%------------------------------------------------------------------------------ % File : cocATP---0.2.0 % Problem : SEU663^2 : TPTP v6.1.0. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p % Computer : n106.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 13:32:45 EDT 2014 % Result : Theorem 0.58s % Output : Proof 0.58s % Verified : % SZS Type : None (Parsing solution fails) % Syntax : Number of formulae : 0 % Comments : %------------------------------------------------------------------------------ %----ERROR: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % % Problem : SEU663^2 : TPTP v6.1.0. Released v3.7.0. % % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p % % Computer : n106.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 11:05:26 CDT 2014 % % CPUTime : 0.58 % 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 0x18f3bd8>, <kernel.DependentProduct object at 0x18f3368>) of role type named in_type % Using role type % Declaring in:(fofType->(fofType->Prop)) % FOF formula (<kernel.Constant object at 0x1d2def0>, <kernel.DependentProduct object at 0x18f3368>) of role type named kpair_type % Using role type % Declaring kpair:(fofType->(fofType->fofType)) % FOF formula (<kernel.Constant object at 0x18f3680>, <kernel.DependentProduct object at 0x18f37e8>) of role type named ksnd_type % Using role type % Declaring ksnd:(fofType->fofType) % FOF formula (<kernel.Constant object at 0x18f3440>, <kernel.Sort object at 0x17bb518>) of role type named ksndpairEq_type % Using role type % Declaring ksndpairEq:Prop % FOF formula (((eq Prop) ksndpairEq) (forall (Xx:fofType) (Xy:fofType), (((eq fofType) (ksnd ((kpair Xx) Xy))) Xy))) of role definition named ksndpairEq % A new definition: (((eq Prop) ksndpairEq) (forall (Xx:fofType) (Xy:fofType), (((eq fofType) (ksnd ((kpair Xx) Xy))) Xy))) % Defined: ksndpairEq:=(forall (Xx:fofType) (Xy:fofType), (((eq fofType) (ksnd ((kpair Xx) Xy))) Xy)) % FOF formula (<kernel.Constant object at 0x18f3a70>, <kernel.Sort object at 0x17bb518>) of role type named cartprodmempaircEq_type % Using role type % Declaring cartprodmempaircEq:Prop % FOF formula (((eq Prop) cartprodmempaircEq) (forall (A:fofType) (B:fofType) (Xx:fofType), (((in Xx) A)->(forall (Xy:fofType), (((in Xy) B)->(((eq fofType) ((kpair Xx) Xy)) ((kpair Xx) Xy))))))) of role definition named cartprodmempaircEq % A new definition: (((eq Prop) cartprodmempaircEq) (forall (A:fofType) (B:fofType) (Xx:fofType), (((in Xx) A)->(forall (Xy:fofType), (((in Xy) B)->(((eq fofType) ((kpair Xx) Xy)) ((kpair Xx) Xy))))))) % Defined: cartprodmempaircEq:=(forall (A:fofType) (B:fofType) (Xx:fofType), (((in Xx) A)->(forall (Xy:fofType), (((in Xy) B)->(((eq fofType) ((kpair Xx) Xy)) ((kpair Xx) Xy)))))) % FOF formula (ksndpairEq->(cartprodmempaircEq->(forall (A:fofType) (B:fofType) (Xx:fofType), (((in Xx) A)->(forall (Xy:fofType), (((in Xy) B)->(((eq fofType) (ksnd ((kpair Xx) Xy))) Xy))))))) of role conjecture named cartprodsndpairEq % Conjecture to prove = (ksndpairEq->(cartprodmempaircEq->(forall (A:fofType) (B:fofType) (Xx:fofType), (((in Xx) A)->(forall (Xy:fofType), (((in Xy) B)->(((eq fofType) (ksnd ((kpair Xx) Xy))) Xy))))))):Prop % Parameter fofType_DUMMY:fofType. % We need to prove ['(ksndpairEq->(cartprodmempaircEq->(forall (A:fofType) (B:fofType) (Xx:fofType), (((in Xx) A)->(forall (Xy:fofType), (((in Xy) B)->(((eq fofType) (ksnd ((kpair Xx) Xy))) Xy)))))))'] % Parameter fofType:Type. % Parameter in:(fofType->(fofType->Prop)). % Parameter kpair:(fofType->(fofType->fofType)). % Parameter ksnd:(fofType->fofType). % Definition ksndpairEq:=(forall (Xx:fofType) (Xy:fofType), (((eq fofType) (ksnd ((kpair Xx) Xy))) Xy)):Prop. % Definition cartprodmempaircEq:=(forall (A:fofType) (B:fofType) (Xx:fofType), (((in Xx) A)->(forall (Xy:fofType), (((in Xy) B)->(((eq fofType) ((kpair Xx) Xy)) ((kpair Xx) Xy)))))):Prop. % Trying to prove (ksndpairEq->(cartprodmempaircEq->(forall (A:fofType) (B:fofType) (Xx:fofType), (((in Xx) A)->(forall (Xy:fofType), (((in Xy) B)->(((eq fofType) (ksnd ((kpair Xx) Xy))) Xy))))))) % Found x30:=(x3 Xy):(((eq fofType) (ksnd ((kpair Xx) Xy))) Xy) % Found (x3 Xy) as proof of (((eq fofType) (ksnd ((kpair Xx) Xy))) Xy) % Found ((x Xx) Xy) as proof of (((eq fofType) (ksnd ((kpair Xx) Xy))) Xy) % Found (fun (x2:((in Xy) B))=> ((x Xx) Xy)) as proof of (((eq fofType) (ksnd ((kpair Xx) Xy))) Xy) % Found (fun (Xy:fofType) (x2:((in Xy) B))=> ((x Xx) Xy)) as proof of (((in Xy) B)->(((eq fofType) (ksnd ((kpair Xx) Xy))) Xy)) % Found (fun (x1:((in Xx) A)) (Xy:fofType) (x2:((in Xy) B))=> ((x Xx) Xy)) as proof of (forall (Xy:fofType), (((in Xy) B)->(((eq fofType) (ksnd ((kpair Xx) Xy))) Xy))) % Found (fun (Xx:fofType) (x1:((in Xx) A)) (Xy:fofType) (x2:((in Xy) B))=> ((x Xx) Xy)) as proof of (((in Xx) A)->(forall (Xy:fofType), (((in Xy) B)->(((eq fofType) (ksnd ((kpair Xx) Xy))) Xy)))) % Found (fun (B:fofType) (Xx:fofType) (x1:((in Xx) A)) (Xy:fofType) (x2:((in Xy) B))=> ((x Xx) Xy)) as proof of (forall (Xx:fofType), (((in Xx) A)->(forall (Xy:fofType), (((in Xy) B)->(((eq fofType) (ksnd ((kpair Xx) Xy))) Xy))))) % Found (fun (A:fofType) (B:fofType) (Xx:fofType) (x1:((in Xx) A)) (Xy:fofType) (x2:((in Xy) B))=> ((x Xx) Xy)) as proof of (forall (B:fofType) (Xx:fofType), (((in Xx) A)->(forall (Xy:fofType), (((in Xy) B)->(((eq fofType) (ksnd ((kpair Xx) Xy))) Xy))))) % Found (fun (x0:cartprodmempaircEq) (A:fofType) (B:fofType) (Xx:fofType) (x1:((in Xx) A)) (Xy:fofType) (x2:((in Xy) B))=> ((x Xx) Xy)) as proof of (forall (A:fofType) (B:fofType) (Xx:fofType), (((in Xx) A)->(forall (Xy:fofType), (((in Xy) B)->(((eq fofType) (ksnd ((kpair Xx) Xy))) Xy))))) % Found (fun (x:ksndpairEq) (x0:cartprodmempaircEq) (A:fofType) (B:fofType) (Xx:fofType) (x1:((in Xx) A)) (Xy:fofType) (x2:((in Xy) B))=> ((x Xx) Xy)) as proof of (cartprodmempaircEq->(forall (A:fofType) (B:fofType) (Xx:fofType), (((in Xx) A)->(forall (Xy:fofType), (((in Xy) B)->(((eq fofType) (ksnd ((kpair Xx) Xy))) Xy)))))) % Found (fun (x:ksndpairEq) (x0:cartprodmempaircEq) (A:fofType) (B:fofType) (Xx:fofType) (x1:((in Xx) A)) (Xy:fofType) (x2:((in Xy) B))=> ((x Xx) Xy)) as proof of (ksndpairEq->(cartprodmempaircEq->(forall (A:fofType) (B:fofType) (Xx:fofType), (((in Xx) A)->(forall (Xy:fofType), (((in Xy) B)->(((eq fofType) (ksnd ((kpair Xx) Xy))) Xy))))))) % Got proof (fun (x:ksndpairEq) (x0:cartprodmempaircEq) (A:fofType) (B:fofType) (Xx:fofType) (x1:((in Xx) A)) (Xy:fofType) (x2:((in Xy) B))=> ((x Xx) Xy)) % Time elapsed = 0.257631s % node=16 cost=-129.000000 depth=10 % :::::::::::::::::::::: % % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p % (fun (x:ksndpairEq) (x0:cartprodmempaircEq) (A:fofType) (B:fofType) (Xx:fofType) (x1:((in Xx) A)) (Xy:fofType) (x2:((in Xy) B))=> ((x Xx) Xy)) % % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p % EOF %------------------------------------------------------------------------------