TSTP Solution File: GRP697-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP697-1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.yqVILLSYa8 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 01:52:58 EDT 2023
% Result : Unsatisfiable 33.80s 5.43s
% Output : Refutation 33.80s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP697-1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.yqVILLSYa8 true
% 0.12/0.34 % Computer : n003.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 28 22:33:55 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running portfolio for 300 s
% 0.12/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34 % Number of cores: 8
% 0.12/0.34 % Python version: Python 3.6.8
% 0.12/0.34 % Running in FO mode
% 0.52/0.66 % Total configuration time : 435
% 0.52/0.66 % Estimated wc time : 1092
% 0.52/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.52/0.68 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.52/0.68 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.52/0.71 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.53/0.73 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.53/0.73 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.53/0.74 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.53/0.74 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 33.80/5.43 % Solved by fo/fo6_bce.sh.
% 33.80/5.43 % BCE start: 12
% 33.80/5.43 % BCE eliminated: 0
% 33.80/5.43 % PE start: 12
% 33.80/5.43 logic: eq
% 33.80/5.43 % PE eliminated: 0
% 33.80/5.43 % done 378 iterations in 4.717s
% 33.80/5.43 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 33.80/5.43 % SZS output start Refutation
% 33.80/5.43 thf(c_type, type, c: $i).
% 33.80/5.43 thf(a_type, type, a: $i).
% 33.80/5.43 thf(ld_type, type, ld: $i > $i > $i).
% 33.80/5.43 thf(rd_type, type, rd: $i > $i > $i).
% 33.80/5.43 thf(b_type, type, b: $i).
% 33.80/5.43 thf(mult_type, type, mult: $i > $i > $i).
% 33.80/5.43 thf(i_type, type, i: $i > $i).
% 33.80/5.43 thf(unit_type, type, unit: $i).
% 33.80/5.43 thf(goals, conjecture,
% 33.80/5.43 (( mult @ ( mult @ a @ b ) @ ( mult @ b @ ( mult @ c @ b ) ) ) =
% 33.80/5.43 ( mult @ ( mult @ a @ ( mult @ b @ ( mult @ b @ c ) ) ) @ b ))).
% 33.80/5.43 thf(zf_stmt_0, negated_conjecture,
% 33.80/5.43 (( mult @ ( mult @ a @ b ) @ ( mult @ b @ ( mult @ c @ b ) ) ) !=
% 33.80/5.43 ( mult @ ( mult @ a @ ( mult @ b @ ( mult @ b @ c ) ) ) @ b )),
% 33.80/5.43 inference('cnf.neg', [status(esa)], [goals])).
% 33.80/5.43 thf(zip_derived_cl11, plain,
% 33.80/5.43 (((mult @ (mult @ a @ b) @ (mult @ b @ (mult @ c @ b)))
% 33.80/5.43 != (mult @ (mult @ a @ (mult @ b @ (mult @ b @ c))) @ b))),
% 33.80/5.43 inference('cnf', [status(esa)], [zf_stmt_0])).
% 33.80/5.43 thf(c08, axiom,
% 33.80/5.43 (( mult @ A @ ( mult @ B @ C ) ) =
% 33.80/5.43 ( mult @ ( rd @ ( mult @ A @ B ) @ A ) @ ( mult @ A @ C ) ))).
% 33.80/5.43 thf(zip_derived_cl7, plain,
% 33.80/5.43 (![X0 : $i, X1 : $i, X2 : $i]:
% 33.80/5.43 ((mult @ X0 @ (mult @ X1 @ X2))
% 33.80/5.43 = (mult @ (rd @ (mult @ X0 @ X1) @ X0) @ (mult @ X0 @ X2)))),
% 33.80/5.43 inference('cnf', [status(esa)], [c08])).
% 33.80/5.43 thf(c04, axiom, (( rd @ ( mult @ A @ B ) @ B ) = ( A ))).
% 33.80/5.43 thf(zip_derived_cl3, plain,
% 33.80/5.43 (![X0 : $i, X1 : $i]: ((rd @ (mult @ X0 @ X1) @ X1) = (X0))),
% 33.80/5.43 inference('cnf', [status(esa)], [c04])).
% 33.80/5.43 thf(c01, axiom, (( mult @ A @ ( ld @ A @ B ) ) = ( B ))).
% 33.80/5.43 thf(zip_derived_cl0, plain,
% 33.80/5.43 (![X0 : $i, X1 : $i]: ((mult @ X1 @ (ld @ X1 @ X0)) = (X0))),
% 33.80/5.43 inference('cnf', [status(esa)], [c01])).
% 33.80/5.43 thf(zip_derived_cl7, plain,
% 33.80/5.43 (![X0 : $i, X1 : $i, X2 : $i]:
% 33.80/5.43 ((mult @ X0 @ (mult @ X1 @ X2))
% 33.80/5.43 = (mult @ (rd @ (mult @ X0 @ X1) @ X0) @ (mult @ X0 @ X2)))),
% 33.80/5.43 inference('cnf', [status(esa)], [c08])).
% 33.80/5.43 thf(zip_derived_cl67, plain,
% 33.80/5.43 (![X0 : $i, X1 : $i, X2 : $i]:
% 33.80/5.43 ((mult @ X2 @ (mult @ (ld @ X2 @ X0) @ X1))
% 33.80/5.43 = (mult @ (rd @ X0 @ X2) @ (mult @ X2 @ X1)))),
% 33.80/5.43 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl7])).
% 33.80/5.43 thf(zip_derived_cl1733, plain,
% 33.80/5.43 (![X0 : $i, X1 : $i, X2 : $i]:
% 33.80/5.43 ((mult @ X2 @ (mult @ (ld @ X2 @ (mult @ X0 @ X2)) @ X1))
% 33.80/5.43 = (mult @ X0 @ (mult @ X2 @ X1)))),
% 33.80/5.43 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl67])).
% 33.80/5.43 thf(c10, axiom, (( mult @ ( i @ A ) @ A ) = ( unit ))).
% 33.80/5.43 thf(zip_derived_cl9, plain, (![X0 : $i]: ((mult @ (i @ X0) @ X0) = (unit))),
% 33.80/5.43 inference('cnf', [status(esa)], [c10])).
% 33.80/5.43 thf(c07, axiom, (( mult @ A @ ( i @ ( mult @ B @ A ) ) ) = ( i @ B ))).
% 33.80/5.43 thf(zip_derived_cl6, plain,
% 33.80/5.43 (![X0 : $i, X1 : $i]: ((mult @ X1 @ (i @ (mult @ X0 @ X1))) = (i @ X0))),
% 33.80/5.43 inference('cnf', [status(esa)], [c07])).
% 33.80/5.43 thf(zip_derived_cl45, plain,
% 33.80/5.43 (![X0 : $i]: ((mult @ X0 @ (i @ unit)) = (i @ (i @ X0)))),
% 33.80/5.43 inference('s_sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl6])).
% 33.80/5.43 thf(zip_derived_cl9, plain, (![X0 : $i]: ((mult @ (i @ X0) @ X0) = (unit))),
% 33.80/5.43 inference('cnf', [status(esa)], [c10])).
% 33.80/5.43 thf(c05, axiom, (( mult @ A @ unit ) = ( A ))).
% 33.80/5.43 thf(zip_derived_cl4, plain, (![X0 : $i]: ((mult @ X0 @ unit) = (X0))),
% 33.80/5.43 inference('cnf', [status(esa)], [c05])).
% 33.80/5.43 thf(zip_derived_cl14, plain, (((unit) = (i @ unit))),
% 33.80/5.43 inference('s_sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl4])).
% 33.80/5.43 thf(zip_derived_cl4, plain, (![X0 : $i]: ((mult @ X0 @ unit) = (X0))),
% 33.80/5.43 inference('cnf', [status(esa)], [c05])).
% 33.80/5.43 thf(zip_derived_cl48, plain, (![X0 : $i]: ((X0) = (i @ (i @ X0)))),
% 33.80/5.43 inference('demod', [status(thm)],
% 33.80/5.43 [zip_derived_cl45, zip_derived_cl14, zip_derived_cl4])).
% 33.80/5.43 thf(zip_derived_cl6, plain,
% 33.80/5.43 (![X0 : $i, X1 : $i]: ((mult @ X1 @ (i @ (mult @ X0 @ X1))) = (i @ X0))),
% 33.80/5.43 inference('cnf', [status(esa)], [c07])).
% 33.80/5.43 thf(c02, axiom, (( ld @ A @ ( mult @ A @ B ) ) = ( B ))).
% 33.80/5.43 thf(zip_derived_cl1, plain,
% 33.80/5.43 (![X0 : $i, X1 : $i]: ((ld @ X1 @ (mult @ X1 @ X0)) = (X0))),
% 33.80/5.43 inference('cnf', [status(esa)], [c02])).
% 33.80/5.43 thf(zip_derived_cl35, plain,
% 33.80/5.43 (![X0 : $i, X1 : $i]: ((ld @ X1 @ (i @ X0)) = (i @ (mult @ X0 @ X1)))),
% 33.80/5.43 inference('s_sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl1])).
% 33.80/5.43 thf(zip_derived_cl156, plain,
% 33.80/5.43 (![X0 : $i, X1 : $i]: ((ld @ X1 @ X0) = (i @ (mult @ (i @ X0) @ X1)))),
% 33.80/5.43 inference('s_sup+', [status(thm)], [zip_derived_cl48, zip_derived_cl35])).
% 33.80/5.43 thf(c11, axiom, (( mult @ A @ ( i @ A ) ) = ( unit ))).
% 33.80/5.43 thf(zip_derived_cl10, plain, (![X0 : $i]: ((mult @ X0 @ (i @ X0)) = (unit))),
% 33.80/5.43 inference('cnf', [status(esa)], [c11])).
% 33.80/5.43 thf(zip_derived_cl1733, plain,
% 33.80/5.43 (![X0 : $i, X1 : $i, X2 : $i]:
% 33.80/5.43 ((mult @ X2 @ (mult @ (ld @ X2 @ (mult @ X0 @ X2)) @ X1))
% 33.80/5.43 = (mult @ X0 @ (mult @ X2 @ X1)))),
% 33.80/5.43 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl67])).
% 33.80/5.43 thf(zip_derived_cl1937, plain,
% 33.80/5.43 (![X0 : $i, X1 : $i]:
% 33.80/5.43 ((mult @ X0 @ unit)
% 33.80/5.43 = (mult @ X1 @ (mult @ X0 @ (i @ (ld @ X0 @ (mult @ X1 @ X0))))))),
% 33.80/5.43 inference('s_sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl1733])).
% 33.80/5.43 thf(zip_derived_cl4, plain, (![X0 : $i]: ((mult @ X0 @ unit) = (X0))),
% 33.80/5.43 inference('cnf', [status(esa)], [c05])).
% 33.80/5.43 thf(zip_derived_cl0, plain,
% 33.80/5.43 (![X0 : $i, X1 : $i]: ((mult @ X1 @ (ld @ X1 @ X0)) = (X0))),
% 33.80/5.43 inference('cnf', [status(esa)], [c01])).
% 33.80/5.43 thf(zip_derived_cl6, plain,
% 33.80/5.43 (![X0 : $i, X1 : $i]: ((mult @ X1 @ (i @ (mult @ X0 @ X1))) = (i @ X0))),
% 33.80/5.43 inference('cnf', [status(esa)], [c07])).
% 33.80/5.43 thf(zip_derived_cl6, plain,
% 33.80/5.43 (![X0 : $i, X1 : $i]: ((mult @ X1 @ (i @ (mult @ X0 @ X1))) = (i @ X0))),
% 33.80/5.43 inference('cnf', [status(esa)], [c07])).
% 33.80/5.43 thf(zip_derived_cl37, plain,
% 33.80/5.43 (![X0 : $i, X1 : $i]:
% 33.80/5.43 ((mult @ (i @ (mult @ X0 @ X1)) @ (i @ (i @ X0))) = (i @ X1))),
% 33.80/5.43 inference('s_sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl6])).
% 33.80/5.43 thf(zip_derived_cl48, plain, (![X0 : $i]: ((X0) = (i @ (i @ X0)))),
% 33.80/5.43 inference('demod', [status(thm)],
% 33.80/5.43 [zip_derived_cl45, zip_derived_cl14, zip_derived_cl4])).
% 33.80/5.43 thf(zip_derived_cl209, plain,
% 33.80/5.43 (![X0 : $i, X1 : $i]: ((mult @ (i @ (mult @ X0 @ X1)) @ X0) = (i @ X1))),
% 33.80/5.43 inference('demod', [status(thm)], [zip_derived_cl37, zip_derived_cl48])).
% 33.80/5.43 thf(zip_derived_cl221, plain,
% 33.80/5.43 (![X0 : $i, X1 : $i]: ((mult @ (i @ X0) @ X1) = (i @ (ld @ X1 @ X0)))),
% 33.80/5.43 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl209])).
% 33.80/5.43 thf(zip_derived_cl1970, plain,
% 33.80/5.43 (![X0 : $i, X1 : $i]:
% 33.80/5.43 ((X0)
% 33.80/5.43 = (mult @ X1 @ (mult @ X0 @ (mult @ (i @ (mult @ X1 @ X0)) @ X0))))),
% 33.80/5.43 inference('demod', [status(thm)],
% 33.80/5.43 [zip_derived_cl1937, zip_derived_cl4, zip_derived_cl221])).
% 33.80/5.43 thf(zip_derived_cl2332, plain,
% 33.80/5.43 (![X0 : $i, X1 : $i]:
% 33.80/5.43 ((X1) = (mult @ (i @ X0) @ (mult @ X1 @ (mult @ (ld @ X1 @ X0) @ X1))))),
% 33.80/5.43 inference('s_sup+', [status(thm)],
% 33.80/5.43 [zip_derived_cl156, zip_derived_cl1970])).
% 33.80/5.43 thf(zip_derived_cl4761, plain,
% 33.80/5.43 (![X0 : $i, X1 : $i]:
% 33.80/5.43 ((X0)
% 33.80/5.43 = (mult @ (i @ (mult @ X1 @ X0)) @ (mult @ X1 @ (mult @ X0 @ X0))))),
% 33.80/5.43 inference('s_sup+', [status(thm)],
% 33.80/5.43 [zip_derived_cl1733, zip_derived_cl2332])).
% 33.80/5.43 thf(zip_derived_cl6, plain,
% 33.80/5.43 (![X0 : $i, X1 : $i]: ((mult @ X1 @ (i @ (mult @ X0 @ X1))) = (i @ X0))),
% 33.80/5.43 inference('cnf', [status(esa)], [c07])).
% 33.80/5.43 thf(zip_derived_cl4848, plain,
% 33.80/5.43 (![X0 : $i, X1 : $i]:
% 33.80/5.43 ((mult @ (mult @ X1 @ (mult @ X0 @ X0)) @ (i @ X0))
% 33.80/5.43 = (i @ (i @ (mult @ X1 @ X0))))),
% 33.80/5.43 inference('s_sup+', [status(thm)], [zip_derived_cl4761, zip_derived_cl6])).
% 33.80/5.43 thf(zip_derived_cl48, plain, (![X0 : $i]: ((X0) = (i @ (i @ X0)))),
% 33.80/5.43 inference('demod', [status(thm)],
% 33.80/5.43 [zip_derived_cl45, zip_derived_cl14, zip_derived_cl4])).
% 33.80/5.43 thf(zip_derived_cl5003, plain,
% 33.80/5.43 (![X0 : $i, X1 : $i]:
% 33.80/5.43 ((mult @ (mult @ X1 @ (mult @ X0 @ X0)) @ (i @ X0)) = (mult @ X1 @ X0))),
% 33.80/5.43 inference('demod', [status(thm)], [zip_derived_cl4848, zip_derived_cl48])).
% 33.80/5.43 thf(zip_derived_cl5531, plain,
% 33.80/5.43 (![X0 : $i, X1 : $i]:
% 33.80/5.43 ((mult @ (mult @ X0 @ (mult @ X1 @ X0)) @ (i @ X0))
% 33.80/5.43 = (mult @ (rd @ (mult @ X0 @ X1) @ X0) @ X0))),
% 33.80/5.43 inference('s_sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl5003])).
% 33.80/5.43 thf(zip_derived_cl0, plain,
% 33.80/5.43 (![X0 : $i, X1 : $i]: ((mult @ X1 @ (ld @ X1 @ X0)) = (X0))),
% 33.80/5.43 inference('cnf', [status(esa)], [c01])).
% 33.80/5.43 thf(zip_derived_cl7, plain,
% 33.80/5.43 (![X0 : $i, X1 : $i, X2 : $i]:
% 33.80/5.43 ((mult @ X0 @ (mult @ X1 @ X2))
% 33.80/5.43 = (mult @ (rd @ (mult @ X0 @ X1) @ X0) @ (mult @ X0 @ X2)))),
% 33.80/5.43 inference('cnf', [status(esa)], [c08])).
% 33.80/5.43 thf(zip_derived_cl57, plain,
% 33.80/5.43 (![X0 : $i, X1 : $i, X2 : $i]:
% 33.80/5.43 ((mult @ X1 @ (mult @ X2 @ (ld @ X1 @ X0)))
% 33.80/5.43 = (mult @ (rd @ (mult @ X1 @ X2) @ X1) @ X0))),
% 33.80/5.43 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl7])).
% 33.80/5.43 thf(zip_derived_cl4, plain, (![X0 : $i]: ((mult @ X0 @ unit) = (X0))),
% 33.80/5.43 inference('cnf', [status(esa)], [c05])).
% 33.80/5.43 thf(zip_derived_cl1, plain,
% 33.80/5.43 (![X0 : $i, X1 : $i]: ((ld @ X1 @ (mult @ X1 @ X0)) = (X0))),
% 33.80/5.43 inference('cnf', [status(esa)], [c02])).
% 33.80/5.43 thf(zip_derived_cl19, plain, (![X0 : $i]: ((ld @ X0 @ X0) = (unit))),
% 33.80/5.43 inference('s_sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl1])).
% 33.80/5.43 thf(zip_derived_cl4, plain, (![X0 : $i]: ((mult @ X0 @ unit) = (X0))),
% 33.80/5.43 inference('cnf', [status(esa)], [c05])).
% 33.80/5.43 thf(zip_derived_cl5554, plain,
% 33.80/5.43 (![X0 : $i, X1 : $i]:
% 33.80/5.43 ((mult @ (mult @ X0 @ (mult @ X1 @ X0)) @ (i @ X0)) = (mult @ X0 @ X1))),
% 33.80/5.43 inference('demod', [status(thm)],
% 33.80/5.43 [zip_derived_cl5531, zip_derived_cl57, zip_derived_cl19,
% 33.80/5.43 zip_derived_cl4])).
% 33.80/5.43 thf(zip_derived_cl10, plain, (![X0 : $i]: ((mult @ X0 @ (i @ X0)) = (unit))),
% 33.80/5.43 inference('cnf', [status(esa)], [c11])).
% 33.80/5.43 thf(zip_derived_cl7, plain,
% 33.80/5.43 (![X0 : $i, X1 : $i, X2 : $i]:
% 33.80/5.43 ((mult @ X0 @ (mult @ X1 @ X2))
% 33.80/5.43 = (mult @ (rd @ (mult @ X0 @ X1) @ X0) @ (mult @ X0 @ X2)))),
% 33.80/5.43 inference('cnf', [status(esa)], [c08])).
% 33.80/5.43 thf(zip_derived_cl3, plain,
% 33.80/5.43 (![X0 : $i, X1 : $i]: ((rd @ (mult @ X0 @ X1) @ X1) = (X0))),
% 33.80/5.43 inference('cnf', [status(esa)], [c04])).
% 33.80/5.43 thf(zip_derived_cl53, plain,
% 33.80/5.43 (![X0 : $i, X1 : $i, X2 : $i]:
% 33.80/5.43 ((rd @ (mult @ X2 @ (mult @ X1 @ X0)) @ (mult @ X2 @ X0))
% 33.80/5.43 = (rd @ (mult @ X2 @ X1) @ X2))),
% 33.80/5.43 inference('s_sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl3])).
% 33.80/5.43 thf(zip_derived_cl435, plain,
% 33.80/5.43 (![X0 : $i, X1 : $i]:
% 33.80/5.43 ((rd @ (mult @ X0 @ (mult @ X1 @ (i @ X0))) @ unit)
% 33.80/5.43 = (rd @ (mult @ X0 @ X1) @ X0))),
% 33.80/5.43 inference('s_sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl53])).
% 33.80/5.43 thf(zip_derived_cl4, plain, (![X0 : $i]: ((mult @ X0 @ unit) = (X0))),
% 33.80/5.43 inference('cnf', [status(esa)], [c05])).
% 33.80/5.43 thf(c03, axiom, (( mult @ ( rd @ A @ B ) @ B ) = ( A ))).
% 33.80/5.43 thf(zip_derived_cl2, plain,
% 33.80/5.43 (![X0 : $i, X1 : $i]: ((mult @ (rd @ X0 @ X1) @ X1) = (X0))),
% 33.80/5.43 inference('cnf', [status(esa)], [c03])).
% 33.80/5.43 thf(zip_derived_cl26, plain, (![X0 : $i]: ((rd @ X0 @ unit) = (X0))),
% 33.80/5.43 inference('s_sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl2])).
% 33.80/5.43 thf(zip_derived_cl471, plain,
% 33.80/5.43 (![X0 : $i, X1 : $i]:
% 33.80/5.43 ((mult @ X0 @ (mult @ X1 @ (i @ X0))) = (rd @ (mult @ X0 @ X1) @ X0))),
% 33.80/5.43 inference('demod', [status(thm)], [zip_derived_cl435, zip_derived_cl26])).
% 33.80/5.43 thf(zip_derived_cl2, plain,
% 33.80/5.43 (![X0 : $i, X1 : $i]: ((mult @ (rd @ X0 @ X1) @ X1) = (X0))),
% 33.80/5.43 inference('cnf', [status(esa)], [c03])).
% 33.80/5.43 thf(c09, axiom,
% 33.80/5.43 (( mult @ ( mult @ A @ B ) @ C ) =
% 33.80/5.43 ( mult @ ( mult @ A @ C ) @ ( ld @ C @ ( mult @ B @ C ) ) ))).
% 33.80/5.43 thf(zip_derived_cl8, plain,
% 33.80/5.43 (![X0 : $i, X1 : $i, X2 : $i]:
% 33.80/5.43 ((mult @ (mult @ X0 @ X2) @ X1)
% 33.80/5.43 = (mult @ (mult @ X0 @ X1) @ (ld @ X1 @ (mult @ X2 @ X1))))),
% 33.80/5.43 inference('cnf', [status(esa)], [c09])).
% 33.80/5.43 thf(zip_derived_cl95, plain,
% 33.80/5.43 (![X0 : $i, X1 : $i, X2 : $i]:
% 33.80/5.43 ((mult @ (mult @ X2 @ (rd @ X0 @ X1)) @ X1)
% 33.80/5.43 = (mult @ (mult @ X2 @ X1) @ (ld @ X1 @ X0)))),
% 33.80/5.43 inference('s_sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl8])).
% 33.80/5.43 thf(zip_derived_cl22395, plain,
% 33.80/5.43 (![X0 : $i, X1 : $i, X2 : $i]:
% 33.80/5.43 ((mult @ (mult @ X2 @ (mult @ X0 @ (mult @ X1 @ (i @ X0)))) @ X0)
% 33.80/5.43 = (mult @ (mult @ X2 @ X0) @ (ld @ X0 @ (mult @ X0 @ X1))))),
% 33.80/5.43 inference('s_sup+', [status(thm)], [zip_derived_cl471, zip_derived_cl95])).
% 33.80/5.43 thf(zip_derived_cl1, plain,
% 33.80/5.43 (![X0 : $i, X1 : $i]: ((ld @ X1 @ (mult @ X1 @ X0)) = (X0))),
% 33.80/5.43 inference('cnf', [status(esa)], [c02])).
% 33.80/5.43 thf(zip_derived_cl22547, plain,
% 33.80/5.43 (![X0 : $i, X1 : $i, X2 : $i]:
% 33.80/5.43 ((mult @ (mult @ X2 @ (mult @ X0 @ (mult @ X1 @ (i @ X0)))) @ X0)
% 33.80/5.43 = (mult @ (mult @ X2 @ X0) @ X1))),
% 33.80/5.43 inference('demod', [status(thm)], [zip_derived_cl22395, zip_derived_cl1])).
% 33.80/5.43 thf(zip_derived_cl23036, plain,
% 33.80/5.43 (![X0 : $i, X1 : $i, X2 : $i]:
% 33.80/5.43 ((mult @ (mult @ X2 @ (mult @ X1 @ (mult @ X1 @ X0))) @ X1)
% 33.80/5.43 = (mult @ (mult @ X2 @ X1) @ (mult @ X1 @ (mult @ X0 @ X1))))),
% 33.80/5.43 inference('s_sup+', [status(thm)],
% 33.80/5.43 [zip_derived_cl5554, zip_derived_cl22547])).
% 33.80/5.43 thf(zip_derived_cl24433, plain,
% 33.80/5.43 (((mult @ (mult @ a @ b) @ (mult @ b @ (mult @ c @ b)))
% 33.80/5.43 != (mult @ (mult @ a @ b) @ (mult @ b @ (mult @ c @ b))))),
% 33.80/5.43 inference('demod', [status(thm)], [zip_derived_cl11, zip_derived_cl23036])).
% 33.80/5.43 thf(zip_derived_cl24434, plain, ($false),
% 33.80/5.43 inference('simplify', [status(thm)], [zip_derived_cl24433])).
% 33.80/5.43
% 33.80/5.43 % SZS output end Refutation
% 33.80/5.43
% 33.80/5.43
% 33.80/5.43 % Terminating...
% 33.80/5.47 % Runner terminated.
% 33.80/5.48 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------