mult @ X0 @ X0)) = (ld @ X0 @ X0))),
% 3.49/1.08 inference('s_sup+', [status(thm)], [zip_derived_cl511, zip_derived_cl1])).
% 3.49/1.08 thf(zip_derived_cl136, plain,
% 3.49/1.08 (![X0 : $i]: ((mult @ (ld @ X0 @ X0) @ X0) = (X0))),
% 3.49/1.08 inference('s_sup+', [status(thm)], [zip_derived_cl119, zip_derived_cl2])).
% 3.49/1.08 thf(zip_derived_cl554, plain,
% 3.49/1.08 (![X0 : $i]:
% 3.49/1.08 ((mult @ (ld @ X0 @ X0) @ (mult @ X0 @ X0)) = (mult @ X0 @ X0))),
% 3.49/1.08 inference('s_sup+', [status(thm)], [zip_derived_cl526, zip_derived_cl136])).
% 3.49/1.08 thf(zip_derived_cl2, plain,
% 3.49/1.08 (![X0 : $i, X1 : $i]: ((mult @ (rd @ X0 @ X1) @ X1) = (X0))),
% 3.49/1.08 inference('cnf', [status(esa)], [f03])).
% 3.49/1.08 thf(zip_derived_cl13, plain,
% 3.49/1.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.49/1.08 ((rd @ (mult @ (mult @ X2 @ X0) @ (mult @ X1 @ X0)) @ X0)
% 3.49/1.08 = (mult @ X2 @ (mult @ X0 @ X1)))),
% 3.49/1.08 inference('s_sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl3])).
% 3.49/1.08 thf(zip_derived_cl34, plain,
% 3.49/1.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.49/1.08 ((rd @ (mult @ X0 @ (mult @ X1 @ X2)) @ X2)
% 3.49/1.08 = (mult @ (rd @ X0 @ X2) @ (mult @ X2 @ X1)))),
% 3.49/1.08 inference('s_sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl13])).
% 3.49/1.08 thf(zip_derived_cl587, plain,
% 3.49/1.08 (![X0 : $i]:
% 3.49/1.08 ((rd @ (mult @ X0 @ X0) @ X0)
% 3.49/1.08 = (mult @ (rd @ (ld @ X0 @ X0) @ X0) @ (mult @ X0 @ X0)))),
% 3.49/1.08 inference('s_sup+', [status(thm)], [zip_derived_cl554, zip_derived_cl34])).
% 3.49/1.08 thf(zip_derived_cl3, plain,
% 3.49/1.08 (![X0 : $i, X1 : $i]: ((rd @ (mult @ X0 @ X1) @ X1) = (X0))),
% 3.49/1.08 inference('cnf', [status(esa)], [f04])).
% 3.49/1.08 thf(zip_derived_cl608, plain,
% 3.49/1.08 (![X0 : $i]:
% 3.49/1.08 ((X0) = (mult @ (rd @ (ld @ X0 @ X0) @ X0) @ (mult @ X0 @ X0)))),
% 3.49/1.08 inference('demod', [status(thm)], [zip_derived_cl587, zip_derived_cl3])).
% 3.49/1.08 thf(zip_derived_cl826, plain,
% 3.49/1.08 (![X0 : $i]: ((rd @ (ld @ X0 @ X0) @ X0) = (ld @ X0 @ (ld @ X0 @ X0)))),
% 3.49/1.08 inference('s_sup+', [status(thm)], [zip_derived_cl772, zip_derived_cl3])).
% 3.49/1.08 thf(zip_derived_cl921, plain,
% 3.49/1.08 (![X0 : $i]:
% 3.49/1.08 ((X0) = (mult @ (ld @ X0 @ (ld @ X0 @ X0)) @ (mult @ X0 @ X0)))),
% 3.49/1.08 inference('demod', [status(thm)], [zip_derived_cl608, zip_derived_cl826])).
% 3.49/1.08 thf(zip_derived_cl3, plain,
% 3.49/1.08 (![X0 : $i, X1 : $i]: ((rd @ (mult @ X0 @ X1) @ X1) = (X0))),
% 3.49/1.08 inference('cnf', [status(esa)], [f04])).
% 3.49/1.08 thf(zip_derived_cl930, plain,
% 3.49/1.08 (![X0 : $i]: ((rd @ X0 @ (mult @ X0 @ X0)) = (ld @ X0 @ (ld @ X0 @ X0)))),
% 3.49/1.08 inference('s_sup+', [status(thm)], [zip_derived_cl921, zip_derived_cl3])).
% 3.49/1.08 thf(zip_derived_cl963, plain,
% 3.49/1.08 (![X0 : $i]: ((rd @ (ld @ X0 @ X0) @ X0) = (rd @ X0 @ (mult @ X0 @ X0)))),
% 3.49/1.08 inference('demod', [status(thm)], [zip_derived_cl826, zip_derived_cl930])).
% 3.49/1.08 thf(zip_derived_cl930, plain,
% 3.49/1.08 (![X0 : $i]: ((rd @ X0 @ (mult @ X0 @ X0)) = (ld @ X0 @ (ld @ X0 @ X0)))),
% 3.49/1.08 inference('s_sup+', [status(thm)], [zip_derived_cl921, zip_derived_cl3])).
% 3.49/1.08 thf(zip_derived_cl0, plain,
% 3.49/1.08 (![X0 : $i, X1 : $i]: ((mult @ X1 @ (ld @ X1 @ X0)) = (X0))),
% 3.49/1.08 inference('cnf', [status(esa)], [f01])).
% 3.49/1.08 thf(zip_derived_cl965, plain,
% 3.49/1.08 (![X0 : $i]:
% 3.49/1.08 ((mult @ X0 @ (rd @ X0 @ (mult @ X0 @ X0))) = (ld @ X0 @ X0))),
% 3.49/1.08 inference('s_sup+', [status(thm)], [zip_derived_cl930, zip_derived_cl0])).
% 3.49/1.08 thf(zip_derived_cl1554, plain,
% 3.49/1.08 (![X0 : $i, X1 : $i]: ((ld @ X0 @ X0) = (ld @ X1 @ X1))),
% 3.49/1.08 inference('demod', [status(thm)],
% 3.49/1.08 [zip_derived_cl1530, zip_derived_cl963, zip_derived_cl965])).
% 3.49/1.08 thf(zip_derived_cl0, plain,
% 3.49/1.08 (![X0 : $i, X1 : $i]: ((mult @ X1 @ (ld @ X1 @ X0)) = (X0))),
% 3.49/1.08 inference('cnf', [status(esa)], [f01])).
% 3.49/1.08 thf(zip_derived_cl1565, plain,
% 3.49/1.08 (![X0 : $i, X1 : $i]: ((mult @ X1 @ (ld @ X0 @ X0)) = (X1))),
% 3.49/1.08 inference('s_sup+', [status(thm)], [zip_derived_cl1554, zip_derived_cl0])).
% 3.49/1.08 thf(goal, conjecture,
% 3.49/1.08 (( tuple @ ( mult @ X0 @ ( x1 @ X0 ) ) @ ( mult @ ( x1_2 @ X0 ) @ X0 ) ) =
% 3.49/1.08 ( tuple @ ( x1 @ X0 ) @ ( x1_2 @ X0 ) ))).
% 3.49/1.08 thf(zf_stmt_0, negated_conjecture,
% 3.49/1.08 (( tuple @ ( mult @ X0 @ ( x1 @ X0 ) ) @ ( mult @ ( x1_2 @ X0 ) @ X0 ) ) !=
% 3.49/1.08 ( tuple @ ( x1 @ X0 ) @ ( x1_2 @ X0 ) )),
% 3.49/1.08 inference('cnf.neg', [status(esa)], [goal])).
% 3.49/1.08 thf(zip_derived_cl5, plain,
% 3.49/1.08 (![X0 : $i]:
% 3.49/1.08 ((tuple @ (mult @ X0 @ (x1 @ X0)) @ (mult @ (x1_2 @ X0) @ X0))
% 3.49/1.08 != (tuple @ (x1 @ X0) @ (x1_2 @ X0)))),
% 3.49/1.08 inference('cnf', [status(esa)], [zf_stmt_0])).
% 3.49/1.08 thf(zip_derived_cl1676, plain,
% 3.49/1.08 (![X0 : $i]:
% 3.49/1.08 ((tuple @ (mult @ (ld @ X0 @ X0) @ (x1 @ (ld @ X0 @ X0))) @
% 3.49/1.08 (x1_2 @ (ld @ X0 @ X0)))
% 3.49/1.08 != (tuple @ (x1 @ (ld @ X0 @ X0)) @ (x1_2 @ (ld @ X0 @ X0))))),
% 3.49/1.08 inference('s_sup-', [status(thm)], [zip_derived_cl1565, zip_derived_cl5])).
% 3.49/1.08 thf(zip_derived_cl1554, plain,
% 3.49/1.08 (![X0 : $i, X1 : $i]: ((ld @ X0 @ X0) = (ld @ X1 @ X1))),
% 3.49/1.08 inference('demod', [status(thm)],
% 3.49/1.08 [zip_derived_cl1530, zip_derived_cl963, zip_derived_cl965])).
% 3.49/1.08 thf(zip_derived_cl136, plain,
% 3.49/1.08 (![X0 : $i]: ((mult @ (ld @ X0 @ X0) @ X0) = (X0))),
% 3.49/1.08 inference('s_sup+', [status(thm)], [zip_derived_cl119, zip_derived_cl2])).
% 3.49/1.08 thf(zip_derived_cl1571, plain,
% 3.49/1.08 (![X0 : $i, X1 : $i]: ((mult @ (ld @ X0 @ X0) @ X1) = (X1))),
% 3.49/1.08 inference('s_sup+', [status(thm)],
% 3.49/1.08 [zip_derived_cl1554, zip_derived_cl136])).
% 3.49/1.08 thf(zip_derived_cl1821, plain,
% 3.49/1.08 (![X0 : $i]:
% 3.49/1.08 ((tuple @ (x1 @ (ld @ X0 @ X0)) @ (x1_2 @ (ld @ X0 @ X0)))
% 3.49/1.08 != (tuple @ (x1 @ (ld @ X0 @ X0)) @ (x1_2 @ (ld @ X0 @ X0))))),
% 3.49/1.08 inference('demod', [status(thm)],
% 3.49/1.08 [zip_derived_cl1676, zip_derived_cl1571])).
% 3.49/1.08 thf(zip_derived_cl1822, plain, ($false),
% 3.49/1.08 inference('simplify', [status(thm)], [zip_derived_cl1821])).
% 3.49/1.08
% 3.49/1.08 % SZS output end Refutation
% 3.49/1.08
% 3.49/1.08
% 3.49/1.08 % Terminating...
% 3.49/1.17 % Runner terminated.
% 3.49/1.18 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------