%------------------------------------------------------------------------------ % File : cocATP---0.2.0 % Problem : PUZ100^5 : TPTP v6.1.0. Bugfixed v5.2.0. % Transfm : none % Format : tptp:raw % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p % Computer : n097.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 13:28:59 EDT 2014 % Result : Theorem 0.35s % Output : Proof 0.35s % Verified : % SZS Type : None (Parsing solution fails) % Syntax : Number of formulae : 0 % Comments : %------------------------------------------------------------------------------ %----ERROR: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % % Problem : PUZ100^5 : TPTP v6.1.0. Bugfixed v5.2.0. % % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p % % Computer : n097.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 08:18:06 CDT 2014 % % CPUTime : 0.35 % 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 0xd26d40>, <kernel.DependentProduct object at 0xd26c68>) of role type named s_type % Using role type % Declaring s:(fofType->fofType) % FOF formula (<kernel.Constant object at 0xee95f0>, <kernel.DependentProduct object at 0xd26908>) of role type named cCKB_E2_type % Using role type % Declaring cCKB_E2:(fofType->(fofType->Prop)) % FOF formula (((eq (fofType->(fofType->Prop))) cCKB_E2) (fun (Xx:fofType) (Xy:fofType)=> (forall (Xp:(fofType->Prop)), (((and (Xp Xx)) (forall (Xu:fofType), ((Xp Xu)->(Xp (s (s Xu))))))->(Xp Xy))))) of role definition named cCKB_E2_def % A new definition: (((eq (fofType->(fofType->Prop))) cCKB_E2) (fun (Xx:fofType) (Xy:fofType)=> (forall (Xp:(fofType->Prop)), (((and (Xp Xx)) (forall (Xu:fofType), ((Xp Xu)->(Xp (s (s Xu))))))->(Xp Xy))))) % Defined: cCKB_E2:=(fun (Xx:fofType) (Xy:fofType)=> (forall (Xp:(fofType->Prop)), (((and (Xp Xx)) (forall (Xu:fofType), ((Xp Xu)->(Xp (s (s Xu))))))->(Xp Xy)))) % FOF formula (forall (Xx:fofType), ((cCKB_E2 Xx) Xx)) of role conjecture named cCKB_L32000 % Conjecture to prove = (forall (Xx:fofType), ((cCKB_E2 Xx) Xx)):Prop % Parameter fofType_DUMMY:fofType. % We need to prove ['(forall (Xx:fofType), ((cCKB_E2 Xx) Xx))'] % Parameter fofType:Type. % Parameter s:(fofType->fofType). % Definition cCKB_E2:=(fun (Xx:fofType) (Xy:fofType)=> (forall (Xp:(fofType->Prop)), (((and (Xp Xx)) (forall (Xu:fofType), ((Xp Xu)->(Xp (s (s Xu))))))->(Xp Xy)))):(fofType->(fofType->Prop)). % Trying to prove (forall (Xx:fofType), ((cCKB_E2 Xx) Xx)) % Found x0:(Xp Xx) % Found (fun (x1:(forall (Xu:fofType), ((Xp Xu)->(Xp (s (s Xu))))))=> x0) as proof of (Xp Xx) % Found (fun (x0:(Xp Xx)) (x1:(forall (Xu:fofType), ((Xp Xu)->(Xp (s (s Xu))))))=> x0) as proof of ((forall (Xu:fofType), ((Xp Xu)->(Xp (s (s Xu)))))->(Xp Xx)) % Found (fun (x0:(Xp Xx)) (x1:(forall (Xu:fofType), ((Xp Xu)->(Xp (s (s Xu))))))=> x0) as proof of ((Xp Xx)->((forall (Xu:fofType), ((Xp Xu)->(Xp (s (s Xu)))))->(Xp Xx))) % Found (and_rect00 (fun (x0:(Xp Xx)) (x1:(forall (Xu:fofType), ((Xp Xu)->(Xp (s (s Xu))))))=> x0)) as proof of (Xp Xx) % Found ((and_rect0 (Xp Xx)) (fun (x0:(Xp Xx)) (x1:(forall (Xu:fofType), ((Xp Xu)->(Xp (s (s Xu))))))=> x0)) as proof of (Xp Xx) % Found (((fun (P:Type) (x0:((Xp Xx)->((forall (Xu:fofType), ((Xp Xu)->(Xp (s (s Xu)))))->P)))=> (((((and_rect (Xp Xx)) (forall (Xu:fofType), ((Xp Xu)->(Xp (s (s Xu)))))) P) x0) x)) (Xp Xx)) (fun (x0:(Xp Xx)) (x1:(forall (Xu:fofType), ((Xp Xu)->(Xp (s (s Xu))))))=> x0)) as proof of (Xp Xx) % Found (fun (x:((and (Xp Xx)) (forall (Xu:fofType), ((Xp Xu)->(Xp (s (s Xu)))))))=> (((fun (P:Type) (x0:((Xp Xx)->((forall (Xu:fofType), ((Xp Xu)->(Xp (s (s Xu)))))->P)))=> (((((and_rect (Xp Xx)) (forall (Xu:fofType), ((Xp Xu)->(Xp (s (s Xu)))))) P) x0) x)) (Xp Xx)) (fun (x0:(Xp Xx)) (x1:(forall (Xu:fofType), ((Xp Xu)->(Xp (s (s Xu))))))=> x0))) as proof of (Xp Xx) % Found (fun (Xp:(fofType->Prop)) (x:((and (Xp Xx)) (forall (Xu:fofType), ((Xp Xu)->(Xp (s (s Xu)))))))=> (((fun (P:Type) (x0:((Xp Xx)->((forall (Xu:fofType), ((Xp Xu)->(Xp (s (s Xu)))))->P)))=> (((((and_rect (Xp Xx)) (forall (Xu:fofType), ((Xp Xu)->(Xp (s (s Xu)))))) P) x0) x)) (Xp Xx)) (fun (x0:(Xp Xx)) (x1:(forall (Xu:fofType), ((Xp Xu)->(Xp (s (s Xu))))))=> x0))) as proof of (((and (Xp Xx)) (forall (Xu:fofType), ((Xp Xu)->(Xp (s (s Xu))))))->(Xp Xx)) % Found (fun (Xx:fofType) (Xp:(fofType->Prop)) (x:((and (Xp Xx)) (forall (Xu:fofType), ((Xp Xu)->(Xp (s (s Xu)))))))=> (((fun (P:Type) (x0:((Xp Xx)->((forall (Xu:fofType), ((Xp Xu)->(Xp (s (s Xu)))))->P)))=> (((((and_rect (Xp Xx)) (forall (Xu:fofType), ((Xp Xu)->(Xp (s (s Xu)))))) P) x0) x)) (Xp Xx)) (fun (x0:(Xp Xx)) (x1:(forall (Xu:fofType), ((Xp Xu)->(Xp (s (s Xu))))))=> x0))) as proof of ((cCKB_E2 Xx) Xx) % Found (fun (Xx:fofType) (Xp:(fofType->Prop)) (x:((and (Xp Xx)) (forall (Xu:fofType), ((Xp Xu)->(Xp (s (s Xu)))))))=> (((fun (P:Type) (x0:((Xp Xx)->((forall (Xu:fofType), ((Xp Xu)->(Xp (s (s Xu)))))->P)))=> (((((and_rect (Xp Xx)) (forall (Xu:fofType), ((Xp Xu)->(Xp (s (s Xu)))))) P) x0) x)) (Xp Xx)) (fun (x0:(Xp Xx)) (x1:(forall (Xu:fofType), ((Xp Xu)->(Xp (s (s Xu))))))=> x0))) as proof of (forall (Xx:fofType), ((cCKB_E2 Xx) Xx)) % Got proof (fun (Xx:fofType) (Xp:(fofType->Prop)) (x:((and (Xp Xx)) (forall (Xu:fofType), ((Xp Xu)->(Xp (s (s Xu)))))))=> (((fun (P:Type) (x0:((Xp Xx)->((forall (Xu:fofType), ((Xp Xu)->(Xp (s (s Xu)))))->P)))=> (((((and_rect (Xp Xx)) (forall (Xu:fofType), ((Xp Xu)->(Xp (s (s Xu)))))) P) x0) x)) (Xp Xx)) (fun (x0:(Xp Xx)) (x1:(forall (Xu:fofType), ((Xp Xu)->(Xp (s (s Xu))))))=> x0))) % Time elapsed = 0.036865s % node=10 cost=79.000000 depth=9 % :::::::::::::::::::::: % % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p % (fun (Xx:fofType) (Xp:(fofType->Prop)) (x:((and (Xp Xx)) (forall (Xu:fofType), ((Xp Xu)->(Xp (s (s Xu)))))))=> (((fun (P:Type) (x0:((Xp Xx)->((forall (Xu:fofType), ((Xp Xu)->(Xp (s (s Xu)))))->P)))=> (((((and_rect (Xp Xx)) (forall (Xu:fofType), ((Xp Xu)->(Xp (s (s Xu)))))) P) x0) x)) (Xp Xx)) (fun (x0:(Xp Xx)) (x1:(forall (Xu:fofType), ((Xp Xu)->(Xp (s (s Xu))))))=> x0))) % % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p % EOF %------------------------------------------------------------------------------