TSTP Solution File: GRP687-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP687-1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.dyNvaixcOe true
% Computer : n003.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 01:52:56 EDT 2023
% Result : Unsatisfiable 31.31s 5.07s
% Output : Refutation 31.31s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP687-1 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.dyNvaixcOe true
% 0.14/0.34 % Computer : n003.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
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 28 21:24:10 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running portfolio for 300 s
% 0.14/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.34 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.45/0.64 % Total configuration time : 435
% 0.45/0.64 % Estimated wc time : 1092
% 0.45/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 31.31/5.07 % Solved by fo/fo4.sh.
% 31.31/5.07 % done 671 iterations in 4.285s
% 31.31/5.07 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 31.31/5.07 % SZS output start Refutation
% 31.31/5.07 thf(a_type, type, a: $i).
% 31.31/5.07 thf(ld_type, type, ld: $i > $i > $i).
% 31.31/5.07 thf(rd_type, type, rd: $i > $i > $i).
% 31.31/5.07 thf(c_type, type, c: $i).
% 31.31/5.07 thf(mult_type, type, mult: $i > $i > $i).
% 31.31/5.07 thf(b_type, type, b: $i).
% 31.31/5.07 thf(unit_type, type, unit: $i).
% 31.31/5.07 thf(goals, conjecture,
% 31.31/5.07 (( mult @ a @ ( mult @ b @ ( mult @ b @ c ) ) ) =
% 31.31/5.07 ( mult @ ( mult @ a @ ( mult @ b @ b ) ) @ c ))).
% 31.31/5.07 thf(zf_stmt_0, negated_conjecture,
% 31.31/5.07 (( mult @ a @ ( mult @ b @ ( mult @ b @ c ) ) ) !=
% 31.31/5.07 ( mult @ ( mult @ a @ ( mult @ b @ b ) ) @ c )),
% 31.31/5.07 inference('cnf.neg', [status(esa)], [goals])).
% 31.31/5.07 thf(zip_derived_cl7, plain,
% 31.31/5.07 (((mult @ a @ (mult @ b @ (mult @ b @ c)))
% 31.31/5.07 != (mult @ (mult @ a @ (mult @ b @ b)) @ c))),
% 31.31/5.07 inference('cnf', [status(esa)], [zf_stmt_0])).
% 31.31/5.07 thf(c07, axiom,
% 31.31/5.07 (( mult @ ( mult @ A @ A ) @ ( mult @ B @ C ) ) =
% 31.31/5.07 ( mult @ ( mult @ A @ ( mult @ A @ B ) ) @ C ))).
% 31.31/5.07 thf(zip_derived_cl6, plain,
% 31.31/5.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 31.31/5.07 ((mult @ (mult @ X0 @ X0) @ (mult @ X1 @ X2))
% 31.31/5.07 = (mult @ (mult @ X0 @ (mult @ X0 @ X1)) @ X2))),
% 31.31/5.07 inference('cnf', [status(esa)], [c07])).
% 31.31/5.07 thf(c05, axiom, (( mult @ A @ unit ) = ( A ))).
% 31.31/5.07 thf(zip_derived_cl4, plain, (![X0 : $i]: ((mult @ X0 @ unit) = (X0))),
% 31.31/5.07 inference('cnf', [status(esa)], [c05])).
% 31.31/5.07 thf(zip_derived_cl29, plain,
% 31.31/5.07 (![X0 : $i, X1 : $i]:
% 31.31/5.07 ((mult @ (mult @ X1 @ X1) @ (mult @ X0 @ unit))
% 31.31/5.07 = (mult @ X1 @ (mult @ X1 @ X0)))),
% 31.31/5.07 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl4])).
% 31.31/5.07 thf(zip_derived_cl4, plain, (![X0 : $i]: ((mult @ X0 @ unit) = (X0))),
% 31.31/5.07 inference('cnf', [status(esa)], [c05])).
% 31.31/5.07 thf(zip_derived_cl44, plain,
% 31.31/5.07 (![X0 : $i, X1 : $i]:
% 31.31/5.07 ((mult @ (mult @ X1 @ X1) @ X0) = (mult @ X1 @ (mult @ X1 @ X0)))),
% 31.31/5.07 inference('demod', [status(thm)], [zip_derived_cl29, zip_derived_cl4])).
% 31.31/5.07 thf(c01, axiom, (( mult @ A @ ( ld @ A @ B ) ) = ( B ))).
% 31.31/5.07 thf(zip_derived_cl0, plain,
% 31.31/5.07 (![X0 : $i, X1 : $i]: ((mult @ X1 @ (ld @ X1 @ X0)) = (X0))),
% 31.31/5.07 inference('cnf', [status(esa)], [c01])).
% 31.31/5.07 thf(zip_derived_cl61, plain,
% 31.31/5.07 (![X0 : $i, X1 : $i]:
% 31.31/5.07 ((mult @ X1 @ (mult @ X1 @ (ld @ (mult @ X1 @ X1) @ X0))) = (X0))),
% 31.31/5.07 inference('sup+', [status(thm)], [zip_derived_cl44, zip_derived_cl0])).
% 31.31/5.07 thf(c02, axiom, (( ld @ A @ ( mult @ A @ B ) ) = ( B ))).
% 31.31/5.07 thf(zip_derived_cl1, plain,
% 31.31/5.07 (![X0 : $i, X1 : $i]: ((ld @ X1 @ (mult @ X1 @ X0)) = (X0))),
% 31.31/5.07 inference('cnf', [status(esa)], [c02])).
% 31.31/5.07 thf(zip_derived_cl283, plain,
% 31.31/5.07 (![X0 : $i, X1 : $i]:
% 31.31/5.07 ((ld @ X1 @ X0) = (mult @ X1 @ (ld @ (mult @ X1 @ X1) @ X0)))),
% 31.31/5.07 inference('sup+', [status(thm)], [zip_derived_cl61, zip_derived_cl1])).
% 31.31/5.07 thf(zip_derived_cl0, plain,
% 31.31/5.07 (![X0 : $i, X1 : $i]: ((mult @ X1 @ (ld @ X1 @ X0)) = (X0))),
% 31.31/5.07 inference('cnf', [status(esa)], [c01])).
% 31.31/5.07 thf(c04, axiom, (( rd @ ( mult @ A @ B ) @ B ) = ( A ))).
% 31.31/5.07 thf(zip_derived_cl3, plain,
% 31.31/5.07 (![X0 : $i, X1 : $i]: ((rd @ (mult @ X0 @ X1) @ X1) = (X0))),
% 31.31/5.07 inference('cnf', [status(esa)], [c04])).
% 31.31/5.07 thf(zip_derived_cl16, plain,
% 31.31/5.07 (![X0 : $i, X1 : $i]: ((rd @ X0 @ (ld @ X1 @ X0)) = (X1))),
% 31.31/5.07 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl3])).
% 31.31/5.07 thf(c03, axiom, (( mult @ ( rd @ A @ B ) @ B ) = ( A ))).
% 31.31/5.07 thf(zip_derived_cl2, plain,
% 31.31/5.07 (![X0 : $i, X1 : $i]: ((mult @ (rd @ X0 @ X1) @ X1) = (X0))),
% 31.31/5.07 inference('cnf', [status(esa)], [c03])).
% 31.31/5.07 thf(zip_derived_cl6, plain,
% 31.31/5.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 31.31/5.07 ((mult @ (mult @ X0 @ X0) @ (mult @ X1 @ X2))
% 31.31/5.07 = (mult @ (mult @ X0 @ (mult @ X0 @ X1)) @ X2))),
% 31.31/5.07 inference('cnf', [status(esa)], [c07])).
% 31.31/5.07 thf(zip_derived_cl44, plain,
% 31.31/5.07 (![X0 : $i, X1 : $i]:
% 31.31/5.07 ((mult @ (mult @ X1 @ X1) @ X0) = (mult @ X1 @ (mult @ X1 @ X0)))),
% 31.31/5.07 inference('demod', [status(thm)], [zip_derived_cl29, zip_derived_cl4])).
% 31.31/5.07 thf(zip_derived_cl57, plain,
% 31.31/5.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 31.31/5.07 ((mult @ X0 @ (mult @ X0 @ (mult @ X1 @ X2)))
% 31.31/5.07 = (mult @ (mult @ X0 @ (mult @ X0 @ X1)) @ X2))),
% 31.31/5.07 inference('demod', [status(thm)], [zip_derived_cl6, zip_derived_cl44])).
% 31.31/5.07 thf(zip_derived_cl3, plain,
% 31.31/5.07 (![X0 : $i, X1 : $i]: ((rd @ (mult @ X0 @ X1) @ X1) = (X0))),
% 31.31/5.07 inference('cnf', [status(esa)], [c04])).
% 31.31/5.07 thf(zip_derived_cl88, plain,
% 31.31/5.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 31.31/5.07 ((rd @ (mult @ X2 @ (mult @ X2 @ (mult @ X1 @ X0))) @ X0)
% 31.31/5.07 = (mult @ X2 @ (mult @ X2 @ X1)))),
% 31.31/5.07 inference('sup+', [status(thm)], [zip_derived_cl57, zip_derived_cl3])).
% 31.31/5.07 thf(zip_derived_cl2033, plain,
% 31.31/5.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 31.31/5.07 ((rd @ (mult @ X2 @ (mult @ X2 @ X0)) @ X1)
% 31.31/5.07 = (mult @ X2 @ (mult @ X2 @ (rd @ X0 @ X1))))),
% 31.31/5.07 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl88])).
% 31.31/5.07 thf(zip_derived_cl2, plain,
% 31.31/5.07 (![X0 : $i, X1 : $i]: ((mult @ (rd @ X0 @ X1) @ X1) = (X0))),
% 31.31/5.07 inference('cnf', [status(esa)], [c03])).
% 31.31/5.07 thf(zip_derived_cl9492, plain,
% 31.31/5.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 31.31/5.07 ((mult @ (mult @ X2 @ (mult @ X2 @ (rd @ X1 @ X0))) @ X0)
% 31.31/5.07 = (mult @ X2 @ (mult @ X2 @ X1)))),
% 31.31/5.07 inference('sup+', [status(thm)], [zip_derived_cl2033, zip_derived_cl2])).
% 31.31/5.07 thf(zip_derived_cl11660, plain,
% 31.31/5.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 31.31/5.07 ((mult @ (mult @ X2 @ (mult @ X2 @ X0)) @ (ld @ X0 @ X1))
% 31.31/5.07 = (mult @ X2 @ (mult @ X2 @ X1)))),
% 31.31/5.07 inference('sup+', [status(thm)], [zip_derived_cl16, zip_derived_cl9492])).
% 31.31/5.07 thf(zip_derived_cl13441, plain,
% 31.31/5.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 31.31/5.07 ((mult @ (mult @ X1 @ (ld @ X1 @ X0)) @
% 31.31/5.07 (ld @ (ld @ (mult @ X1 @ X1) @ X0) @ X2))
% 31.31/5.07 = (mult @ X1 @ (mult @ X1 @ X2)))),
% 31.31/5.07 inference('sup+', [status(thm)], [zip_derived_cl283, zip_derived_cl11660])).
% 31.31/5.07 thf(zip_derived_cl0, plain,
% 31.31/5.07 (![X0 : $i, X1 : $i]: ((mult @ X1 @ (ld @ X1 @ X0)) = (X0))),
% 31.31/5.07 inference('cnf', [status(esa)], [c01])).
% 31.31/5.07 thf(zip_derived_cl283, plain,
% 31.31/5.07 (![X0 : $i, X1 : $i]:
% 31.31/5.07 ((ld @ X1 @ X0) = (mult @ X1 @ (ld @ (mult @ X1 @ X1) @ X0)))),
% 31.31/5.07 inference('sup+', [status(thm)], [zip_derived_cl61, zip_derived_cl1])).
% 31.31/5.07 thf(zip_derived_cl2, plain,
% 31.31/5.07 (![X0 : $i, X1 : $i]: ((mult @ (rd @ X0 @ X1) @ X1) = (X0))),
% 31.31/5.07 inference('cnf', [status(esa)], [c03])).
% 31.31/5.07 thf(zip_derived_cl1, plain,
% 31.31/5.07 (![X0 : $i, X1 : $i]: ((ld @ X1 @ (mult @ X1 @ X0)) = (X0))),
% 31.31/5.07 inference('cnf', [status(esa)], [c02])).
% 31.31/5.07 thf(zip_derived_cl13, plain,
% 31.31/5.07 (![X0 : $i, X1 : $i]: ((ld @ (rd @ X0 @ X1) @ X0) = (X1))),
% 31.31/5.07 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl1])).
% 31.31/5.07 thf(zip_derived_cl4, plain, (![X0 : $i]: ((mult @ X0 @ unit) = (X0))),
% 31.31/5.07 inference('cnf', [status(esa)], [c05])).
% 31.31/5.07 thf(zip_derived_cl0, plain,
% 31.31/5.07 (![X0 : $i, X1 : $i]: ((mult @ X1 @ (ld @ X1 @ X0)) = (X0))),
% 31.31/5.07 inference('cnf', [status(esa)], [c01])).
% 31.31/5.07 thf(zip_derived_cl44, plain,
% 31.31/5.07 (![X0 : $i, X1 : $i]:
% 31.31/5.07 ((mult @ (mult @ X1 @ X1) @ X0) = (mult @ X1 @ (mult @ X1 @ X0)))),
% 31.31/5.07 inference('demod', [status(thm)], [zip_derived_cl29, zip_derived_cl4])).
% 31.31/5.07 thf(zip_derived_cl3, plain,
% 31.31/5.07 (![X0 : $i, X1 : $i]: ((rd @ (mult @ X0 @ X1) @ X1) = (X0))),
% 31.31/5.07 inference('cnf', [status(esa)], [c04])).
% 31.31/5.07 thf(zip_derived_cl59, plain,
% 31.31/5.07 (![X0 : $i, X1 : $i]:
% 31.31/5.07 ((rd @ (mult @ X1 @ (mult @ X1 @ X0)) @ X0) = (mult @ X1 @ X1))),
% 31.31/5.07 inference('sup+', [status(thm)], [zip_derived_cl44, zip_derived_cl3])).
% 31.31/5.07 thf(zip_derived_cl76, plain,
% 31.31/5.07 (![X0 : $i, X1 : $i]:
% 31.31/5.07 ((rd @ (mult @ X1 @ X0) @ (ld @ X1 @ X0)) = (mult @ X1 @ X1))),
% 31.31/5.07 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl59])).
% 31.31/5.07 thf(zip_derived_cl124, plain,
% 31.31/5.07 (![X0 : $i]: ((rd @ X0 @ (ld @ X0 @ unit)) = (mult @ X0 @ X0))),
% 31.31/5.07 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl76])).
% 31.31/5.07 thf(zip_derived_cl2, plain,
% 31.31/5.07 (![X0 : $i, X1 : $i]: ((mult @ (rd @ X0 @ X1) @ X1) = (X0))),
% 31.31/5.07 inference('cnf', [status(esa)], [c03])).
% 31.31/5.07 thf(zip_derived_cl205, plain,
% 31.31/5.07 (![X0 : $i]: ((mult @ (mult @ X0 @ X0) @ (ld @ X0 @ unit)) = (X0))),
% 31.31/5.07 inference('sup+', [status(thm)], [zip_derived_cl124, zip_derived_cl2])).
% 31.31/5.07 thf(zip_derived_cl57, plain,
% 31.31/5.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 31.31/5.07 ((mult @ X0 @ (mult @ X0 @ (mult @ X1 @ X2)))
% 31.31/5.07 = (mult @ (mult @ X0 @ (mult @ X0 @ X1)) @ X2))),
% 31.31/5.07 inference('demod', [status(thm)], [zip_derived_cl6, zip_derived_cl44])).
% 31.31/5.07 thf(zip_derived_cl1, plain,
% 31.31/5.07 (![X0 : $i, X1 : $i]: ((ld @ X1 @ (mult @ X1 @ X0)) = (X0))),
% 31.31/5.07 inference('cnf', [status(esa)], [c02])).
% 31.31/5.07 thf(zip_derived_cl86, plain,
% 31.31/5.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 31.31/5.07 ((ld @ (mult @ X2 @ (mult @ X2 @ X1)) @
% 31.31/5.07 (mult @ X2 @ (mult @ X2 @ (mult @ X1 @ X0)))) = (X0))),
% 31.31/5.07 inference('sup+', [status(thm)], [zip_derived_cl57, zip_derived_cl1])).
% 31.31/5.07 thf(zip_derived_cl624, plain,
% 31.31/5.07 (![X0 : $i, X1 : $i]:
% 31.31/5.07 ((ld @ (mult @ (mult @ X0 @ X0) @ X0) @
% 31.31/5.07 (mult @ (mult @ X0 @ X0) @
% 31.31/5.07 (mult @ (mult @ X0 @ X0) @ (mult @ (ld @ X0 @ unit) @ X1))))
% 31.31/5.07 = (X1))),
% 31.31/5.07 inference('sup+', [status(thm)], [zip_derived_cl205, zip_derived_cl86])).
% 31.31/5.07 thf(zip_derived_cl44, plain,
% 31.31/5.07 (![X0 : $i, X1 : $i]:
% 31.31/5.07 ((mult @ (mult @ X1 @ X1) @ X0) = (mult @ X1 @ (mult @ X1 @ X0)))),
% 31.31/5.07 inference('demod', [status(thm)], [zip_derived_cl29, zip_derived_cl4])).
% 31.31/5.07 thf(zip_derived_cl44, plain,
% 31.31/5.07 (![X0 : $i, X1 : $i]:
% 31.31/5.07 ((mult @ (mult @ X1 @ X1) @ X0) = (mult @ X1 @ (mult @ X1 @ X0)))),
% 31.31/5.07 inference('demod', [status(thm)], [zip_derived_cl29, zip_derived_cl4])).
% 31.31/5.07 thf(zip_derived_cl44, plain,
% 31.31/5.07 (![X0 : $i, X1 : $i]:
% 31.31/5.07 ((mult @ (mult @ X1 @ X1) @ X0) = (mult @ X1 @ (mult @ X1 @ X0)))),
% 31.31/5.07 inference('demod', [status(thm)], [zip_derived_cl29, zip_derived_cl4])).
% 31.31/5.07 thf(zip_derived_cl86, plain,
% 31.31/5.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 31.31/5.07 ((ld @ (mult @ X2 @ (mult @ X2 @ X1)) @
% 31.31/5.07 (mult @ X2 @ (mult @ X2 @ (mult @ X1 @ X0)))) = (X0))),
% 31.31/5.07 inference('sup+', [status(thm)], [zip_derived_cl57, zip_derived_cl1])).
% 31.31/5.07 thf(zip_derived_cl645, plain,
% 31.31/5.07 (![X0 : $i, X1 : $i]:
% 31.31/5.07 ((mult @ X0 @ (mult @ (ld @ X0 @ unit) @ X1)) = (X1))),
% 31.31/5.07 inference('demod', [status(thm)],
% 31.31/5.07 [zip_derived_cl624, zip_derived_cl44, zip_derived_cl44,
% 31.31/5.07 zip_derived_cl44, zip_derived_cl86])).
% 31.31/5.07 thf(zip_derived_cl676, plain,
% 31.31/5.07 (![X0 : $i, X1 : $i]:
% 31.31/5.07 ((mult @ (rd @ unit @ X0) @ (mult @ X0 @ X1)) = (X1))),
% 31.31/5.07 inference('sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl645])).
% 31.31/5.07 thf(zip_derived_cl1, plain,
% 31.31/5.07 (![X0 : $i, X1 : $i]: ((ld @ X1 @ (mult @ X1 @ X0)) = (X0))),
% 31.31/5.07 inference('cnf', [status(esa)], [c02])).
% 31.31/5.07 thf(zip_derived_cl687, plain,
% 31.31/5.07 (![X0 : $i, X1 : $i]: ((ld @ (rd @ unit @ X1) @ X0) = (mult @ X1 @ X0))),
% 31.31/5.07 inference('sup+', [status(thm)], [zip_derived_cl676, zip_derived_cl1])).
% 31.31/5.07 thf(zip_derived_cl4, plain, (![X0 : $i]: ((mult @ X0 @ unit) = (X0))),
% 31.31/5.07 inference('cnf', [status(esa)], [c05])).
% 31.31/5.07 thf(zip_derived_cl1, plain,
% 31.31/5.07 (![X0 : $i, X1 : $i]: ((ld @ X1 @ (mult @ X1 @ X0)) = (X0))),
% 31.31/5.07 inference('cnf', [status(esa)], [c02])).
% 31.31/5.07 thf(zip_derived_cl11, plain, (![X0 : $i]: ((ld @ X0 @ X0) = (unit))),
% 31.31/5.07 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl1])).
% 31.31/5.07 thf(zip_derived_cl805, plain,
% 31.31/5.07 (![X0 : $i]: ((mult @ X0 @ (rd @ unit @ X0)) = (unit))),
% 31.31/5.07 inference('sup+', [status(thm)], [zip_derived_cl687, zip_derived_cl11])).
% 31.31/5.07 thf(zip_derived_cl86, plain,
% 31.31/5.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 31.31/5.07 ((ld @ (mult @ X2 @ (mult @ X2 @ X1)) @
% 31.31/5.07 (mult @ X2 @ (mult @ X2 @ (mult @ X1 @ X0)))) = (X0))),
% 31.31/5.07 inference('sup+', [status(thm)], [zip_derived_cl57, zip_derived_cl1])).
% 31.31/5.07 thf(zip_derived_cl835, plain,
% 31.31/5.07 (![X0 : $i, X1 : $i]:
% 31.31/5.07 ((ld @ (mult @ X1 @ (mult @ X1 @ X0)) @
% 31.31/5.07 (mult @ X1 @ (mult @ X1 @ unit))) = (rd @ unit @ X0))),
% 31.31/5.07 inference('sup+', [status(thm)], [zip_derived_cl805, zip_derived_cl86])).
% 31.31/5.07 thf(zip_derived_cl4, plain, (![X0 : $i]: ((mult @ X0 @ unit) = (X0))),
% 31.31/5.07 inference('cnf', [status(esa)], [c05])).
% 31.31/5.07 thf(zip_derived_cl856, plain,
% 31.31/5.07 (![X0 : $i, X1 : $i]:
% 31.31/5.07 ((ld @ (mult @ X1 @ (mult @ X1 @ X0)) @ (mult @ X1 @ X1))
% 31.31/5.07 = (rd @ unit @ X0))),
% 31.31/5.07 inference('demod', [status(thm)], [zip_derived_cl835, zip_derived_cl4])).
% 31.31/5.07 thf(zip_derived_cl3964, plain,
% 31.31/5.07 (![X0 : $i, X1 : $i]:
% 31.31/5.07 ((ld @ (mult @ X1 @ (ld @ X1 @ X0)) @ (mult @ X1 @ X1))
% 31.31/5.07 = (rd @ unit @ (ld @ (mult @ X1 @ X1) @ X0)))),
% 31.31/5.07 inference('sup+', [status(thm)], [zip_derived_cl283, zip_derived_cl856])).
% 31.31/5.07 thf(zip_derived_cl0, plain,
% 31.31/5.07 (![X0 : $i, X1 : $i]: ((mult @ X1 @ (ld @ X1 @ X0)) = (X0))),
% 31.31/5.07 inference('cnf', [status(esa)], [c01])).
% 31.31/5.07 thf(zip_derived_cl4002, plain,
% 31.31/5.07 (![X0 : $i, X1 : $i]:
% 31.31/5.07 ((ld @ X0 @ (mult @ X1 @ X1))
% 31.31/5.07 = (rd @ unit @ (ld @ (mult @ X1 @ X1) @ X0)))),
% 31.31/5.07 inference('demod', [status(thm)], [zip_derived_cl3964, zip_derived_cl0])).
% 31.31/5.07 thf(zip_derived_cl0, plain,
% 31.31/5.07 (![X0 : $i, X1 : $i]: ((mult @ X1 @ (ld @ X1 @ X0)) = (X0))),
% 31.31/5.07 inference('cnf', [status(esa)], [c01])).
% 31.31/5.07 thf(zip_derived_cl676, plain,
% 31.31/5.07 (![X0 : $i, X1 : $i]:
% 31.31/5.07 ((mult @ (rd @ unit @ X0) @ (mult @ X0 @ X1)) = (X1))),
% 31.31/5.07 inference('sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl645])).
% 31.31/5.07 thf(zip_derived_cl703, plain,
% 31.31/5.07 (![X0 : $i, X1 : $i]: ((mult @ (rd @ unit @ X1) @ X0) = (ld @ X1 @ X0))),
% 31.31/5.07 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl676])).
% 31.31/5.07 thf(zip_derived_cl4700, plain,
% 31.31/5.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 31.31/5.07 ((mult @ (ld @ X1 @ (mult @ X0 @ X0)) @ X2)
% 31.31/5.07 = (ld @ (ld @ (mult @ X0 @ X0) @ X1) @ X2))),
% 31.31/5.07 inference('sup+', [status(thm)], [zip_derived_cl4002, zip_derived_cl703])).
% 31.31/5.07 thf(zip_derived_cl13499, plain,
% 31.31/5.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 31.31/5.07 ((mult @ X0 @ (mult @ (ld @ X0 @ (mult @ X1 @ X1)) @ X2))
% 31.31/5.07 = (mult @ X1 @ (mult @ X1 @ X2)))),
% 31.31/5.07 inference('demod', [status(thm)],
% 31.31/5.07 [zip_derived_cl13441, zip_derived_cl0, zip_derived_cl4700])).
% 31.31/5.07 thf(zip_derived_cl0, plain,
% 31.31/5.07 (![X0 : $i, X1 : $i]: ((mult @ X1 @ (ld @ X1 @ X0)) = (X0))),
% 31.31/5.07 inference('cnf', [status(esa)], [c01])).
% 31.31/5.07 thf(zip_derived_cl57, plain,
% 31.31/5.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 31.31/5.07 ((mult @ X0 @ (mult @ X0 @ (mult @ X1 @ X2)))
% 31.31/5.07 = (mult @ (mult @ X0 @ (mult @ X0 @ X1)) @ X2))),
% 31.31/5.07 inference('demod', [status(thm)], [zip_derived_cl6, zip_derived_cl44])).
% 31.31/5.07 thf(zip_derived_cl98, plain,
% 31.31/5.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 31.31/5.07 ((mult @ X2 @ (mult @ X2 @ (mult @ (ld @ X2 @ X0) @ X1)))
% 31.31/5.07 = (mult @ (mult @ X2 @ X0) @ X1))),
% 31.31/5.07 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl57])).
% 31.31/5.07 thf(zip_derived_cl15073, plain,
% 31.31/5.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 31.31/5.07 ((mult @ X2 @ (mult @ X1 @ (mult @ X1 @ X0)))
% 31.31/5.07 = (mult @ (mult @ X2 @ (mult @ X1 @ X1)) @ X0))),
% 31.31/5.07 inference('sup+', [status(thm)], [zip_derived_cl13499, zip_derived_cl98])).
% 31.31/5.07 thf(zip_derived_cl15255, plain,
% 31.31/5.07 (((mult @ a @ (mult @ b @ (mult @ b @ c)))
% 31.31/5.07 != (mult @ a @ (mult @ b @ (mult @ b @ c))))),
% 31.31/5.07 inference('demod', [status(thm)], [zip_derived_cl7, zip_derived_cl15073])).
% 31.31/5.07 thf(zip_derived_cl15256, plain, ($false),
% 31.31/5.07 inference('simplify', [status(thm)], [zip_derived_cl15255])).
% 31.31/5.07
% 31.31/5.07 % SZS output end Refutation
% 31.31/5.07
% 31.31/5.07
% 31.31/5.07 % Terminating...
% 31.82/5.17 % Runner terminated.
% 31.82/5.18 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------