%------------------------------------------------------------------------------ % File : cocATP---0.2.0 % Problem : SEU799^2 : TPTP v6.1.0. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p % Computer : n102.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 13:33:09 EDT 2014 % Result : Theorem 0.41s % Output : Proof 0.41s % Verified : % SZS Type : None (Parsing solution fails) % Syntax : Number of formulae : 0 % Comments : %------------------------------------------------------------------------------ %----ERROR: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % % Problem : SEU799^2 : TPTP v6.1.0. Released v3.7.0. % % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p % % Computer : n102.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 11:30:56 CDT 2014 % % CPUTime : 0.41 % 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 0x1782bd8>, <kernel.DependentProduct object at 0x1782ea8>) of role type named in_type % Using role type % Declaring in:(fofType->(fofType->Prop)) % FOF formula (<kernel.Constant object at 0x1976878>, <kernel.DependentProduct object at 0x17826c8>) of role type named dsetconstr_type % Using role type % Declaring dsetconstr:(fofType->((fofType->Prop)->fofType)) % FOF formula (<kernel.Constant object at 0x1782638>, <kernel.Sort object at 0x1661488>) of role type named dsetconstrEL_type % Using role type % Declaring dsetconstrEL:Prop % FOF formula (((eq Prop) dsetconstrEL) (forall (A:fofType) (Xphi:(fofType->Prop)) (Xx:fofType), (((in Xx) ((dsetconstr A) (fun (Xy:fofType)=> (Xphi Xy))))->((in Xx) A)))) of role definition named dsetconstrEL % A new definition: (((eq Prop) dsetconstrEL) (forall (A:fofType) (Xphi:(fofType->Prop)) (Xx:fofType), (((in Xx) ((dsetconstr A) (fun (Xy:fofType)=> (Xphi Xy))))->((in Xx) A)))) % Defined: dsetconstrEL:=(forall (A:fofType) (Xphi:(fofType->Prop)) (Xx:fofType), (((in Xx) ((dsetconstr A) (fun (Xy:fofType)=> (Xphi Xy))))->((in Xx) A))) % FOF formula (<kernel.Constant object at 0x1bbce18>, <kernel.DependentProduct object at 0x1782638>) of role type named funcSet_type % Using role type % Declaring funcSet:(fofType->(fofType->fofType)) % FOF formula (<kernel.Constant object at 0x1bbc2d8>, <kernel.DependentProduct object at 0x17827e8>) of role type named injective_type % Using role type % Declaring injective:(fofType->(fofType->(fofType->Prop))) % FOF formula (<kernel.Constant object at 0x1bbc2d8>, <kernel.DependentProduct object at 0x1782ea8>) of role type named injFuncSet_type % Using role type % Declaring injFuncSet:(fofType->(fofType->fofType)) % FOF formula (((eq (fofType->(fofType->fofType))) injFuncSet) (fun (A:fofType) (B:fofType)=> ((dsetconstr ((funcSet A) B)) (fun (Xf:fofType)=> (((injective A) B) Xf))))) of role definition named injFuncSet % A new definition: (((eq (fofType->(fofType->fofType))) injFuncSet) (fun (A:fofType) (B:fofType)=> ((dsetconstr ((funcSet A) B)) (fun (Xf:fofType)=> (((injective A) B) Xf))))) % Defined: injFuncSet:=(fun (A:fofType) (B:fofType)=> ((dsetconstr ((funcSet A) B)) (fun (Xf:fofType)=> (((injective A) B) Xf)))) % FOF formula (dsetconstrEL->(forall (A:fofType) (B:fofType) (Xf:fofType), (((in Xf) ((injFuncSet A) B))->((in Xf) ((funcSet A) B))))) of role conjecture named injFuncSetFuncIn % Conjecture to prove = (dsetconstrEL->(forall (A:fofType) (B:fofType) (Xf:fofType), (((in Xf) ((injFuncSet A) B))->((in Xf) ((funcSet A) B))))):Prop % Parameter fofType_DUMMY:fofType. % We need to prove ['(dsetconstrEL->(forall (A:fofType) (B:fofType) (Xf:fofType), (((in Xf) ((injFuncSet A) B))->((in Xf) ((funcSet A) B)))))'] % Parameter fofType:Type. % Parameter in:(fofType->(fofType->Prop)). % Parameter dsetconstr:(fofType->((fofType->Prop)->fofType)). % Definition dsetconstrEL:=(forall (A:fofType) (Xphi:(fofType->Prop)) (Xx:fofType), (((in Xx) ((dsetconstr A) (fun (Xy:fofType)=> (Xphi Xy))))->((in Xx) A))):Prop. % Parameter funcSet:(fofType->(fofType->fofType)). % Parameter injective:(fofType->(fofType->(fofType->Prop))). % Definition injFuncSet:=(fun (A:fofType) (B:fofType)=> ((dsetconstr ((funcSet A) B)) (fun (Xf:fofType)=> (((injective A) B) Xf)))):(fofType->(fofType->fofType)). % Trying to prove (dsetconstrEL->(forall (A:fofType) (B:fofType) (Xf:fofType), (((in Xf) ((injFuncSet A) B))->((in Xf) ((funcSet A) B))))) % Found x00:=(x0 ((injective A) B)):(forall (Xx:fofType), (((in Xx) ((dsetconstr ((funcSet A) B)) (fun (Xy:fofType)=> (((injective A) B) Xy))))->((in Xx) ((funcSet A) B)))) % Found (x0 ((injective A) B)) as proof of (forall (Xf:fofType), (((in Xf) ((injFuncSet A) B))->((in Xf) ((funcSet A) B)))) % Found ((x ((funcSet A) B)) ((injective A) B)) as proof of (forall (Xf:fofType), (((in Xf) ((injFuncSet A) B))->((in Xf) ((funcSet A) B)))) % Found (fun (B:fofType)=> ((x ((funcSet A) B)) ((injective A) B))) as proof of (forall (Xf:fofType), (((in Xf) ((injFuncSet A) B))->((in Xf) ((funcSet A) B)))) % Found (fun (A:fofType) (B:fofType)=> ((x ((funcSet A) B)) ((injective A) B))) as proof of (forall (B:fofType) (Xf:fofType), (((in Xf) ((injFuncSet A) B))->((in Xf) ((funcSet A) B)))) % Found (fun (x:dsetconstrEL) (A:fofType) (B:fofType)=> ((x ((funcSet A) B)) ((injective A) B))) as proof of (forall (A:fofType) (B:fofType) (Xf:fofType), (((in Xf) ((injFuncSet A) B))->((in Xf) ((funcSet A) B)))) % Found (fun (x:dsetconstrEL) (A:fofType) (B:fofType)=> ((x ((funcSet A) B)) ((injective A) B))) as proof of (dsetconstrEL->(forall (A:fofType) (B:fofType) (Xf:fofType), (((in Xf) ((injFuncSet A) B))->((in Xf) ((funcSet A) B))))) % Got proof (fun (x:dsetconstrEL) (A:fofType) (B:fofType)=> ((x ((funcSet A) B)) ((injective A) B))) % Time elapsed = 0.069652s % node=6 cost=-179.000000 depth=5 % :::::::::::::::::::::: % % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p % (fun (x:dsetconstrEL) (A:fofType) (B:fofType)=> ((x ((funcSet A) B)) ((injective A) B))) % % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p % EOF %------------------------------------------------------------------------------