%------------------------------------------------------------------------------ % File : cocATP---0.2.0 % Problem : SEU640^2 : TPTP v6.1.0. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p % Computer : n183.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 13:32:41 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 : SEU640^2 : TPTP v6.1.0. Released v3.7.0. % % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p % % Computer : n183.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 10:59:51 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 0x231ea70>, <kernel.DependentProduct object at 0x231eea8>) of role type named in_type % Using role type % Declaring in:(fofType->(fofType->Prop)) % FOF formula (<kernel.Constant object at 0x231ecf8>, <kernel.Single object at 0x231e4d0>) of role type named emptyset_type % Using role type % Declaring emptyset:fofType % FOF formula (<kernel.Constant object at 0x231eea8>, <kernel.DependentProduct object at 0x231ec20>) of role type named setadjoin_type % Using role type % Declaring setadjoin:(fofType->(fofType->fofType)) % FOF formula (<kernel.Constant object at 0x231eb90>, <kernel.DependentProduct object at 0x231e3f8>) of role type named dsetconstr_type % Using role type % Declaring dsetconstr:(fofType->((fofType->Prop)->fofType)) % FOF formula (<kernel.Constant object at 0x231e680>, <kernel.DependentProduct object at 0x231e7a0>) of role type named singleton_type % Using role type % Declaring singleton:(fofType->Prop) % FOF formula (((eq (fofType->Prop)) singleton) (fun (A:fofType)=> ((ex fofType) (fun (Xx:fofType)=> ((and ((in Xx) A)) (((eq fofType) A) ((setadjoin Xx) emptyset))))))) of role definition named singleton % A new definition: (((eq (fofType->Prop)) singleton) (fun (A:fofType)=> ((ex fofType) (fun (Xx:fofType)=> ((and ((in Xx) A)) (((eq fofType) A) ((setadjoin Xx) emptyset))))))) % Defined: singleton:=(fun (A:fofType)=> ((ex fofType) (fun (Xx:fofType)=> ((and ((in Xx) A)) (((eq fofType) A) ((setadjoin Xx) emptyset)))))) % FOF formula (<kernel.Constant object at 0x2207c68>, <kernel.Sort object at 0x25cc878>) of role type named singletonprop_type % Using role type % Declaring singletonprop:Prop % FOF formula (((eq Prop) singletonprop) (forall (A:fofType) (Xphi:(fofType->Prop)), ((forall (Xx:fofType), (((in Xx) A)->(forall (Xy:fofType), (((in Xy) A)->((Xphi Xx)->((Xphi Xy)->(((eq fofType) Xx) Xy)))))))->(((ex fofType) (fun (Xx:fofType)=> ((and ((in Xx) A)) (Xphi Xx))))->(singleton ((dsetconstr A) (fun (Xx:fofType)=> (Xphi Xx)))))))) of role definition named singletonprop % A new definition: (((eq Prop) singletonprop) (forall (A:fofType) (Xphi:(fofType->Prop)), ((forall (Xx:fofType), (((in Xx) A)->(forall (Xy:fofType), (((in Xy) A)->((Xphi Xx)->((Xphi Xy)->(((eq fofType) Xx) Xy)))))))->(((ex fofType) (fun (Xx:fofType)=> ((and ((in Xx) A)) (Xphi Xx))))->(singleton ((dsetconstr A) (fun (Xx:fofType)=> (Xphi Xx)))))))) % Defined: singletonprop:=(forall (A:fofType) (Xphi:(fofType->Prop)), ((forall (Xx:fofType), (((in Xx) A)->(forall (Xy:fofType), (((in Xy) A)->((Xphi Xx)->((Xphi Xy)->(((eq fofType) Xx) Xy)))))))->(((ex fofType) (fun (Xx:fofType)=> ((and ((in Xx) A)) (Xphi Xx))))->(singleton ((dsetconstr A) (fun (Xx:fofType)=> (Xphi Xx))))))) % FOF formula (<kernel.Constant object at 0x2207cf8>, <kernel.DependentProduct object at 0x231e878>) of role type named ex1_type % Using role type % Declaring ex1:(fofType->((fofType->Prop)->Prop)) % FOF formula (((eq (fofType->((fofType->Prop)->Prop))) ex1) (fun (A:fofType) (Xphi:(fofType->Prop))=> (singleton ((dsetconstr A) (fun (Xx:fofType)=> (Xphi Xx)))))) of role definition named ex1 % A new definition: (((eq (fofType->((fofType->Prop)->Prop))) ex1) (fun (A:fofType) (Xphi:(fofType->Prop))=> (singleton ((dsetconstr A) (fun (Xx:fofType)=> (Xphi Xx)))))) % Defined: ex1:=(fun (A:fofType) (Xphi:(fofType->Prop))=> (singleton ((dsetconstr A) (fun (Xx:fofType)=> (Xphi Xx))))) % FOF formula (singletonprop->(forall (A:fofType) (Xphi:(fofType->Prop)), ((forall (Xx:fofType), (((in Xx) A)->(forall (Xy:fofType), (((in Xy) A)->((Xphi Xx)->((Xphi Xy)->(((eq fofType) Xx) Xy)))))))->(((ex fofType) (fun (Xx:fofType)=> ((and ((in Xx) A)) (Xphi Xx))))->((ex1 A) (fun (Xx:fofType)=> (Xphi Xx))))))) of role conjecture named ex1I2 % Conjecture to prove = (singletonprop->(forall (A:fofType) (Xphi:(fofType->Prop)), ((forall (Xx:fofType), (((in Xx) A)->(forall (Xy:fofType), (((in Xy) A)->((Xphi Xx)->((Xphi Xy)->(((eq fofType) Xx) Xy)))))))->(((ex fofType) (fun (Xx:fofType)=> ((and ((in Xx) A)) (Xphi Xx))))->((ex1 A) (fun (Xx:fofType)=> (Xphi Xx))))))):Prop % We need to prove ['(singletonprop->(forall (A:fofType) (Xphi:(fofType->Prop)), ((forall (Xx:fofType), (((in Xx) A)->(forall (Xy:fofType), (((in Xy) A)->((Xphi Xx)->((Xphi Xy)->(((eq fofType) Xx) Xy)))))))->(((ex fofType) (fun (Xx:fofType)=> ((and ((in Xx) A)) (Xphi Xx))))->((ex1 A) (fun (Xx:fofType)=> (Xphi Xx)))))))'] % Parameter fofType:Type. % Parameter in:(fofType->(fofType->Prop)). % Parameter emptyset:fofType. % Parameter setadjoin:(fofType->(fofType->fofType)). % Parameter dsetconstr:(fofType->((fofType->Prop)->fofType)). % Definition singleton:=(fun (A:fofType)=> ((ex fofType) (fun (Xx:fofType)=> ((and ((in Xx) A)) (((eq fofType) A) ((setadjoin Xx) emptyset)))))):(fofType->Prop). % Definition singletonprop:=(forall (A:fofType) (Xphi:(fofType->Prop)), ((forall (Xx:fofType), (((in Xx) A)->(forall (Xy:fofType), (((in Xy) A)->((Xphi Xx)->((Xphi Xy)->(((eq fofType) Xx) Xy)))))))->(((ex fofType) (fun (Xx:fofType)=> ((and ((in Xx) A)) (Xphi Xx))))->(singleton ((dsetconstr A) (fun (Xx:fofType)=> (Xphi Xx))))))):Prop. % Definition ex1:=(fun (A:fofType) (Xphi:(fofType->Prop))=> (singleton ((dsetconstr A) (fun (Xx:fofType)=> (Xphi Xx))))):(fofType->((fofType->Prop)->Prop)). % Trying to prove (singletonprop->(forall (A:fofType) (Xphi:(fofType->Prop)), ((forall (Xx:fofType), (((in Xx) A)->(forall (Xy:fofType), (((in Xy) A)->((Xphi Xx)->((Xphi Xy)->(((eq fofType) Xx) Xy)))))))->(((ex fofType) (fun (Xx:fofType)=> ((and ((in Xx) A)) (Xphi Xx))))->((ex1 A) (fun (Xx:fofType)=> (Xphi Xx))))))) % Found x:singletonprop % Found (fun (x:singletonprop)=> x) as proof of (forall (A:fofType) (Xphi:(fofType->Prop)), ((forall (Xx:fofType), (((in Xx) A)->(forall (Xy:fofType), (((in Xy) A)->((Xphi Xx)->((Xphi Xy)->(((eq fofType) Xx) Xy)))))))->(((ex fofType) (fun (Xx:fofType)=> ((and ((in Xx) A)) (Xphi Xx))))->((ex1 A) (fun (Xx:fofType)=> (Xphi Xx)))))) % Found (fun (x:singletonprop)=> x) as proof of (singletonprop->(forall (A:fofType) (Xphi:(fofType->Prop)), ((forall (Xx:fofType), (((in Xx) A)->(forall (Xy:fofType), (((in Xy) A)->((Xphi Xx)->((Xphi Xy)->(((eq fofType) Xx) Xy)))))))->(((ex fofType) (fun (Xx:fofType)=> ((and ((in Xx) A)) (Xphi Xx))))->((ex1 A) (fun (Xx:fofType)=> (Xphi Xx))))))) % Got proof (fun (x:singletonprop)=> x) % Time elapsed = 0.073953s % node=1 cost=3.000000 depth=1 % :::::::::::::::::::::: % % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p % (fun (x:singletonprop)=> x) % % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p % EOF %------------------------------------------------------------------------------