%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM283-1.005 : TPTP v8.1.2. Released v1.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.bnpW4udOFE true
% Computer : n005.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 12:39:45 EDT 2023
% Result : Unsatisfiable 51.35s 7.98s
% Output : Refutation 51.35s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.13 % Problem : NUM283-1.005 : TPTP v8.1.2. Released v1.0.0.
% 0.10/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.bnpW4udOFE true
% 0.15/0.35 % Computer : n005.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 : Fri Aug 25 14:17:39 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % Running portfolio for 300 s
% 0.15/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.35 % Number of cores: 8
% 0.15/0.35 % Python version: Python 3.6.8
% 0.15/0.36 % Running in FO mode
% 0.22/0.67 % Total configuration time : 435
% 0.22/0.67 % Estimated wc time : 1092
% 0.22/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.69/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.69/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.69/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.69/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 51.35/7.98 % Solved by fo/fo5.sh.
% 51.35/7.98 % done 1215 iterations in 7.178s
% 51.35/7.98 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 51.35/7.98 % SZS output start Refutation
% 51.35/7.98 thf(sum_type, type, sum: $i > $i > $i > $o).
% 51.35/7.98 thf(n0_type, type, n0: $i).
% 51.35/7.98 thf(factorial_type, type, factorial: $i > $i > $o).
% 51.35/7.98 thf(product_type, type, product: $i > $i > $i > $o).
% 51.35/7.98 thf(s_type, type, s: $i > $i).
% 51.35/7.98 thf(times1, axiom, (product @ ( s @ n0 ) @ X @ X)).
% 51.35/7.98 thf(zip_derived_cl2, plain, (![X0 : $i]: (product @ (s @ n0) @ X0 @ X0)),
% 51.35/7.98 inference('cnf', [status(esa)], [times1])).
% 51.35/7.98 thf(add_0, axiom, (sum @ X @ n0 @ X)).
% 51.35/7.98 thf(zip_derived_cl0, plain, (![X0 : $i]: (sum @ X0 @ n0 @ X0)),
% 51.35/7.98 inference('cnf', [status(esa)], [add_0])).
% 51.35/7.98 thf(add, axiom,
% 51.35/7.98 (( ~( sum @ X @ Y @ Z ) ) | ( sum @ X @ ( s @ Y ) @ ( s @ Z ) ))).
% 51.35/7.98 thf(zip_derived_cl1, plain,
% 51.35/7.98 (![X0 : $i, X1 : $i, X2 : $i]:
% 51.35/7.98 (~ (sum @ X0 @ X1 @ X2) | (sum @ X0 @ (s @ X1) @ (s @ X2)))),
% 51.35/7.98 inference('cnf', [status(esa)], [add])).
% 51.35/7.98 thf(zip_derived_cl7, plain, (![X0 : $i]: (sum @ X0 @ (s @ n0) @ (s @ X0))),
% 51.35/7.98 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl1])).
% 51.35/7.98 thf(zip_derived_cl1, plain,
% 51.35/7.98 (![X0 : $i, X1 : $i, X2 : $i]:
% 51.35/7.98 (~ (sum @ X0 @ X1 @ X2) | (sum @ X0 @ (s @ X1) @ (s @ X2)))),
% 51.35/7.98 inference('cnf', [status(esa)], [add])).
% 51.35/7.98 thf(zip_derived_cl9, plain,
% 51.35/7.98 (![X0 : $i]: (sum @ X0 @ (s @ (s @ n0)) @ (s @ (s @ X0)))),
% 51.35/7.98 inference('sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl1])).
% 51.35/7.98 thf(zip_derived_cl1, plain,
% 51.35/7.98 (![X0 : $i, X1 : $i, X2 : $i]:
% 51.35/7.98 (~ (sum @ X0 @ X1 @ X2) | (sum @ X0 @ (s @ X1) @ (s @ X2)))),
% 51.35/7.98 inference('cnf', [status(esa)], [add])).
% 51.35/7.98 thf(zip_derived_cl10, plain,
% 51.35/7.98 (![X0 : $i]: (sum @ X0 @ (s @ (s @ (s @ n0))) @ (s @ (s @ (s @ X0))))),
% 51.35/7.98 inference('sup-', [status(thm)], [zip_derived_cl9, zip_derived_cl1])).
% 51.35/7.98 thf(zip_derived_cl1, plain,
% 51.35/7.98 (![X0 : $i, X1 : $i, X2 : $i]:
% 51.35/7.98 (~ (sum @ X0 @ X1 @ X2) | (sum @ X0 @ (s @ X1) @ (s @ X2)))),
% 51.35/7.98 inference('cnf', [status(esa)], [add])).
% 51.35/7.98 thf(zip_derived_cl11, plain,
% 51.35/7.98 (![X0 : $i]:
% 51.35/7.98 (sum @ X0 @ (s @ (s @ (s @ (s @ n0)))) @ (s @ (s @ (s @ (s @ X0)))))),
% 51.35/7.98 inference('sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl1])).
% 51.35/7.98 thf(zip_derived_cl1, plain,
% 51.35/7.98 (![X0 : $i, X1 : $i, X2 : $i]:
% 51.35/7.98 (~ (sum @ X0 @ X1 @ X2) | (sum @ X0 @ (s @ X1) @ (s @ X2)))),
% 51.35/7.98 inference('cnf', [status(esa)], [add])).
% 51.35/7.98 thf(zip_derived_cl38, plain,
% 51.35/7.98 (![X0 : $i]:
% 51.35/7.98 (sum @ X0 @ (s @ (s @ (s @ (s @ (s @ n0))))) @
% 51.35/7.98 (s @ (s @ (s @ (s @ (s @ X0))))))),
% 51.35/7.98 inference('sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl1])).
% 51.35/7.98 thf(zip_derived_cl1, plain,
% 51.35/7.98 (![X0 : $i, X1 : $i, X2 : $i]:
% 51.35/7.98 (~ (sum @ X0 @ X1 @ X2) | (sum @ X0 @ (s @ X1) @ (s @ X2)))),
% 51.35/7.98 inference('cnf', [status(esa)], [add])).
% 51.35/7.98 thf(zip_derived_cl54, plain,
% 51.35/7.98 (![X0 : $i]:
% 51.35/7.98 (sum @ X0 @ (s @ (s @ (s @ (s @ (s @ (s @ n0)))))) @
% 51.35/7.98 (s @ (s @ (s @ (s @ (s @ (s @ X0)))))))),
% 51.35/7.98 inference('sup-', [status(thm)], [zip_derived_cl38, zip_derived_cl1])).
% 51.35/7.98 thf(zip_derived_cl1, plain,
% 51.35/7.98 (![X0 : $i, X1 : $i, X2 : $i]:
% 51.35/7.98 (~ (sum @ X0 @ X1 @ X2) | (sum @ X0 @ (s @ X1) @ (s @ X2)))),
% 51.35/7.98 inference('cnf', [status(esa)], [add])).
% 51.35/7.98 thf(zip_derived_cl60, plain,
% 51.35/7.98 (![X0 : $i]:
% 51.35/7.98 (sum @ X0 @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ n0))))))) @
% 51.35/7.98 (s @ (s @ (s @ (s @ (s @ (s @ (s @ X0))))))))),
% 51.35/7.98 inference('sup-', [status(thm)], [zip_derived_cl54, zip_derived_cl1])).
% 51.35/7.98 thf(zip_derived_cl1, plain,
% 51.35/7.98 (![X0 : $i, X1 : $i, X2 : $i]:
% 51.35/7.98 (~ (sum @ X0 @ X1 @ X2) | (sum @ X0 @ (s @ X1) @ (s @ X2)))),
% 51.35/7.98 inference('cnf', [status(esa)], [add])).
% 51.35/7.98 thf(zip_derived_cl78, plain,
% 51.35/7.98 (![X0 : $i]:
% 51.35/7.98 (sum @ X0 @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ n0)))))))) @
% 51.35/7.98 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ X0)))))))))),
% 51.35/7.98 inference('sup-', [status(thm)], [zip_derived_cl60, zip_derived_cl1])).
% 51.35/7.98 thf(zip_derived_cl1, plain,
% 51.35/7.98 (![X0 : $i, X1 : $i, X2 : $i]:
% 51.35/7.98 (~ (sum @ X0 @ X1 @ X2) | (sum @ X0 @ (s @ X1) @ (s @ X2)))),
% 51.35/7.98 inference('cnf', [status(esa)], [add])).
% 51.35/7.98 thf(zip_derived_cl98, plain,
% 51.35/7.98 (![X0 : $i]:
% 51.35/7.98 (sum @ X0 @
% 51.35/7.98 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ n0))))))))) @
% 51.35/7.98 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ X0))))))))))),
% 51.35/7.98 inference('sup-', [status(thm)], [zip_derived_cl78, zip_derived_cl1])).
% 51.35/7.98 thf(zip_derived_cl1, plain,
% 51.35/7.98 (![X0 : $i, X1 : $i, X2 : $i]:
% 51.35/7.98 (~ (sum @ X0 @ X1 @ X2) | (sum @ X0 @ (s @ X1) @ (s @ X2)))),
% 51.35/7.98 inference('cnf', [status(esa)], [add])).
% 51.35/7.98 thf(zip_derived_cl102, plain,
% 51.35/7.98 (![X0 : $i]:
% 51.35/7.98 (sum @ X0 @
% 51.35/7.98 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ n0)))))))))) @
% 51.35/7.98 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ X0)))))))))))),
% 51.35/7.98 inference('sup-', [status(thm)], [zip_derived_cl98, zip_derived_cl1])).
% 51.35/7.98 thf(zip_derived_cl1, plain,
% 51.35/7.98 (![X0 : $i, X1 : $i, X2 : $i]:
% 51.35/7.98 (~ (sum @ X0 @ X1 @ X2) | (sum @ X0 @ (s @ X1) @ (s @ X2)))),
% 51.35/7.98 inference('cnf', [status(esa)], [add])).
% 51.35/7.98 thf(zip_derived_cl119, plain,
% 51.35/7.98 (![X0 : $i]:
% 51.35/7.98 (sum @ X0 @
% 51.35/7.98 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ n0))))))))))) @
% 51.35/7.98 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ X0))))))))))))),
% 51.35/7.98 inference('sup-', [status(thm)], [zip_derived_cl102, zip_derived_cl1])).
% 51.35/7.98 thf(zip_derived_cl1, plain,
% 51.35/7.98 (![X0 : $i, X1 : $i, X2 : $i]:
% 51.35/7.98 (~ (sum @ X0 @ X1 @ X2) | (sum @ X0 @ (s @ X1) @ (s @ X2)))),
% 51.35/7.98 inference('cnf', [status(esa)], [add])).
% 51.35/7.98 thf(zip_derived_cl141, plain,
% 51.35/7.98 (![X0 : $i]:
% 51.35/7.98 (sum @ X0 @
% 51.35/7.98 (s @
% 51.35/7.98 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ n0)))))))))))) @
% 51.35/7.98 (s @
% 51.35/7.98 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ X0)))))))))))))),
% 51.35/7.98 inference('sup-', [status(thm)], [zip_derived_cl119, zip_derived_cl1])).
% 51.35/7.98 thf(zip_derived_cl1, plain,
% 51.35/7.98 (![X0 : $i, X1 : $i, X2 : $i]:
% 51.35/7.98 (~ (sum @ X0 @ X1 @ X2) | (sum @ X0 @ (s @ X1) @ (s @ X2)))),
% 51.35/7.98 inference('cnf', [status(esa)], [add])).
% 51.35/7.98 thf(zip_derived_cl161, plain,
% 51.35/7.98 (![X0 : $i]:
% 51.35/7.98 (sum @ X0 @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ n0))))))))))))) @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ X0))))))))))))))),
% 51.35/7.98 inference('sup-', [status(thm)], [zip_derived_cl141, zip_derived_cl1])).
% 51.35/7.98 thf(zip_derived_cl1, plain,
% 51.35/7.98 (![X0 : $i, X1 : $i, X2 : $i]:
% 51.35/7.98 (~ (sum @ X0 @ X1 @ X2) | (sum @ X0 @ (s @ X1) @ (s @ X2)))),
% 51.35/7.98 inference('cnf', [status(esa)], [add])).
% 51.35/7.98 thf(zip_derived_cl165, plain,
% 51.35/7.98 (![X0 : $i]:
% 51.35/7.98 (sum @ X0 @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ n0)))))))))))))) @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ X0)))))))))))))))),
% 51.35/7.98 inference('sup-', [status(thm)], [zip_derived_cl161, zip_derived_cl1])).
% 51.35/7.98 thf(zip_derived_cl1, plain,
% 51.35/7.98 (![X0 : $i, X1 : $i, X2 : $i]:
% 51.35/7.98 (~ (sum @ X0 @ X1 @ X2) | (sum @ X0 @ (s @ X1) @ (s @ X2)))),
% 51.35/7.98 inference('cnf', [status(esa)], [add])).
% 51.35/7.98 thf(zip_derived_cl183, plain,
% 51.35/7.98 (![X0 : $i]:
% 51.35/7.98 (sum @ X0 @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ n0))))))))))))))) @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ X0))))))))))))))))),
% 51.35/7.98 inference('sup-', [status(thm)], [zip_derived_cl165, zip_derived_cl1])).
% 51.35/7.98 thf(zip_derived_cl1, plain,
% 51.35/7.98 (![X0 : $i, X1 : $i, X2 : $i]:
% 51.35/7.98 (~ (sum @ X0 @ X1 @ X2) | (sum @ X0 @ (s @ X1) @ (s @ X2)))),
% 51.35/7.98 inference('cnf', [status(esa)], [add])).
% 51.35/7.98 thf(zip_derived_cl203, plain,
% 51.35/7.98 (![X0 : $i]:
% 51.35/7.98 (sum @ X0 @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ n0)))))))))))))))) @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ X0)))))))))))))))))),
% 51.35/7.98 inference('sup-', [status(thm)], [zip_derived_cl183, zip_derived_cl1])).
% 51.35/7.98 thf(zip_derived_cl1, plain,
% 51.35/7.98 (![X0 : $i, X1 : $i, X2 : $i]:
% 51.35/7.98 (~ (sum @ X0 @ X1 @ X2) | (sum @ X0 @ (s @ X1) @ (s @ X2)))),
% 51.35/7.98 inference('cnf', [status(esa)], [add])).
% 51.35/7.98 thf(zip_derived_cl223, plain,
% 51.35/7.98 (![X0 : $i]:
% 51.35/7.98 (sum @ X0 @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ n0))))))))))))))))) @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ X0))))))))))))))))))),
% 51.35/7.98 inference('sup-', [status(thm)], [zip_derived_cl203, zip_derived_cl1])).
% 51.35/7.98 thf(zip_derived_cl1, plain,
% 51.35/7.98 (![X0 : $i, X1 : $i, X2 : $i]:
% 51.35/7.98 (~ (sum @ X0 @ X1 @ X2) | (sum @ X0 @ (s @ X1) @ (s @ X2)))),
% 51.35/7.98 inference('cnf', [status(esa)], [add])).
% 51.35/7.98 thf(zip_derived_cl230, plain,
% 51.35/7.98 (![X0 : $i]:
% 51.35/7.98 (sum @ X0 @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ n0)))))))))))))))))) @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ X0)))))))))))))))))))),
% 51.35/7.98 inference('sup-', [status(thm)], [zip_derived_cl223, zip_derived_cl1])).
% 51.35/7.98 thf(zip_derived_cl1, plain,
% 51.35/7.98 (![X0 : $i, X1 : $i, X2 : $i]:
% 51.35/7.98 (~ (sum @ X0 @ X1 @ X2) | (sum @ X0 @ (s @ X1) @ (s @ X2)))),
% 51.35/7.98 inference('cnf', [status(esa)], [add])).
% 51.35/7.98 thf(zip_derived_cl247, plain,
% 51.35/7.98 (![X0 : $i]:
% 51.35/7.98 (sum @ X0 @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ n0))))))))))))))))))) @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ X0))))))))))))))))))))),
% 51.35/7.98 inference('sup-', [status(thm)], [zip_derived_cl230, zip_derived_cl1])).
% 51.35/7.98 thf(zip_derived_cl1, plain,
% 51.35/7.98 (![X0 : $i, X1 : $i, X2 : $i]:
% 51.35/7.98 (~ (sum @ X0 @ X1 @ X2) | (sum @ X0 @ (s @ X1) @ (s @ X2)))),
% 51.35/7.98 inference('cnf', [status(esa)], [add])).
% 51.35/7.98 thf(zip_derived_cl266, plain,
% 51.35/7.98 (![X0 : $i]:
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% 51.35/7.98 inference('sup-', [status(thm)], [zip_derived_cl247, zip_derived_cl1])).
% 51.35/7.98 thf(zip_derived_cl1, plain,
% 51.35/7.98 (![X0 : $i, X1 : $i, X2 : $i]:
% 51.35/7.98 (~ (sum @ X0 @ X1 @ X2) | (sum @ X0 @ (s @ X1) @ (s @ X2)))),
% 51.35/7.98 inference('cnf', [status(esa)], [add])).
% 51.35/7.98 thf(zip_derived_cl286, plain,
% 51.35/7.98 (![X0 : $i]:
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% 51.35/7.98 thf(zip_derived_cl1, plain,
% 51.35/7.98 (![X0 : $i, X1 : $i, X2 : $i]:
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% 51.35/7.98 thf(zip_derived_cl308, plain,
% 51.35/7.98 (![X0 : $i]:
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% 51.35/7.98 inference('sup-', [status(thm)], [zip_derived_cl286, zip_derived_cl1])).
% 51.35/7.98 thf(zip_derived_cl1, plain,
% 51.35/7.98 (![X0 : $i, X1 : $i, X2 : $i]:
% 51.35/7.98 (~ (sum @ X0 @ X1 @ X2) | (sum @ X0 @ (s @ X1) @ (s @ X2)))),
% 51.35/7.98 inference('cnf', [status(esa)], [add])).
% 51.35/7.98 thf(zip_derived_cl329, plain,
% 51.35/7.98 (![X0 : $i]:
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% 51.35/7.98 inference('sup-', [status(thm)], [zip_derived_cl308, zip_derived_cl1])).
% 51.35/7.98 thf(zip_derived_cl1, plain,
% 51.35/7.98 (![X0 : $i, X1 : $i, X2 : $i]:
% 51.35/7.98 (~ (sum @ X0 @ X1 @ X2) | (sum @ X0 @ (s @ X1) @ (s @ X2)))),
% 51.35/7.98 inference('cnf', [status(esa)], [add])).
% 51.35/7.98 thf(zip_derived_cl331, plain,
% 51.35/7.98 (![X0 : $i]:
% 51.35/7.98 (sum @ X0 @
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% 51.35/7.98 thf(times, axiom,
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% 51.35/7.98 thf(zip_derived_cl3, plain,
% 51.35/7.98 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 51.35/7.98 (~ (sum @ X0 @ X1 @ X2)
% 51.35/7.98 | ~ (product @ X3 @ X1 @ X0)
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% 51.35/7.98 inference('cnf', [status(esa)], [times])).
% 51.35/7.98 thf(zip_derived_cl354, plain,
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% 51.35/7.98 | ~ (product @ X1 @
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% 51.35/7.98 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ X0)))))))))))))))))))))))))
% 51.35/7.98 | ~ (product @ X1 @
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% 51.35/7.98 (s @ (s @ (s @ (s @ (s @ (s @ (s @ n0)))))))))))))))))))))))) @
% 51.35/7.98 X0))),
% 51.35/7.98 inference('sup-', [status(thm)], [zip_derived_cl331, zip_derived_cl3])).
% 51.35/7.98 thf(zip_derived_cl820, plain,
% 51.35/7.98 ( (product @ (s @ (s @ (s @ (s @ n0)))) @
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% 51.35/7.98 inference('sup-', [status(thm)], [zip_derived_cl558, zip_derived_cl354])).
% 51.35/7.98 thf(zip_derived_cl354, plain,
% 51.35/7.98 (![X0 : $i, X1 : $i]:
% 51.35/7.98 ( (product @ (s @ X1) @
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% 51.35/7.98 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ X0)))))))))))))))))))))))))
% 51.35/7.98 | ~ (product @ X1 @
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% 51.35/7.98 (s @ (s @ (s @ (s @ (s @ (s @ (s @ n0)))))))))))))))))))))))) @
% 51.35/7.98 X0))),
% 51.35/7.98 inference('sup-', [status(thm)], [zip_derived_cl331, zip_derived_cl3])).
% 51.35/7.98 thf(zip_derived_cl1107, plain,
% 51.35/7.98 ( (product @ (s @ (s @ (s @ (s @ (s @ n0))))) @
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% 51.35/7.98 inference('sup-', [status(thm)], [zip_derived_cl820, zip_derived_cl354])).
% 51.35/7.98 thf(factorial, axiom,
% 51.35/7.98 (( ~( factorial @ X @ Z ) ) | ( ~( product @ ( s @ X ) @ Z @ Y ) ) |
% 51.35/7.98 ( factorial @ ( s @ X ) @ Y ))).
% 51.35/7.98 thf(zip_derived_cl5, plain,
% 51.35/7.98 (![X0 : $i, X1 : $i, X2 : $i]:
% 51.35/7.98 (~ (factorial @ X0 @ X1)
% 51.35/7.98 | ~ (product @ (s @ X0) @ X1 @ X2)
% 51.35/7.98 | (factorial @ (s @ X0) @ X2))),
% 51.35/7.98 inference('cnf', [status(esa)], [factorial])).
% 51.35/7.98 thf(zip_derived_cl1380, plain,
% 51.35/7.98 (( (factorial @ (s @ (s @ (s @ (s @ (s @ n0))))) @
% 51.35/7.98 (s @
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% 51.35/7.98 (
% 51.35/7.98 s @
% 51.35/7.98 (
% 51.35/7.98 s @ n0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 51.35/7.98 | ~ (factorial @ (s @ (s @ (s @ (s @ n0)))) @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ n0))))))))))))))))))))))))))),
% 51.35/7.98 inference('sup-', [status(thm)], [zip_derived_cl1107, zip_derived_cl5])).
% 51.35/7.98 thf(zip_derived_cl2, plain, (![X0 : $i]: (product @ (s @ n0) @ X0 @ X0)),
% 51.35/7.98 inference('cnf', [status(esa)], [times1])).
% 51.35/7.98 thf(zip_derived_cl54, plain,
% 51.35/7.98 (![X0 : $i]:
% 51.35/7.98 (sum @ X0 @ (s @ (s @ (s @ (s @ (s @ (s @ n0)))))) @
% 51.35/7.98 (s @ (s @ (s @ (s @ (s @ (s @ X0)))))))),
% 51.35/7.98 inference('sup-', [status(thm)], [zip_derived_cl38, zip_derived_cl1])).
% 51.35/7.98 thf(zip_derived_cl3, plain,
% 51.35/7.98 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 51.35/7.98 (~ (sum @ X0 @ X1 @ X2)
% 51.35/7.98 | ~ (product @ X3 @ X1 @ X0)
% 51.35/7.98 | (product @ (s @ X3) @ X1 @ X2))),
% 51.35/7.98 inference('cnf', [status(esa)], [times])).
% 51.35/7.98 thf(zip_derived_cl61, plain,
% 51.35/7.98 (![X0 : $i, X1 : $i]:
% 51.35/7.98 ( (product @ (s @ X1) @ (s @ (s @ (s @ (s @ (s @ (s @ n0)))))) @
% 51.35/7.98 (s @ (s @ (s @ (s @ (s @ (s @ X0)))))))
% 51.35/7.98 | ~ (product @ X1 @ (s @ (s @ (s @ (s @ (s @ (s @ n0)))))) @ X0))),
% 51.35/7.98 inference('sup-', [status(thm)], [zip_derived_cl54, zip_derived_cl3])).
% 51.35/7.98 thf(zip_derived_cl106, plain,
% 51.35/7.98 ( (product @ (s @ (s @ n0)) @ (s @ (s @ (s @ (s @ (s @ (s @ n0)))))) @
% 51.35/7.98 (s @
% 51.35/7.98 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ n0)))))))))))))),
% 51.35/7.98 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl61])).
% 51.35/7.98 thf(zip_derived_cl61, plain,
% 51.35/7.98 (![X0 : $i, X1 : $i]:
% 51.35/7.98 ( (product @ (s @ X1) @ (s @ (s @ (s @ (s @ (s @ (s @ n0)))))) @
% 51.35/7.98 (s @ (s @ (s @ (s @ (s @ (s @ X0)))))))
% 51.35/7.98 | ~ (product @ X1 @ (s @ (s @ (s @ (s @ (s @ (s @ n0)))))) @ X0))),
% 51.35/7.98 inference('sup-', [status(thm)], [zip_derived_cl54, zip_derived_cl3])).
% 51.35/7.98 thf(zip_derived_cl121, plain,
% 51.35/7.98 ( (product @ (s @ (s @ (s @ n0))) @
% 51.35/7.98 (s @ (s @ (s @ (s @ (s @ (s @ n0)))))) @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ n0)))))))))))))))))))),
% 51.35/7.98 inference('sup-', [status(thm)], [zip_derived_cl106, zip_derived_cl61])).
% 51.35/7.98 thf(zip_derived_cl61, plain,
% 51.35/7.98 (![X0 : $i, X1 : $i]:
% 51.35/7.98 ( (product @ (s @ X1) @ (s @ (s @ (s @ (s @ (s @ (s @ n0)))))) @
% 51.35/7.98 (s @ (s @ (s @ (s @ (s @ (s @ X0)))))))
% 51.35/7.98 | ~ (product @ X1 @ (s @ (s @ (s @ (s @ (s @ (s @ n0)))))) @ X0))),
% 51.35/7.98 inference('sup-', [status(thm)], [zip_derived_cl54, zip_derived_cl3])).
% 51.35/7.98 thf(zip_derived_cl167, plain,
% 51.35/7.98 ( (product @ (s @ (s @ (s @ (s @ n0)))) @
% 51.35/7.98 (s @ (s @ (s @ (s @ (s @ (s @ n0)))))) @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ n0)))))))))))))))))))))))))),
% 51.35/7.98 inference('sup-', [status(thm)], [zip_derived_cl121, zip_derived_cl61])).
% 51.35/7.98 thf(zip_derived_cl5, plain,
% 51.35/7.98 (![X0 : $i, X1 : $i, X2 : $i]:
% 51.35/7.98 (~ (factorial @ X0 @ X1)
% 51.35/7.98 | ~ (product @ (s @ X0) @ X1 @ X2)
% 51.35/7.98 | (factorial @ (s @ X0) @ X2))),
% 51.35/7.98 inference('cnf', [status(esa)], [factorial])).
% 51.35/7.98 thf(zip_derived_cl221, plain,
% 51.35/7.98 (( (factorial @ (s @ (s @ (s @ (s @ n0)))) @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ n0)))))))))))))))))))))))))
% 51.35/7.98 | ~ (factorial @ (s @ (s @ (s @ n0))) @
% 51.35/7.98 (s @ (s @ (s @ (s @ (s @ (s @ n0))))))))),
% 51.35/7.98 inference('sup-', [status(thm)], [zip_derived_cl167, zip_derived_cl5])).
% 51.35/7.98 thf(zip_derived_cl2, plain, (![X0 : $i]: (product @ (s @ n0) @ X0 @ X0)),
% 51.35/7.98 inference('cnf', [status(esa)], [times1])).
% 51.35/7.98 thf(zip_derived_cl9, plain,
% 51.35/7.98 (![X0 : $i]: (sum @ X0 @ (s @ (s @ n0)) @ (s @ (s @ X0)))),
% 51.35/7.98 inference('sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl1])).
% 51.35/7.98 thf(zip_derived_cl3, plain,
% 51.35/7.98 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 51.35/7.98 (~ (sum @ X0 @ X1 @ X2)
% 51.35/7.98 | ~ (product @ X3 @ X1 @ X0)
% 51.35/7.98 | (product @ (s @ X3) @ X1 @ X2))),
% 51.35/7.98 inference('cnf', [status(esa)], [times])).
% 51.35/7.98 thf(zip_derived_cl15, plain,
% 51.35/7.98 (![X0 : $i, X1 : $i]:
% 51.35/7.98 ( (product @ (s @ X1) @ (s @ (s @ n0)) @ (s @ (s @ X0)))
% 51.35/7.98 | ~ (product @ X1 @ (s @ (s @ n0)) @ X0))),
% 51.35/7.98 inference('sup-', [status(thm)], [zip_derived_cl9, zip_derived_cl3])).
% 51.35/7.98 thf(zip_derived_cl40, plain,
% 51.35/7.98 ( (product @ (s @ (s @ n0)) @ (s @ (s @ n0)) @ (s @ (s @ (s @ (s @ n0)))))),
% 51.35/7.98 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl15])).
% 51.35/7.98 thf(zip_derived_cl15, plain,
% 51.35/7.98 (![X0 : $i, X1 : $i]:
% 51.35/7.98 ( (product @ (s @ X1) @ (s @ (s @ n0)) @ (s @ (s @ X0)))
% 51.35/7.98 | ~ (product @ X1 @ (s @ (s @ n0)) @ X0))),
% 51.35/7.98 inference('sup-', [status(thm)], [zip_derived_cl9, zip_derived_cl3])).
% 51.35/7.98 thf(zip_derived_cl43, plain,
% 51.35/7.98 ( (product @ (s @ (s @ (s @ n0))) @ (s @ (s @ n0)) @
% 51.35/7.98 (s @ (s @ (s @ (s @ (s @ (s @ n0)))))))),
% 51.35/7.98 inference('sup-', [status(thm)], [zip_derived_cl40, zip_derived_cl15])).
% 51.35/7.98 thf(zip_derived_cl5, plain,
% 51.35/7.98 (![X0 : $i, X1 : $i, X2 : $i]:
% 51.35/7.98 (~ (factorial @ X0 @ X1)
% 51.35/7.98 | ~ (product @ (s @ X0) @ X1 @ X2)
% 51.35/7.98 | (factorial @ (s @ X0) @ X2))),
% 51.35/7.98 inference('cnf', [status(esa)], [factorial])).
% 51.35/7.98 thf(zip_derived_cl52, plain,
% 51.35/7.98 (( (factorial @ (s @ (s @ (s @ n0))) @
% 51.35/7.98 (s @ (s @ (s @ (s @ (s @ (s @ n0)))))))
% 51.35/7.98 | ~ (factorial @ (s @ (s @ n0)) @ (s @ (s @ n0))))),
% 51.35/7.98 inference('sup-', [status(thm)], [zip_derived_cl43, zip_derived_cl5])).
% 51.35/7.98 thf(zip_derived_cl2, plain, (![X0 : $i]: (product @ (s @ n0) @ X0 @ X0)),
% 51.35/7.98 inference('cnf', [status(esa)], [times1])).
% 51.35/7.98 thf(zip_derived_cl7, plain, (![X0 : $i]: (sum @ X0 @ (s @ n0) @ (s @ X0))),
% 51.35/7.98 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl1])).
% 51.35/7.98 thf(zip_derived_cl3, plain,
% 51.35/7.98 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 51.35/7.98 (~ (sum @ X0 @ X1 @ X2)
% 51.35/7.98 | ~ (product @ X3 @ X1 @ X0)
% 51.35/7.98 | (product @ (s @ X3) @ X1 @ X2))),
% 51.35/7.98 inference('cnf', [status(esa)], [times])).
% 51.35/7.98 thf(zip_derived_cl14, plain,
% 51.35/7.98 (![X0 : $i, X1 : $i]:
% 51.35/7.98 ( (product @ (s @ X1) @ (s @ n0) @ (s @ X0))
% 51.35/7.98 | ~ (product @ X1 @ (s @ n0) @ X0))),
% 51.35/7.98 inference('sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl3])).
% 51.35/7.98 thf(zip_derived_cl32, plain,
% 51.35/7.98 ( (product @ (s @ (s @ n0)) @ (s @ n0) @ (s @ (s @ n0)))),
% 51.35/7.98 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl14])).
% 51.35/7.98 thf(zip_derived_cl5, plain,
% 51.35/7.98 (![X0 : $i, X1 : $i, X2 : $i]:
% 51.35/7.98 (~ (factorial @ X0 @ X1)
% 51.35/7.98 | ~ (product @ (s @ X0) @ X1 @ X2)
% 51.35/7.98 | (factorial @ (s @ X0) @ X2))),
% 51.35/7.98 inference('cnf', [status(esa)], [factorial])).
% 51.35/7.98 thf(zip_derived_cl34, plain,
% 51.35/7.98 (( (factorial @ (s @ (s @ n0)) @ (s @ (s @ n0)))
% 51.35/7.98 | ~ (factorial @ (s @ n0) @ (s @ n0)))),
% 51.35/7.98 inference('sup-', [status(thm)], [zip_derived_cl32, zip_derived_cl5])).
% 51.35/7.98 thf(factorial_0, axiom, (factorial @ n0 @ ( s @ n0 ))).
% 51.35/7.98 thf(zip_derived_cl4, plain, ( (factorial @ n0 @ (s @ n0))),
% 51.35/7.98 inference('cnf', [status(esa)], [factorial_0])).
% 51.35/7.98 thf(zip_derived_cl2, plain, (![X0 : $i]: (product @ (s @ n0) @ X0 @ X0)),
% 51.35/7.98 inference('cnf', [status(esa)], [times1])).
% 51.35/7.98 thf(zip_derived_cl5, plain,
% 51.35/7.98 (![X0 : $i, X1 : $i, X2 : $i]:
% 51.35/7.98 (~ (factorial @ X0 @ X1)
% 51.35/7.98 | ~ (product @ (s @ X0) @ X1 @ X2)
% 51.35/7.98 | (factorial @ (s @ X0) @ X2))),
% 51.35/7.98 inference('cnf', [status(esa)], [factorial])).
% 51.35/7.98 thf(zip_derived_cl8, plain,
% 51.35/7.98 (![X0 : $i]: ( (factorial @ (s @ n0) @ X0) | ~ (factorial @ n0 @ X0))),
% 51.35/7.98 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl5])).
% 51.35/7.98 thf(zip_derived_cl12, plain, ( (factorial @ (s @ n0) @ (s @ n0))),
% 51.35/7.98 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl8])).
% 51.35/7.98 thf(zip_derived_cl35, plain,
% 51.35/7.98 ( (factorial @ (s @ (s @ n0)) @ (s @ (s @ n0)))),
% 51.35/7.98 inference('demod', [status(thm)], [zip_derived_cl34, zip_derived_cl12])).
% 51.35/7.98 thf(zip_derived_cl53, plain,
% 51.35/7.98 ( (factorial @ (s @ (s @ (s @ n0))) @
% 51.35/7.98 (s @ (s @ (s @ (s @ (s @ (s @ n0)))))))),
% 51.35/7.98 inference('demod', [status(thm)], [zip_derived_cl52, zip_derived_cl35])).
% 51.35/7.98 thf(zip_derived_cl222, plain,
% 51.35/7.98 ( (factorial @ (s @ (s @ (s @ (s @ n0)))) @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ n0)))))))))))))))))))))))))),
% 51.35/7.98 inference('demod', [status(thm)], [zip_derived_cl221, zip_derived_cl53])).
% 51.35/7.98 thf(zip_derived_cl1381, plain,
% 51.35/7.98 ( (factorial @ (s @ (s @ (s @ (s @ (s @ n0))))) @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (s @
% 51.35/7.98 (
% 51.35/7.98 s @
% 51.35/7.98 (
% 51.35/7.98 s @
% 51.35/7.98 (
% 51.35/7.98 s @
% 51.35/7.98 (
% 51.35/7.98 s @
% 51.35/7.98 (
% 51.35/7.98 s @
% 51.35/7.98 (
% 51.35/7.98 s @
% 51.35/7.98 (
% 51.35/7.98 s @
% 51.35/7.98 (
% 51.35/7.98 s @
% 51.35/7.98 (
% 51.35/7.98 s @
% 51.35/7.98 (
% 51.35/7.98 s @
% 51.35/7.98 (
% 51.35/7.98 s @
% 51.35/7.98 (
% 51.35/7.98 s @
% 51.35/7.98 (
% 51.35/7.98 s @
% 51.35/7.98 (
% 51.35/7.98 s @
% 51.35/7.98 (
% 51.35/7.98 s @
% 51.35/7.98 (
% 51.35/7.98 s @
% 51.35/7.98 (
% 51.35/7.98 s @
% 51.35/7.98 (
% 51.35/7.98 s @
% 51.35/7.98 (
% 51.35/7.98 s @
% 51.35/7.98 (
% 51.35/7.98 s @
% 51.35/7.98 (
% 51.35/7.98 s @
% 51.35/7.98 (
% 51.35/7.98 s @
% 51.35/7.98 (
% 51.35/7.98 s @
% 51.35/7.98 (
% 51.35/7.98 s @
% 51.35/7.98 (
% 51.35/7.98 s @
% 51.35/7.98 (
% 51.35/7.98 s @
% 51.35/7.98 (
% 51.35/7.98 s @
% 51.35/7.98 (
% 51.35/7.98 s @
% 51.35/7.98 (
% 51.35/7.98 s @
% 51.35/7.98 (
% 51.35/7.98 s @
% 51.35/7.98 (
% 51.35/7.98 s @
% 51.35/7.98 (
% 51.35/7.98 s @
% 51.35/7.98 (
% 51.35/7.98 s @
% 51.35/7.98 (
% 51.35/7.98 s @
% 51.35/7.98 (
% 51.35/7.98 s @
% 51.35/7.98 (
% 51.35/7.98 s @
% 51.35/7.98 (
% 51.35/7.98 s @
% 51.35/7.98 (
% 51.35/7.98 s @
% 51.35/7.98 (
% 51.35/7.98 s @
% 51.35/7.98 (
% 51.35/7.98 s @
% 51.35/7.98 (
% 51.35/7.98 s @
% 51.35/7.98 (
% 51.35/7.98 s @
% 51.35/7.98 (
% 51.35/7.98 s @
% 51.35/7.98 (
% 51.35/7.98 s @
% 51.35/7.98 (
% 51.35/7.98 s @
% 51.35/7.98 (
% 51.35/7.98 s @
% 51.35/7.98 (
% 51.35/7.98 s @
% 51.35/7.98 (
% 51.35/7.98 s @
% 51.35/7.98 (
% 51.35/7.98 s @
% 51.35/7.98 (
% 51.35/7.98 s @
% 51.35/7.98 (
% 51.35/7.98 s @
% 51.35/7.98 (
% 51.35/7.98 s @
% 51.35/7.98 (
% 51.35/7.98 s @
% 51.35/7.98 (
% 51.35/7.98 s @
% 51.35/7.98 (
% 51.35/7.98 s @
% 51.35/7.98 (
% 51.35/7.98 s @
% 51.35/7.98 (
% 51.35/7.98 s @
% 51.35/7.98 (
% 51.35/7.98 s @
% 51.35/7.98 (
% 51.35/7.98 s @ n0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 51.35/7.98 inference('demod', [status(thm)], [zip_derived_cl1380, zip_derived_cl222])).
% 51.35/7.98 thf(prove_factorial, conjecture,
% 51.35/7.98 (factorial @ ( s @ ( s @ ( s @ ( s @ ( s @ n0 ) ) ) ) ) @ Result)).
% 51.35/7.98 thf(zf_stmt_0, negated_conjecture,
% 51.35/7.98 (~( factorial @ ( s @ ( s @ ( s @ ( s @ ( s @ n0 ) ) ) ) ) @ Result )),
% 51.35/7.98 inference('cnf.neg', [status(esa)], [prove_factorial])).
% 51.35/7.98 thf(zip_derived_cl6, plain,
% 51.35/7.98 (![X0 : $i]: ~ (factorial @ (s @ (s @ (s @ (s @ (s @ n0))))) @ X0)),
% 51.35/7.98 inference('cnf', [status(esa)], [zf_stmt_0])).
% 51.35/7.98 thf(zip_derived_cl1382, plain, ($false),
% 51.35/7.98 inference('sup-', [status(thm)], [zip_derived_cl1381, zip_derived_cl6])).
% 51.35/7.98
% 51.35/7.98 % SZS output end Refutation
% 51.35/7.98
% 51.35/7.98
% 51.35/7.98 % Terminating...
% 52.41/8.11 % Runner terminated.
% 52.43/8.12 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------