%------------------------------------------------------------------------------ % File : cocATP---0.2.0 % Problem : SEU802^2 : TPTP v6.1.0. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p % Computer : n117.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 13:33:10 EDT 2014 % Result : Theorem 0.42s % Output : Proof 0.42s % Verified : % SZS Type : None (Parsing solution fails) % Syntax : Number of formulae : 0 % Comments : %------------------------------------------------------------------------------ %----ERROR: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % % Problem : SEU802^2 : TPTP v6.1.0. Released v3.7.0. % % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p % % Computer : n117.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 11:31:11 CDT 2014 % % CPUTime : 0.42 % 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 0x1da0cf8>, <kernel.DependentProduct object at 0x1da0ab8>) of role type named in_type % Using role type % Declaring in:(fofType->(fofType->Prop)) % FOF formula (<kernel.Constant object at 0x215d440>, <kernel.DependentProduct object at 0x1da0bd8>) of role type named dsetconstr_type % Using role type % Declaring dsetconstr:(fofType->((fofType->Prop)->fofType)) % FOF formula (<kernel.Constant object at 0x1da0d88>, <kernel.Sort object at 0x1c65368>) of role type named dsetconstrER_type % Using role type % Declaring dsetconstrER:Prop % FOF formula (((eq Prop) dsetconstrER) (forall (A:fofType) (Xphi:(fofType->Prop)) (Xx:fofType), (((in Xx) ((dsetconstr A) (fun (Xy:fofType)=> (Xphi Xy))))->(Xphi Xx)))) of role definition named dsetconstrER % A new definition: (((eq Prop) dsetconstrER) (forall (A:fofType) (Xphi:(fofType->Prop)) (Xx:fofType), (((in Xx) ((dsetconstr A) (fun (Xy:fofType)=> (Xphi Xy))))->(Xphi Xx)))) % Defined: dsetconstrER:=(forall (A:fofType) (Xphi:(fofType->Prop)) (Xx:fofType), (((in Xx) ((dsetconstr A) (fun (Xy:fofType)=> (Xphi Xy))))->(Xphi Xx))) % FOF formula (<kernel.Constant object at 0x1da0c68>, <kernel.DependentProduct object at 0x1da0a28>) of role type named funcSet_type % Using role type % Declaring funcSet:(fofType->(fofType->fofType)) % FOF formula (<kernel.Constant object at 0x1da0b90>, <kernel.DependentProduct object at 0x1da0cf8>) of role type named ap_type % Using role type % Declaring ap:(fofType->(fofType->(fofType->(fofType->fofType)))) % FOF formula (<kernel.Constant object at 0x1da0d88>, <kernel.DependentProduct object at 0x1da0c68>) of role type named surjective_type % Using role type % Declaring surjective:(fofType->(fofType->(fofType->Prop))) % FOF formula (((eq (fofType->(fofType->(fofType->Prop)))) surjective) (fun (A:fofType) (B:fofType) (Xf:fofType)=> (forall (Xx:fofType), (((in Xx) B)->((ex fofType) (fun (Xy:fofType)=> ((and ((in Xy) A)) (((eq fofType) ((((ap A) B) Xf) Xy)) Xx)))))))) of role definition named surjective % A new definition: (((eq (fofType->(fofType->(fofType->Prop)))) surjective) (fun (A:fofType) (B:fofType) (Xf:fofType)=> (forall (Xx:fofType), (((in Xx) B)->((ex fofType) (fun (Xy:fofType)=> ((and ((in Xy) A)) (((eq fofType) ((((ap A) B) Xf) Xy)) Xx)))))))) % Defined: surjective:=(fun (A:fofType) (B:fofType) (Xf:fofType)=> (forall (Xx:fofType), (((in Xx) B)->((ex fofType) (fun (Xy:fofType)=> ((and ((in Xy) A)) (((eq fofType) ((((ap A) B) Xf) Xy)) Xx))))))) % FOF formula (<kernel.Constant object at 0x1da0cf8>, <kernel.DependentProduct object at 0x1da0fc8>) of role type named surjFuncSet_type % Using role type % Declaring surjFuncSet:(fofType->(fofType->fofType)) % FOF formula (((eq (fofType->(fofType->fofType))) surjFuncSet) (fun (A:fofType) (B:fofType)=> ((dsetconstr ((funcSet A) B)) (fun (Xf:fofType)=> (((surjective A) B) Xf))))) of role definition named surjFuncSet % A new definition: (((eq (fofType->(fofType->fofType))) surjFuncSet) (fun (A:fofType) (B:fofType)=> ((dsetconstr ((funcSet A) B)) (fun (Xf:fofType)=> (((surjective A) B) Xf))))) % Defined: surjFuncSet:=(fun (A:fofType) (B:fofType)=> ((dsetconstr ((funcSet A) B)) (fun (Xf:fofType)=> (((surjective A) B) Xf)))) % FOF formula (dsetconstrER->(forall (Xx:fofType) (Xy:fofType) (Xf:fofType), (((in Xf) ((surjFuncSet Xx) Xy))->(((surjective Xx) Xy) Xf)))) of role conjecture named surjFuncSetFuncSurj % Conjecture to prove = (dsetconstrER->(forall (Xx:fofType) (Xy:fofType) (Xf:fofType), (((in Xf) ((surjFuncSet Xx) Xy))->(((surjective Xx) Xy) Xf)))):Prop % Parameter fofType_DUMMY:fofType. % We need to prove ['(dsetconstrER->(forall (Xx:fofType) (Xy:fofType) (Xf:fofType), (((in Xf) ((surjFuncSet Xx) Xy))->(((surjective Xx) Xy) Xf))))'] % Parameter fofType:Type. % Parameter in:(fofType->(fofType->Prop)). % Parameter dsetconstr:(fofType->((fofType->Prop)->fofType)). % Definition dsetconstrER:=(forall (A:fofType) (Xphi:(fofType->Prop)) (Xx:fofType), (((in Xx) ((dsetconstr A) (fun (Xy:fofType)=> (Xphi Xy))))->(Xphi Xx))):Prop. % Parameter funcSet:(fofType->(fofType->fofType)). % Parameter ap:(fofType->(fofType->(fofType->(fofType->fofType)))). % Definition surjective:=(fun (A:fofType) (B:fofType) (Xf:fofType)=> (forall (Xx:fofType), (((in Xx) B)->((ex fofType) (fun (Xy:fofType)=> ((and ((in Xy) A)) (((eq fofType) ((((ap A) B) Xf) Xy)) Xx))))))):(fofType->(fofType->(fofType->Prop))). % Definition surjFuncSet:=(fun (A:fofType) (B:fofType)=> ((dsetconstr ((funcSet A) B)) (fun (Xf:fofType)=> (((surjective A) B) Xf)))):(fofType->(fofType->fofType)). % Trying to prove (dsetconstrER->(forall (Xx:fofType) (Xy:fofType) (Xf:fofType), (((in Xf) ((surjFuncSet Xx) Xy))->(((surjective Xx) Xy) Xf)))) % Found x00:=(x0 ((surjective Xx) Xy)):(forall (Xx0:fofType), (((in Xx0) ((dsetconstr ((funcSet Xx) Xy)) (fun (Xy0:fofType)=> (((surjective Xx) Xy) Xy0))))->(((surjective Xx) Xy) Xx0))) % Found (x0 ((surjective Xx) Xy)) as proof of (forall (Xf:fofType), (((in Xf) ((surjFuncSet Xx) Xy))->(((surjective Xx) Xy) Xf))) % Found ((x ((funcSet Xx) Xy)) ((surjective Xx) Xy)) as proof of (forall (Xf:fofType), (((in Xf) ((surjFuncSet Xx) Xy))->(((surjective Xx) Xy) Xf))) % Found (fun (Xy:fofType)=> ((x ((funcSet Xx) Xy)) ((surjective Xx) Xy))) as proof of (forall (Xf:fofType), (((in Xf) ((surjFuncSet Xx) Xy))->(((surjective Xx) Xy) Xf))) % Found (fun (Xx:fofType) (Xy:fofType)=> ((x ((funcSet Xx) Xy)) ((surjective Xx) Xy))) as proof of (forall (Xy:fofType) (Xf:fofType), (((in Xf) ((surjFuncSet Xx) Xy))->(((surjective Xx) Xy) Xf))) % Found (fun (x:dsetconstrER) (Xx:fofType) (Xy:fofType)=> ((x ((funcSet Xx) Xy)) ((surjective Xx) Xy))) as proof of (forall (Xx:fofType) (Xy:fofType) (Xf:fofType), (((in Xf) ((surjFuncSet Xx) Xy))->(((surjective Xx) Xy) Xf))) % Found (fun (x:dsetconstrER) (Xx:fofType) (Xy:fofType)=> ((x ((funcSet Xx) Xy)) ((surjective Xx) Xy))) as proof of (dsetconstrER->(forall (Xx:fofType) (Xy:fofType) (Xf:fofType), (((in Xf) ((surjFuncSet Xx) Xy))->(((surjective Xx) Xy) Xf)))) % Got proof (fun (x:dsetconstrER) (Xx:fofType) (Xy:fofType)=> ((x ((funcSet Xx) Xy)) ((surjective Xx) Xy))) % Time elapsed = 0.092531s % 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:dsetconstrER) (Xx:fofType) (Xy:fofType)=> ((x ((funcSet Xx) Xy)) ((surjective Xx) Xy))) % % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p % EOF %------------------------------------------------------------------------------