%------------------------------------------------------------------------------ % File : cocATP---0.2.0 % Problem : SEU777^2 : TPTP v6.1.0. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p % Computer : 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 13:33:05 EDT 2014 % Result : Theorem 0.51s % Output : Proof 0.51s % Verified : % SZS Type : None (Parsing solution fails) % Syntax : Number of formulae : 0 % Comments : %------------------------------------------------------------------------------ %----ERROR: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % % Problem : SEU777^2 : TPTP v6.1.0. Released v3.7.0. % % 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 11:26:56 CDT 2014 % % CPUTime : 0.51 % 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 0x22acdd0>, <kernel.DependentProduct object at 0x22ac518>) of role type named in_type % Using role type % Declaring in:(fofType->(fofType->Prop)) % FOF formula (<kernel.Constant object at 0x246f560>, <kernel.DependentProduct object at 0x22ac518>) of role type named subset_type % Using role type % Declaring subset:(fofType->(fofType->Prop)) % FOF formula (<kernel.Constant object at 0x22ac368>, <kernel.DependentProduct object at 0x22acdd0>) of role type named kpair_type % Using role type % Declaring kpair:(fofType->(fofType->fofType)) % FOF formula (<kernel.Constant object at 0x22acb90>, <kernel.DependentProduct object at 0x26e61b8>) of role type named cartprod_type % Using role type % Declaring cartprod:(fofType->(fofType->fofType)) % FOF formula (<kernel.Constant object at 0x22ac518>, <kernel.DependentProduct object at 0x22ac368>) of role type named breln_type % Using role type % Declaring breln:(fofType->(fofType->(fofType->Prop))) % FOF formula (((eq (fofType->(fofType->(fofType->Prop)))) breln) (fun (A:fofType) (B:fofType) (C:fofType)=> ((subset C) ((cartprod A) B)))) of role definition named breln % A new definition: (((eq (fofType->(fofType->(fofType->Prop)))) breln) (fun (A:fofType) (B:fofType) (C:fofType)=> ((subset C) ((cartprod A) B)))) % Defined: breln:=(fun (A:fofType) (B:fofType) (C:fofType)=> ((subset C) ((cartprod A) B))) % FOF formula (<kernel.Constant object at 0x26e6b90>, <kernel.DependentProduct object at 0x22acfc8>) of role type named dpsetconstr_type % Using role type % Declaring dpsetconstr:(fofType->(fofType->((fofType->(fofType->Prop))->fofType))) % FOF formula (<kernel.Constant object at 0x26e6878>, <kernel.Sort object at 0x2177128>) of role type named dpsetconstrER_type % Using role type % Declaring dpsetconstrER:Prop % FOF formula (((eq Prop) dpsetconstrER) (forall (A:fofType) (B:fofType) (Xphi:(fofType->(fofType->Prop))) (Xx:fofType) (Xy:fofType), (((in ((kpair Xx) Xy)) (((dpsetconstr A) B) (fun (Xz:fofType) (Xu:fofType)=> ((Xphi Xz) Xu))))->((Xphi Xx) Xy)))) of role definition named dpsetconstrER % A new definition: (((eq Prop) dpsetconstrER) (forall (A:fofType) (B:fofType) (Xphi:(fofType->(fofType->Prop))) (Xx:fofType) (Xy:fofType), (((in ((kpair Xx) Xy)) (((dpsetconstr A) B) (fun (Xz:fofType) (Xu:fofType)=> ((Xphi Xz) Xu))))->((Xphi Xx) Xy)))) % Defined: dpsetconstrER:=(forall (A:fofType) (B:fofType) (Xphi:(fofType->(fofType->Prop))) (Xx:fofType) (Xy:fofType), (((in ((kpair Xx) Xy)) (((dpsetconstr A) B) (fun (Xz:fofType) (Xu:fofType)=> ((Xphi Xz) Xu))))->((Xphi Xx) Xy))) % FOF formula (<kernel.Constant object at 0x26e6878>, <kernel.DependentProduct object at 0x22ac368>) of role type named breln1_type % Using role type % Declaring breln1:(fofType->(fofType->Prop)) % FOF formula (((eq (fofType->(fofType->Prop))) breln1) (fun (A:fofType) (R:fofType)=> (((breln A) A) R))) of role definition named breln1 % A new definition: (((eq (fofType->(fofType->Prop))) breln1) (fun (A:fofType) (R:fofType)=> (((breln A) A) R))) % Defined: breln1:=(fun (A:fofType) (R:fofType)=> (((breln A) A) R)) % FOF formula (<kernel.Constant object at 0x26e6098>, <kernel.DependentProduct object at 0x22acc68>) of role type named breln1invset_type % Using role type % Declaring breln1invset:(fofType->(fofType->fofType)) % FOF formula (((eq (fofType->(fofType->fofType))) breln1invset) (fun (A:fofType) (R:fofType)=> (((dpsetconstr A) A) (fun (Xx:fofType) (Xy:fofType)=> ((in ((kpair Xy) Xx)) R))))) of role definition named breln1invset % A new definition: (((eq (fofType->(fofType->fofType))) breln1invset) (fun (A:fofType) (R:fofType)=> (((dpsetconstr A) A) (fun (Xx:fofType) (Xy:fofType)=> ((in ((kpair Xy) Xx)) R))))) % Defined: breln1invset:=(fun (A:fofType) (R:fofType)=> (((dpsetconstr A) A) (fun (Xx:fofType) (Xy:fofType)=> ((in ((kpair Xy) Xx)) R)))) % FOF formula (dpsetconstrER->(forall (A:fofType) (R:fofType), (((breln1 A) R)->(forall (Xx:fofType), (((in Xx) A)->(forall (Xy:fofType), (((in Xy) A)->(((in ((kpair Xy) Xx)) ((breln1invset A) R))->((in ((kpair Xx) Xy)) R))))))))) of role conjecture named breln1invE % Conjecture to prove = (dpsetconstrER->(forall (A:fofType) (R:fofType), (((breln1 A) R)->(forall (Xx:fofType), (((in Xx) A)->(forall (Xy:fofType), (((in Xy) A)->(((in ((kpair Xy) Xx)) ((breln1invset A) R))->((in ((kpair Xx) Xy)) R))))))))):Prop % Parameter fofType_DUMMY:fofType. % We need to prove ['(dpsetconstrER->(forall (A:fofType) (R:fofType), (((breln1 A) R)->(forall (Xx:fofType), (((in Xx) A)->(forall (Xy:fofType), (((in Xy) A)->(((in ((kpair Xy) Xx)) ((breln1invset A) R))->((in ((kpair Xx) Xy)) R)))))))))'] % Parameter fofType:Type. % Parameter in:(fofType->(fofType->Prop)). % Parameter subset:(fofType->(fofType->Prop)). % Parameter kpair:(fofType->(fofType->fofType)). % Parameter cartprod:(fofType->(fofType->fofType)). % Definition breln:=(fun (A:fofType) (B:fofType) (C:fofType)=> ((subset C) ((cartprod A) B))):(fofType->(fofType->(fofType->Prop))). % Parameter dpsetconstr:(fofType->(fofType->((fofType->(fofType->Prop))->fofType))). % Definition dpsetconstrER:=(forall (A:fofType) (B:fofType) (Xphi:(fofType->(fofType->Prop))) (Xx:fofType) (Xy:fofType), (((in ((kpair Xx) Xy)) (((dpsetconstr A) B) (fun (Xz:fofType) (Xu:fofType)=> ((Xphi Xz) Xu))))->((Xphi Xx) Xy))):Prop. % Definition breln1:=(fun (A:fofType) (R:fofType)=> (((breln A) A) R)):(fofType->(fofType->Prop)). % Definition breln1invset:=(fun (A:fofType) (R:fofType)=> (((dpsetconstr A) A) (fun (Xx:fofType) (Xy:fofType)=> ((in ((kpair Xy) Xx)) R)))):(fofType->(fofType->fofType)). % Trying to prove (dpsetconstrER->(forall (A:fofType) (R:fofType), (((breln1 A) R)->(forall (Xx:fofType), (((in Xx) A)->(forall (Xy:fofType), (((in Xy) A)->(((in ((kpair Xy) Xx)) ((breln1invset A) R))->((in ((kpair Xx) Xy)) R))))))))) % Found x30000:=(x3000 Xx):(((in ((kpair Xy) Xx)) (((dpsetconstr A) A) (fun (Xz:fofType) (Xu:fofType)=> ((in ((kpair Xu) Xz)) R))))->((in ((kpair Xx) Xy)) R)) % Found (x3000 Xx) as proof of (((in ((kpair Xy) Xx)) ((breln1invset A) R))->((in ((kpair Xx) Xy)) R)) % Found ((x300 Xy) Xx) as proof of (((in ((kpair Xy) Xx)) ((breln1invset A) R))->((in ((kpair Xx) Xy)) R)) % Found (((x30 (fun (x7:fofType) (x60:fofType)=> ((in ((kpair x60) x7)) R))) Xy) Xx) as proof of (((in ((kpair Xy) Xx)) ((breln1invset A) R))->((in ((kpair Xx) Xy)) R)) % Found ((((x3 A) (fun (x7:fofType) (x60:fofType)=> ((in ((kpair x60) x7)) R))) Xy) Xx) as proof of (((in ((kpair Xy) Xx)) ((breln1invset A) R))->((in ((kpair Xx) Xy)) R)) % Found (((((x A) A) (fun (x7:fofType) (x60:fofType)=> ((in ((kpair x60) x7)) R))) Xy) Xx) as proof of (((in ((kpair Xy) Xx)) ((breln1invset A) R))->((in ((kpair Xx) Xy)) R)) % Found (fun (x2:((in Xy) A))=> (((((x A) A) (fun (x7:fofType) (x60:fofType)=> ((in ((kpair x60) x7)) R))) Xy) Xx)) as proof of (((in ((kpair Xy) Xx)) ((breln1invset A) R))->((in ((kpair Xx) Xy)) R)) % Found (fun (Xy:fofType) (x2:((in Xy) A))=> (((((x A) A) (fun (x7:fofType) (x60:fofType)=> ((in ((kpair x60) x7)) R))) Xy) Xx)) as proof of (((in Xy) A)->(((in ((kpair Xy) Xx)) ((breln1invset A) R))->((in ((kpair Xx) Xy)) R))) % Found (fun (x1:((in Xx) A)) (Xy:fofType) (x2:((in Xy) A))=> (((((x A) A) (fun (x7:fofType) (x60:fofType)=> ((in ((kpair x60) x7)) R))) Xy) Xx)) as proof of (forall (Xy:fofType), (((in Xy) A)->(((in ((kpair Xy) Xx)) ((breln1invset A) R))->((in ((kpair Xx) Xy)) R)))) % Found (fun (Xx:fofType) (x1:((in Xx) A)) (Xy:fofType) (x2:((in Xy) A))=> (((((x A) A) (fun (x7:fofType) (x60:fofType)=> ((in ((kpair x60) x7)) R))) Xy) Xx)) as proof of (((in Xx) A)->(forall (Xy:fofType), (((in Xy) A)->(((in ((kpair Xy) Xx)) ((breln1invset A) R))->((in ((kpair Xx) Xy)) R))))) % Found (fun (x0:((breln1 A) R)) (Xx:fofType) (x1:((in Xx) A)) (Xy:fofType) (x2:((in Xy) A))=> (((((x A) A) (fun (x7:fofType) (x60:fofType)=> ((in ((kpair x60) x7)) R))) Xy) Xx)) as proof of (forall (Xx:fofType), (((in Xx) A)->(forall (Xy:fofType), (((in Xy) A)->(((in ((kpair Xy) Xx)) ((breln1invset A) R))->((in ((kpair Xx) Xy)) R)))))) % Found (fun (R:fofType) (x0:((breln1 A) R)) (Xx:fofType) (x1:((in Xx) A)) (Xy:fofType) (x2:((in Xy) A))=> (((((x A) A) (fun (x7:fofType) (x60:fofType)=> ((in ((kpair x60) x7)) R))) Xy) Xx)) as proof of (((breln1 A) R)->(forall (Xx:fofType), (((in Xx) A)->(forall (Xy:fofType), (((in Xy) A)->(((in ((kpair Xy) Xx)) ((breln1invset A) R))->((in ((kpair Xx) Xy)) R))))))) % Found (fun (A:fofType) (R:fofType) (x0:((breln1 A) R)) (Xx:fofType) (x1:((in Xx) A)) (Xy:fofType) (x2:((in Xy) A))=> (((((x A) A) (fun (x7:fofType) (x60:fofType)=> ((in ((kpair x60) x7)) R))) Xy) Xx)) as proof of (forall (R:fofType), (((breln1 A) R)->(forall (Xx:fofType), (((in Xx) A)->(forall (Xy:fofType), (((in Xy) A)->(((in ((kpair Xy) Xx)) ((breln1invset A) R))->((in ((kpair Xx) Xy)) R)))))))) % Found (fun (x:dpsetconstrER) (A:fofType) (R:fofType) (x0:((breln1 A) R)) (Xx:fofType) (x1:((in Xx) A)) (Xy:fofType) (x2:((in Xy) A))=> (((((x A) A) (fun (x7:fofType) (x60:fofType)=> ((in ((kpair x60) x7)) R))) Xy) Xx)) as proof of (forall (A:fofType) (R:fofType), (((breln1 A) R)->(forall (Xx:fofType), (((in Xx) A)->(forall (Xy:fofType), (((in Xy) A)->(((in ((kpair Xy) Xx)) ((breln1invset A) R))->((in ((kpair Xx) Xy)) R)))))))) % Found (fun (x:dpsetconstrER) (A:fofType) (R:fofType) (x0:((breln1 A) R)) (Xx:fofType) (x1:((in Xx) A)) (Xy:fofType) (x2:((in Xy) A))=> (((((x A) A) (fun (x7:fofType) (x60:fofType)=> ((in ((kpair x60) x7)) R))) Xy) Xx)) as proof of (dpsetconstrER->(forall (A:fofType) (R:fofType), (((breln1 A) R)->(forall (Xx:fofType), (((in Xx) A)->(forall (Xy:fofType), (((in Xy) A)->(((in ((kpair Xy) Xx)) ((breln1invset A) R))->((in ((kpair Xx) Xy)) R))))))))) % Got proof (fun (x:dpsetconstrER) (A:fofType) (R:fofType) (x0:((breln1 A) R)) (Xx:fofType) (x1:((in Xx) A)) (Xy:fofType) (x2:((in Xy) A))=> (((((x A) A) (fun (x7:fofType) (x60:fofType)=> ((in ((kpair x60) x7)) R))) Xy) Xx)) % Time elapsed = 0.167046s % node=15 cost=-394.000000 depth=13 % :::::::::::::::::::::: % % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p % (fun (x:dpsetconstrER) (A:fofType) (R:fofType) (x0:((breln1 A) R)) (Xx:fofType) (x1:((in Xx) A)) (Xy:fofType) (x2:((in Xy) A))=> (((((x A) A) (fun (x7:fofType) (x60:fofType)=> ((in ((kpair x60) x7)) R))) Xy) Xx)) % % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p % EOF 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