%------------------------------------------------------------------------------ % File : cocATP---0.2.0 % Problem : SEU859^5 : TPTP v6.1.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p % Computer : n108.star.cs.uiowa.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz % Memory : 32286.75MB % OS : Linux 2.6.32-431.20.3.el6.x86_64 % CPULimit : 300s % DateTime : Thu Jul 17 13:33:17 EDT 2014 % Result : Theorem 1.89s % Output : Proof 1.89s % Verified : % SZS Type : None (Parsing solution fails) % Syntax : Number of formulae : 0 % Comments : %------------------------------------------------------------------------------ %----ERROR: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % % Problem : SEU859^5 : TPTP v6.1.0. Released v4.0.0. % % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p % % Computer : n108.star.cs.uiowa.edu % % Model : x86_64 x86_64 % % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz % % Memory : 32286.75MB % % OS : Linux 2.6.32-431.20.3.el6.x86_64 % % CPULimit : 300 % % DateTime : Thu Jul 17 11:37:21 CDT 2014 % % CPUTime : 1.89 % Python 2.7.5 % Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/'] % FOF formula (<kernel.Constant object at 0x9a04d0>, <kernel.Type object at 0x9a0b48>) of role type named a_type % Using role type % Declaring a:Type % FOF formula (forall (Xr:(a->Prop)) (Xx:a), ((forall (Xw:((a->Prop)->Prop)), (((and (Xw (fun (Xx0:a)=> False))) (forall (Xr0:(a->Prop)) (Xx0:a), ((Xw Xr0)->(Xw (fun (Xt:a)=> ((or (Xr0 Xt)) (((eq a) Xt) Xx0)))))))->(Xw Xr)))->(forall (Xw:((a->Prop)->Prop)), (((and (Xw (fun (Xx0:a)=> False))) (forall (Xr0:(a->Prop)) (Xx0:a), ((Xw Xr0)->(Xw (fun (Xt:a)=> ((or (Xr0 Xt)) (((eq a) Xt) Xx0)))))))->(Xw (fun (Xt:a)=> ((or (Xr Xt)) (((eq a) Xt) Xx)))))))) of role conjecture named cTHM164_pme % Conjecture to prove = (forall (Xr:(a->Prop)) (Xx:a), ((forall (Xw:((a->Prop)->Prop)), (((and (Xw (fun (Xx0:a)=> False))) (forall (Xr0:(a->Prop)) (Xx0:a), ((Xw Xr0)->(Xw (fun (Xt:a)=> ((or (Xr0 Xt)) (((eq a) Xt) Xx0)))))))->(Xw Xr)))->(forall (Xw:((a->Prop)->Prop)), (((and (Xw (fun (Xx0:a)=> False))) (forall (Xr0:(a->Prop)) (Xx0:a), ((Xw Xr0)->(Xw (fun (Xt:a)=> ((or (Xr0 Xt)) (((eq a) Xt) Xx0)))))))->(Xw (fun (Xt:a)=> ((or (Xr Xt)) (((eq a) Xt) Xx)))))))):Prop % Parameter a_DUMMY:a. % We need to prove ['(forall (Xr:(a->Prop)) (Xx:a), ((forall (Xw:((a->Prop)->Prop)), (((and (Xw (fun (Xx0:a)=> False))) (forall (Xr0:(a->Prop)) (Xx0:a), ((Xw Xr0)->(Xw (fun (Xt:a)=> ((or (Xr0 Xt)) (((eq a) Xt) Xx0)))))))->(Xw Xr)))->(forall (Xw:((a->Prop)->Prop)), (((and (Xw (fun (Xx0:a)=> False))) (forall (Xr0:(a->Prop)) (Xx0:a), ((Xw Xr0)->(Xw (fun (Xt:a)=> ((or (Xr0 Xt)) (((eq a) Xt) Xx0)))))))->(Xw (fun (Xt:a)=> ((or (Xr Xt)) (((eq a) Xt) Xx))))))))'] % Parameter a:Type. % Trying to prove (forall (Xr:(a->Prop)) (Xx:a), ((forall (Xw:((a->Prop)->Prop)), (((and (Xw (fun (Xx0:a)=> False))) (forall (Xr0:(a->Prop)) (Xx0:a), ((Xw Xr0)->(Xw (fun (Xt:a)=> ((or (Xr0 Xt)) (((eq a) Xt) Xx0)))))))->(Xw Xr)))->(forall (Xw:((a->Prop)->Prop)), (((and (Xw (fun (Xx0:a)=> False))) (forall (Xr0:(a->Prop)) (Xx0:a), ((Xw Xr0)->(Xw (fun (Xt:a)=> ((or (Xr0 Xt)) (((eq a) Xt) Xx0)))))))->(Xw (fun (Xt:a)=> ((or (Xr Xt)) (((eq a) Xt) Xx)))))))) % Found x30:=(x3 x0):(Xw Xr) % Found (x3 x0) as proof of (Xw Xr) % Found ((x Xw) x0) as proof of (Xw Xr) % Found ((x Xw) x0) as proof of (Xw Xr) % Found (x200 ((x Xw) x0)) as proof of (Xw (fun (Xt:a)=> ((or (Xr Xt)) (((eq a) Xt) Xx)))) % Found ((x20 Xx) ((x Xw) x0)) as proof of (Xw (fun (Xt:a)=> ((or (Xr Xt)) (((eq a) Xt) Xx)))) % Found (((x2 Xr) Xx) ((x Xw) x0)) as proof of (Xw (fun (Xt:a)=> ((or (Xr Xt)) (((eq a) Xt) Xx)))) % Found (fun (x2:(forall (Xr0:(a->Prop)) (Xx0:a), ((Xw Xr0)->(Xw (fun (Xt:a)=> ((or (Xr0 Xt)) (((eq a) Xt) Xx0)))))))=> (((x2 Xr) Xx) ((x Xw) x0))) as proof of (Xw (fun (Xt:a)=> ((or (Xr Xt)) (((eq a) Xt) Xx)))) % Found (fun (x1:(Xw (fun (Xx0:a)=> False))) (x2:(forall (Xr0:(a->Prop)) (Xx0:a), ((Xw Xr0)->(Xw (fun (Xt:a)=> ((or (Xr0 Xt)) (((eq a) Xt) Xx0)))))))=> (((x2 Xr) Xx) ((x Xw) x0))) as proof of ((forall (Xr0:(a->Prop)) (Xx0:a), ((Xw Xr0)->(Xw (fun (Xt:a)=> ((or (Xr0 Xt)) (((eq a) Xt) Xx0))))))->(Xw (fun (Xt:a)=> ((or (Xr Xt)) (((eq a) Xt) Xx))))) % Found (fun (x1:(Xw (fun (Xx0:a)=> False))) (x2:(forall (Xr0:(a->Prop)) (Xx0:a), ((Xw Xr0)->(Xw (fun (Xt:a)=> ((or (Xr0 Xt)) (((eq a) Xt) Xx0)))))))=> (((x2 Xr) Xx) ((x Xw) x0))) as proof of ((Xw (fun (Xx0:a)=> False))->((forall (Xr0:(a->Prop)) (Xx0:a), ((Xw Xr0)->(Xw (fun (Xt:a)=> ((or (Xr0 Xt)) (((eq a) Xt) Xx0))))))->(Xw (fun (Xt:a)=> ((or (Xr Xt)) (((eq a) Xt) Xx)))))) % Found (and_rect00 (fun (x1:(Xw (fun (Xx0:a)=> False))) (x2:(forall (Xr0:(a->Prop)) (Xx0:a), ((Xw Xr0)->(Xw (fun (Xt:a)=> ((or (Xr0 Xt)) (((eq a) Xt) Xx0)))))))=> (((x2 Xr) Xx) ((x Xw) x0)))) as proof of (Xw (fun (Xt:a)=> ((or (Xr Xt)) (((eq a) Xt) Xx)))) % Found ((and_rect0 (Xw (fun (Xt:a)=> ((or (Xr Xt)) (((eq a) Xt) Xx))))) (fun (x1:(Xw (fun (Xx0:a)=> False))) (x2:(forall (Xr0:(a->Prop)) (Xx0:a), ((Xw Xr0)->(Xw (fun (Xt:a)=> ((or (Xr0 Xt)) (((eq a) Xt) Xx0)))))))=> (((x2 Xr) Xx) ((x Xw) x0)))) as proof of (Xw (fun (Xt:a)=> ((or (Xr Xt)) (((eq a) Xt) Xx)))) % Found (((fun (P:Type) (x1:((Xw (fun (Xx0:a)=> False))->((forall (Xr0:(a->Prop)) (Xx0:a), ((Xw Xr0)->(Xw (fun (Xt:a)=> ((or (Xr0 Xt)) (((eq a) Xt) Xx0))))))->P)))=> (((((and_rect (Xw (fun (Xx0:a)=> False))) (forall (Xr0:(a->Prop)) (Xx0:a), ((Xw Xr0)->(Xw (fun (Xt:a)=> ((or (Xr0 Xt)) (((eq a) Xt) Xx0))))))) P) x1) x0)) (Xw (fun (Xt:a)=> ((or (Xr Xt)) (((eq a) Xt) Xx))))) (fun (x1:(Xw (fun (Xx0:a)=> False))) (x2:(forall (Xr0:(a->Prop)) (Xx0:a), ((Xw Xr0)->(Xw (fun (Xt:a)=> ((or (Xr0 Xt)) (((eq a) Xt) Xx0)))))))=> (((x2 Xr) Xx) ((x Xw) x0)))) as proof of (Xw (fun (Xt:a)=> ((or (Xr Xt)) (((eq a) Xt) Xx)))) % Found (fun (x0:((and (Xw (fun (Xx0:a)=> False))) (forall (Xr0:(a->Prop)) (Xx0:a), ((Xw Xr0)->(Xw (fun (Xt:a)=> ((or (Xr0 Xt)) (((eq a) Xt) Xx0))))))))=> (((fun (P:Type) (x1:((Xw (fun (Xx0:a)=> False))->((forall (Xr0:(a->Prop)) (Xx0:a), ((Xw Xr0)->(Xw (fun (Xt:a)=> ((or (Xr0 Xt)) (((eq a) Xt) Xx0))))))->P)))=> (((((and_rect (Xw (fun (Xx0:a)=> False))) (forall (Xr0:(a->Prop)) (Xx0:a), ((Xw Xr0)->(Xw (fun (Xt:a)=> ((or (Xr0 Xt)) (((eq a) Xt) Xx0))))))) P) x1) x0)) (Xw (fun (Xt:a)=> ((or (Xr Xt)) (((eq a) Xt) Xx))))) (fun (x1:(Xw (fun (Xx0:a)=> False))) (x2:(forall (Xr0:(a->Prop)) (Xx0:a), ((Xw Xr0)->(Xw (fun (Xt:a)=> ((or (Xr0 Xt)) (((eq a) Xt) Xx0)))))))=> (((x2 Xr) Xx) ((x Xw) x0))))) as proof of (Xw (fun (Xt:a)=> ((or (Xr Xt)) (((eq a) Xt) Xx)))) % Found (fun (Xw:((a->Prop)->Prop)) (x0:((and (Xw (fun (Xx0:a)=> False))) (forall (Xr0:(a->Prop)) (Xx0:a), ((Xw Xr0)->(Xw (fun (Xt:a)=> ((or (Xr0 Xt)) (((eq a) Xt) Xx0))))))))=> (((fun (P:Type) (x1:((Xw (fun (Xx0:a)=> False))->((forall (Xr0:(a->Prop)) (Xx0:a), ((Xw Xr0)->(Xw (fun (Xt:a)=> ((or (Xr0 Xt)) (((eq a) Xt) Xx0))))))->P)))=> (((((and_rect (Xw (fun (Xx0:a)=> False))) (forall (Xr0:(a->Prop)) (Xx0:a), ((Xw Xr0)->(Xw (fun (Xt:a)=> ((or (Xr0 Xt)) (((eq a) Xt) Xx0))))))) P) x1) x0)) (Xw (fun (Xt:a)=> ((or (Xr Xt)) (((eq a) Xt) Xx))))) (fun (x1:(Xw (fun (Xx0:a)=> False))) (x2:(forall (Xr0:(a->Prop)) (Xx0:a), ((Xw Xr0)->(Xw (fun (Xt:a)=> ((or (Xr0 Xt)) (((eq a) Xt) Xx0)))))))=> (((x2 Xr) Xx) ((x Xw) x0))))) as proof of (((and (Xw (fun (Xx0:a)=> False))) (forall (Xr0:(a->Prop)) (Xx0:a), ((Xw Xr0)->(Xw (fun (Xt:a)=> ((or (Xr0 Xt)) (((eq a) Xt) Xx0)))))))->(Xw (fun (Xt:a)=> ((or (Xr Xt)) (((eq a) Xt) Xx))))) % Found (fun (x:(forall (Xw:((a->Prop)->Prop)), (((and (Xw (fun (Xx0:a)=> False))) (forall (Xr0:(a->Prop)) (Xx0:a), ((Xw Xr0)->(Xw (fun (Xt:a)=> ((or (Xr0 Xt)) (((eq a) Xt) Xx0)))))))->(Xw Xr)))) (Xw:((a->Prop)->Prop)) (x0:((and (Xw (fun (Xx0:a)=> False))) (forall (Xr0:(a->Prop)) (Xx0:a), ((Xw Xr0)->(Xw (fun (Xt:a)=> ((or (Xr0 Xt)) (((eq a) Xt) Xx0))))))))=> (((fun (P:Type) (x1:((Xw (fun (Xx0:a)=> False))->((forall (Xr0:(a->Prop)) (Xx0:a), ((Xw Xr0)->(Xw (fun (Xt:a)=> ((or (Xr0 Xt)) (((eq a) Xt) Xx0))))))->P)))=> (((((and_rect (Xw (fun (Xx0:a)=> False))) (forall (Xr0:(a->Prop)) (Xx0:a), ((Xw Xr0)->(Xw (fun (Xt:a)=> ((or (Xr0 Xt)) (((eq a) Xt) Xx0))))))) P) x1) x0)) (Xw (fun (Xt:a)=> ((or (Xr Xt)) (((eq a) Xt) Xx))))) (fun (x1:(Xw (fun (Xx0:a)=> False))) (x2:(forall (Xr0:(a->Prop)) (Xx0:a), ((Xw Xr0)->(Xw (fun (Xt:a)=> ((or (Xr0 Xt)) (((eq a) Xt) Xx0)))))))=> (((x2 Xr) Xx) ((x Xw) x0))))) as proof of (forall (Xw:((a->Prop)->Prop)), (((and (Xw (fun (Xx0:a)=> False))) (forall (Xr0:(a->Prop)) (Xx0:a), ((Xw Xr0)->(Xw (fun (Xt:a)=> ((or (Xr0 Xt)) (((eq a) Xt) Xx0)))))))->(Xw (fun (Xt:a)=> ((or (Xr Xt)) (((eq a) Xt) Xx)))))) % Found (fun (Xx:a) (x:(forall (Xw:((a->Prop)->Prop)), (((and (Xw (fun (Xx0:a)=> False))) (forall (Xr0:(a->Prop)) (Xx0:a), ((Xw Xr0)->(Xw (fun (Xt:a)=> ((or (Xr0 Xt)) (((eq a) Xt) Xx0)))))))->(Xw Xr)))) (Xw:((a->Prop)->Prop)) (x0:((and (Xw (fun (Xx0:a)=> False))) (forall (Xr0:(a->Prop)) (Xx0:a), ((Xw Xr0)->(Xw (fun (Xt:a)=> ((or (Xr0 Xt)) (((eq a) Xt) Xx0))))))))=> (((fun (P:Type) (x1:((Xw (fun (Xx0:a)=> False))->((forall (Xr0:(a->Prop)) (Xx0:a), ((Xw Xr0)->(Xw (fun (Xt:a)=> ((or (Xr0 Xt)) (((eq a) Xt) Xx0))))))->P)))=> (((((and_rect (Xw (fun (Xx0:a)=> False))) (forall (Xr0:(a->Prop)) (Xx0:a), ((Xw Xr0)->(Xw (fun (Xt:a)=> ((or (Xr0 Xt)) (((eq a) Xt) Xx0))))))) P) x1) x0)) (Xw (fun (Xt:a)=> ((or (Xr Xt)) (((eq a) Xt) Xx))))) (fun (x1:(Xw (fun (Xx0:a)=> False))) (x2:(forall (Xr0:(a->Prop)) (Xx0:a), ((Xw Xr0)->(Xw (fun (Xt:a)=> ((or (Xr0 Xt)) (((eq a) Xt) Xx0)))))))=> (((x2 Xr) Xx) ((x Xw) x0))))) as proof of ((forall (Xw:((a->Prop)->Prop)), (((and (Xw (fun (Xx0:a)=> False))) (forall (Xr0:(a->Prop)) (Xx0:a), ((Xw Xr0)->(Xw (fun (Xt:a)=> ((or (Xr0 Xt)) (((eq a) Xt) Xx0)))))))->(Xw Xr)))->(forall (Xw:((a->Prop)->Prop)), (((and (Xw (fun (Xx0:a)=> False))) (forall (Xr0:(a->Prop)) (Xx0:a), ((Xw Xr0)->(Xw (fun (Xt:a)=> ((or (Xr0 Xt)) (((eq a) Xt) Xx0)))))))->(Xw (fun (Xt:a)=> ((or (Xr Xt)) (((eq a) Xt) Xx))))))) % Found (fun (Xr:(a->Prop)) (Xx:a) (x:(forall (Xw:((a->Prop)->Prop)), (((and (Xw (fun (Xx0:a)=> False))) (forall (Xr0:(a->Prop)) (Xx0:a), ((Xw Xr0)->(Xw (fun (Xt:a)=> ((or (Xr0 Xt)) (((eq a) Xt) Xx0)))))))->(Xw Xr)))) (Xw:((a->Prop)->Prop)) (x0:((and (Xw (fun (Xx0:a)=> False))) (forall (Xr0:(a->Prop)) (Xx0:a), ((Xw Xr0)->(Xw (fun (Xt:a)=> ((or (Xr0 Xt)) (((eq a) Xt) Xx0))))))))=> (((fun (P:Type) (x1:((Xw (fun (Xx0:a)=> False))->((forall (Xr0:(a->Prop)) (Xx0:a), ((Xw Xr0)->(Xw (fun (Xt:a)=> ((or (Xr0 Xt)) (((eq a) Xt) Xx0))))))->P)))=> (((((and_rect (Xw (fun (Xx0:a)=> False))) (forall (Xr0:(a->Prop)) (Xx0:a), ((Xw Xr0)->(Xw (fun (Xt:a)=> ((or (Xr0 Xt)) (((eq a) Xt) Xx0))))))) P) x1) x0)) (Xw (fun (Xt:a)=> ((or (Xr Xt)) (((eq a) Xt) Xx))))) (fun (x1:(Xw (fun (Xx0:a)=> False))) (x2:(forall (Xr0:(a->Prop)) (Xx0:a), ((Xw Xr0)->(Xw (fun (Xt:a)=> ((or (Xr0 Xt)) (((eq a) Xt) Xx0)))))))=> (((x2 Xr) Xx) ((x Xw) x0))))) as proof of (forall (Xx:a), ((forall (Xw:((a->Prop)->Prop)), (((and (Xw (fun (Xx0:a)=> False))) (forall (Xr0:(a->Prop)) (Xx0:a), ((Xw Xr0)->(Xw (fun (Xt:a)=> ((or (Xr0 Xt)) (((eq a) Xt) Xx0)))))))->(Xw Xr)))->(forall (Xw:((a->Prop)->Prop)), (((and (Xw (fun (Xx0:a)=> False))) (forall (Xr0:(a->Prop)) (Xx0:a), ((Xw Xr0)->(Xw (fun (Xt:a)=> ((or (Xr0 Xt)) (((eq a) Xt) Xx0)))))))->(Xw (fun (Xt:a)=> ((or (Xr Xt)) (((eq a) Xt) Xx)))))))) % Found (fun (Xr:(a->Prop)) (Xx:a) (x:(forall (Xw:((a->Prop)->Prop)), (((and (Xw (fun (Xx0:a)=> False))) (forall (Xr0:(a->Prop)) (Xx0:a), ((Xw Xr0)->(Xw (fun (Xt:a)=> ((or (Xr0 Xt)) (((eq a) Xt) Xx0)))))))->(Xw Xr)))) (Xw:((a->Prop)->Prop)) (x0:((and (Xw (fun (Xx0:a)=> False))) (forall (Xr0:(a->Prop)) (Xx0:a), ((Xw Xr0)->(Xw (fun (Xt:a)=> ((or (Xr0 Xt)) (((eq a) Xt) Xx0))))))))=> (((fun (P:Type) (x1:((Xw (fun (Xx0:a)=> False))->((forall (Xr0:(a->Prop)) (Xx0:a), ((Xw Xr0)->(Xw (fun (Xt:a)=> ((or (Xr0 Xt)) (((eq a) Xt) Xx0))))))->P)))=> (((((and_rect (Xw (fun (Xx0:a)=> False))) (forall (Xr0:(a->Prop)) (Xx0:a), ((Xw Xr0)->(Xw (fun (Xt:a)=> ((or (Xr0 Xt)) (((eq a) Xt) Xx0))))))) P) x1) x0)) (Xw (fun (Xt:a)=> ((or (Xr Xt)) (((eq a) Xt) Xx))))) (fun (x1:(Xw (fun (Xx0:a)=> False))) (x2:(forall (Xr0:(a->Prop)) (Xx0:a), ((Xw Xr0)->(Xw (fun (Xt:a)=> ((or (Xr0 Xt)) (((eq a) Xt) Xx0)))))))=> (((x2 Xr) Xx) ((x Xw) x0))))) as proof of (forall (Xr:(a->Prop)) (Xx:a), ((forall (Xw:((a->Prop)->Prop)), (((and (Xw (fun (Xx0:a)=> False))) (forall (Xr0:(a->Prop)) (Xx0:a), ((Xw Xr0)->(Xw (fun (Xt:a)=> ((or (Xr0 Xt)) (((eq a) Xt) Xx0)))))))->(Xw Xr)))->(forall (Xw:((a->Prop)->Prop)), (((and (Xw (fun (Xx0:a)=> False))) (forall (Xr0:(a->Prop)) (Xx0:a), ((Xw Xr0)->(Xw (fun (Xt:a)=> ((or (Xr0 Xt)) (((eq a) Xt) Xx0)))))))->(Xw (fun (Xt:a)=> ((or (Xr Xt)) (((eq a) Xt) Xx)))))))) % Got proof (fun (Xr:(a->Prop)) (Xx:a) (x:(forall (Xw:((a->Prop)->Prop)), (((and (Xw (fun (Xx0:a)=> False))) (forall (Xr0:(a->Prop)) (Xx0:a), ((Xw Xr0)->(Xw (fun (Xt:a)=> ((or (Xr0 Xt)) (((eq a) Xt) Xx0)))))))->(Xw Xr)))) (Xw:((a->Prop)->Prop)) (x0:((and (Xw (fun (Xx0:a)=> False))) (forall (Xr0:(a->Prop)) (Xx0:a), ((Xw Xr0)->(Xw (fun (Xt:a)=> ((or (Xr0 Xt)) (((eq a) Xt) Xx0))))))))=> (((fun (P:Type) (x1:((Xw (fun (Xx0:a)=> False))->((forall (Xr0:(a->Prop)) (Xx0:a), ((Xw Xr0)->(Xw (fun (Xt:a)=> ((or (Xr0 Xt)) (((eq a) Xt) Xx0))))))->P)))=> (((((and_rect (Xw (fun (Xx0:a)=> False))) (forall (Xr0:(a->Prop)) (Xx0:a), ((Xw Xr0)->(Xw (fun (Xt:a)=> ((or (Xr0 Xt)) (((eq a) Xt) Xx0))))))) P) x1) x0)) (Xw (fun (Xt:a)=> ((or (Xr Xt)) (((eq a) Xt) Xx))))) (fun (x1:(Xw (fun (Xx0:a)=> False))) (x2:(forall (Xr0:(a->Prop)) (Xx0:a), ((Xw Xr0)->(Xw (fun (Xt:a)=> ((or (Xr0 Xt)) (((eq a) Xt) Xx0)))))))=> (((x2 Xr) Xx) ((x Xw) x0))))) % Time elapsed = 1.569490s % node=151 cost=270.000000 depth=17 % :::::::::::::::::::::: % % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p % (fun (Xr:(a->Prop)) (Xx:a) (x:(forall (Xw:((a->Prop)->Prop)), (((and (Xw (fun (Xx0:a)=> False))) (forall (Xr0:(a->Prop)) (Xx0:a), ((Xw Xr0)->(Xw (fun (Xt:a)=> ((or (Xr0 Xt)) (((eq a) Xt) Xx0)))))))->(Xw Xr)))) (Xw:((a->Prop)->Prop)) (x0:((and (Xw (fun (Xx0:a)=> False))) (forall (Xr0:(a->Prop)) (Xx0:a), ((Xw Xr0)->(Xw (fun (Xt:a)=> ((or (Xr0 Xt)) (((eq a) Xt) Xx0))))))))=> (((fun (P:Type) (x1:((Xw (fun (Xx0:a)=> False))->((forall (Xr0:(a->Prop)) (Xx0:a), ((Xw Xr0)->(Xw (fun (Xt:a)=> ((or (Xr0 Xt)) (((eq a) Xt) Xx0))))))->P)))=> (((((and_rect (Xw (fun (Xx0:a)=> False))) (forall (Xr0:(a->Prop)) (Xx0:a), ((Xw Xr0)->(Xw (fun (Xt:a)=> ((or (Xr0 Xt)) (((eq a) Xt) Xx0))))))) P) x1) x0)) (Xw (fun (Xt:a)=> ((or (Xr Xt)) (((eq a) Xt) Xx))))) (fun (x1:(Xw (fun (Xx0:a)=> False))) (x2:(forall (Xr0:(a->Prop)) (Xx0:a), ((Xw Xr0)->(Xw (fun (Xt:a)=> ((or (Xr0 Xt)) (((eq a) Xt) Xx0)))))))=> (((x2 Xr) Xx) ((x Xw) x0))))) % % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p % EOF %------------------------------------------------------------------------------