%------------------------------------------------------------------------------ % File : cocATP---0.2.0 % Problem : SEU662^2 : TPTP v6.1.0. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p % Computer : n095.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 13:32:44 EDT 2014 % Result : Theorem 0.57s % Output : Proof 0.57s % Verified : % SZS Type : None (Parsing solution fails) % Syntax : Number of formulae : 0 % Comments : %------------------------------------------------------------------------------ %----ERROR: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % % Problem : SEU662^2 : TPTP v6.1.0. Released v3.7.0. % % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p % % Computer : n095.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 11:05:11 CDT 2014 % % CPUTime : 0.57 % 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 0x1143cb0>, <kernel.DependentProduct object at 0x1143ea8>) of role type named in_type % Using role type % Declaring in:(fofType->(fofType->Prop)) % FOF formula (<kernel.Constant object at 0x1574e60>, <kernel.DependentProduct object at 0x1143ea8>) of role type named kpair_type % Using role type % Declaring kpair:(fofType->(fofType->fofType)) % FOF formula (<kernel.Constant object at 0x11437e8>, <kernel.DependentProduct object at 0x11439e0>) of role type named kfst_type % Using role type % Declaring kfst:(fofType->fofType) % FOF formula (<kernel.Constant object at 0x1143878>, <kernel.Sort object at 0x13d6878>) of role type named kfstpairEq_type % Using role type % Declaring kfstpairEq:Prop % FOF formula (((eq Prop) kfstpairEq) (forall (Xx:fofType) (Xy:fofType), (((eq fofType) (kfst ((kpair Xx) Xy))) Xx))) of role definition named kfstpairEq % A new definition: (((eq Prop) kfstpairEq) (forall (Xx:fofType) (Xy:fofType), (((eq fofType) (kfst ((kpair Xx) Xy))) Xx))) % Defined: kfstpairEq:=(forall (Xx:fofType) (Xy:fofType), (((eq fofType) (kfst ((kpair Xx) Xy))) Xx)) % FOF formula (<kernel.Constant object at 0x1143680>, <kernel.Sort object at 0x13d6878>) 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 (kfstpairEq->(cartprodmempaircEq->(forall (A:fofType) (B:fofType) (Xx:fofType), (((in Xx) A)->(forall (Xy:fofType), (((in Xy) B)->(((eq fofType) (kfst ((kpair Xx) Xy))) Xx))))))) of role conjecture named cartprodfstpairEq % Conjecture to prove = (kfstpairEq->(cartprodmempaircEq->(forall (A:fofType) (B:fofType) (Xx:fofType), (((in Xx) A)->(forall (Xy:fofType), (((in Xy) B)->(((eq fofType) (kfst ((kpair Xx) Xy))) Xx))))))):Prop % Parameter fofType_DUMMY:fofType. % We need to prove ['(kfstpairEq->(cartprodmempaircEq->(forall (A:fofType) (B:fofType) (Xx:fofType), (((in Xx) A)->(forall (Xy:fofType), (((in Xy) B)->(((eq fofType) (kfst ((kpair Xx) Xy))) Xx)))))))'] % Parameter fofType:Type. % Parameter in:(fofType->(fofType->Prop)). % Parameter kpair:(fofType->(fofType->fofType)). % Parameter kfst:(fofType->fofType). % Definition kfstpairEq:=(forall (Xx:fofType) (Xy:fofType), (((eq fofType) (kfst ((kpair Xx) Xy))) Xx)):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 (kfstpairEq->(cartprodmempaircEq->(forall (A:fofType) (B:fofType) (Xx:fofType), (((in Xx) A)->(forall (Xy:fofType), (((in Xy) B)->(((eq fofType) (kfst ((kpair Xx) Xy))) Xx))))))) % Found x30:=(x3 Xy):(((eq fofType) (kfst ((kpair Xx) Xy))) Xx) % Found (x3 Xy) as proof of (((eq fofType) (kfst ((kpair Xx) Xy))) Xx) % Found ((x Xx) Xy) as proof of (((eq fofType) (kfst ((kpair Xx) Xy))) Xx) % Found (fun (x2:((in Xy) B))=> ((x Xx) Xy)) as proof of (((eq fofType) (kfst ((kpair Xx) Xy))) Xx) % Found (fun (Xy:fofType) (x2:((in Xy) B))=> ((x Xx) Xy)) as proof of (((in Xy) B)->(((eq fofType) (kfst ((kpair Xx) Xy))) Xx)) % 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) (kfst ((kpair Xx) Xy))) Xx))) % 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) (kfst ((kpair Xx) Xy))) Xx)))) % 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) (kfst ((kpair Xx) Xy))) Xx))))) % 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) (kfst ((kpair Xx) Xy))) Xx))))) % 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) (kfst ((kpair Xx) Xy))) Xx))))) % Found (fun (x:kfstpairEq) (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) (kfst ((kpair Xx) Xy))) Xx)))))) % Found (fun (x:kfstpairEq) (x0:cartprodmempaircEq) (A:fofType) (B:fofType) (Xx:fofType) (x1:((in Xx) A)) (Xy:fofType) (x2:((in Xy) B))=> ((x Xx) Xy)) as proof of (kfstpairEq->(cartprodmempaircEq->(forall (A:fofType) (B:fofType) (Xx:fofType), (((in Xx) A)->(forall (Xy:fofType), (((in Xy) B)->(((eq fofType) (kfst ((kpair Xx) Xy))) Xx))))))) % Got proof (fun (x:kfstpairEq) (x0:cartprodmempaircEq) (A:fofType) (B:fofType) (Xx:fofType) (x1:((in Xx) A)) (Xy:fofType) (x2:((in Xy) B))=> ((x Xx) Xy)) % Time elapsed = 0.252652s % 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:kfstpairEq) (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 %------------------------------------------------------------------------------