%------------------------------------------------------------------------------ % File : cocATP---0.2.0 % Problem : SEU667^2 : TPTP v6.1.0. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p % Computer : n104.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 13:32:45 EDT 2014 % Result : Theorem 0.36s % Output : Proof 0.36s % Verified : % SZS Type : None (Parsing solution fails) % Syntax : Number of formulae : 0 % Comments : %------------------------------------------------------------------------------ %----ERROR: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % % Problem : SEU667^2 : TPTP v6.1.0. Released v3.7.0. % % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p % % Computer : n104.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 11:06:21 CDT 2014 % % CPUTime : 0.36 % 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 0x20cb170>, <kernel.DependentProduct object at 0x20cb7e8>) of role type named in_type % Using role type % Declaring in:(fofType->(fofType->Prop)) % FOF formula (<kernel.Constant object at 0x20cd488>, <kernel.DependentProduct object at 0x20cb5a8>) of role type named dsetconstr_type % Using role type % Declaring dsetconstr:(fofType->((fofType->Prop)->fofType)) % FOF formula (<kernel.Constant object at 0x20cd488>, <kernel.DependentProduct object at 0x20cb758>) of role type named subset_type % Using role type % Declaring subset:(fofType->(fofType->Prop)) % FOF formula (<kernel.Constant object at 0x20cbc20>, <kernel.DependentProduct object at 0x20cb7e8>) of role type named kpair_type % Using role type % Declaring kpair:(fofType->(fofType->fofType)) % FOF formula (<kernel.Constant object at 0x20cb488>, <kernel.DependentProduct object at 0x20cbb48>) of role type named cartprod_type % Using role type % Declaring cartprod:(fofType->(fofType->fofType)) % FOF formula (<kernel.Constant object at 0x1dae7e8>, <kernel.DependentProduct object at 0x20cbb48>) 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 0x20cbab8>, <kernel.DependentProduct object at 0x20cbdd0>) of role type named dpsetconstr_type % Using role type % Declaring dpsetconstr:(fofType->(fofType->((fofType->(fofType->Prop))->fofType))) % FOF formula (((eq (fofType->(fofType->((fofType->(fofType->Prop))->fofType)))) dpsetconstr) (fun (A:fofType) (B:fofType) (Xphi:(fofType->(fofType->Prop)))=> ((dsetconstr ((cartprod A) B)) (fun (Xu:fofType)=> ((ex fofType) (fun (Xx:fofType)=> ((and ((in Xx) A)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((in Xy) B)) ((Xphi Xx) Xy))) (((eq fofType) Xu) ((kpair Xx) Xy)))))))))))) of role definition named dpsetconstr % A new definition: (((eq (fofType->(fofType->((fofType->(fofType->Prop))->fofType)))) dpsetconstr) (fun (A:fofType) (B:fofType) (Xphi:(fofType->(fofType->Prop)))=> ((dsetconstr ((cartprod A) B)) (fun (Xu:fofType)=> ((ex fofType) (fun (Xx:fofType)=> ((and ((in Xx) A)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((in Xy) B)) ((Xphi Xx) Xy))) (((eq fofType) Xu) ((kpair Xx) Xy)))))))))))) % Defined: dpsetconstr:=(fun (A:fofType) (B:fofType) (Xphi:(fofType->(fofType->Prop)))=> ((dsetconstr ((cartprod A) B)) (fun (Xu:fofType)=> ((ex fofType) (fun (Xx:fofType)=> ((and ((in Xx) A)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((in Xy) B)) ((Xphi Xx) Xy))) (((eq fofType) Xu) ((kpair Xx) Xy))))))))))) % FOF formula (<kernel.Constant object at 0x20cb488>, <kernel.Sort object at 0x1dac758>) of role type named dpsetconstrSub_type % Using role type % Declaring dpsetconstrSub:Prop % FOF formula (((eq Prop) dpsetconstrSub) (forall (A:fofType) (B:fofType) (Xphi:(fofType->(fofType->Prop))), ((subset (((dpsetconstr A) B) (fun (Xx:fofType) (Xy:fofType)=> ((Xphi Xx) Xy)))) ((cartprod A) B)))) of role definition named dpsetconstrSub % A new definition: (((eq Prop) dpsetconstrSub) (forall (A:fofType) (B:fofType) (Xphi:(fofType->(fofType->Prop))), ((subset (((dpsetconstr A) B) (fun (Xx:fofType) (Xy:fofType)=> ((Xphi Xx) Xy)))) ((cartprod A) B)))) % Defined: dpsetconstrSub:=(forall (A:fofType) (B:fofType) (Xphi:(fofType->(fofType->Prop))), ((subset (((dpsetconstr A) B) (fun (Xx:fofType) (Xy:fofType)=> ((Xphi Xx) Xy)))) ((cartprod A) B))) % FOF formula (dpsetconstrSub->(forall (A:fofType) (B:fofType) (Xphi:(fofType->(fofType->Prop))), (((breln A) B) (((dpsetconstr A) B) (fun (Xx:fofType) (Xy:fofType)=> ((Xphi Xx) Xy)))))) of role conjecture named setOfPairsIsBReln % Conjecture to prove = (dpsetconstrSub->(forall (A:fofType) (B:fofType) (Xphi:(fofType->(fofType->Prop))), (((breln A) B) (((dpsetconstr A) B) (fun (Xx:fofType) (Xy:fofType)=> ((Xphi Xx) Xy)))))):Prop % Parameter fofType_DUMMY:fofType. % We need to prove ['(dpsetconstrSub->(forall (A:fofType) (B:fofType) (Xphi:(fofType->(fofType->Prop))), (((breln A) B) (((dpsetconstr A) B) (fun (Xx:fofType) (Xy:fofType)=> ((Xphi Xx) Xy))))))'] % Parameter fofType:Type. % Parameter in:(fofType->(fofType->Prop)). % Parameter dsetconstr:(fofType->((fofType->Prop)->fofType)). % 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))). % Definition dpsetconstr:=(fun (A:fofType) (B:fofType) (Xphi:(fofType->(fofType->Prop)))=> ((dsetconstr ((cartprod A) B)) (fun (Xu:fofType)=> ((ex fofType) (fun (Xx:fofType)=> ((and ((in Xx) A)) ((ex fofType) (fun (Xy:fofType)=> ((and ((and ((in Xy) B)) ((Xphi Xx) Xy))) (((eq fofType) Xu) ((kpair Xx) Xy))))))))))):(fofType->(fofType->((fofType->(fofType->Prop))->fofType))). % Definition dpsetconstrSub:=(forall (A:fofType) (B:fofType) (Xphi:(fofType->(fofType->Prop))), ((subset (((dpsetconstr A) B) (fun (Xx:fofType) (Xy:fofType)=> ((Xphi Xx) Xy)))) ((cartprod A) B))):Prop. % Trying to prove (dpsetconstrSub->(forall (A:fofType) (B:fofType) (Xphi:(fofType->(fofType->Prop))), (((breln A) B) (((dpsetconstr A) B) (fun (Xx:fofType) (Xy:fofType)=> ((Xphi Xx) Xy)))))) % Found x:dpsetconstrSub % Found (fun (x:dpsetconstrSub)=> x) as proof of (forall (A:fofType) (B:fofType) (Xphi:(fofType->(fofType->Prop))), (((breln A) B) (((dpsetconstr A) B) (fun (Xx:fofType) (Xy:fofType)=> ((Xphi Xx) Xy))))) % Found (fun (x:dpsetconstrSub)=> x) as proof of (dpsetconstrSub->(forall (A:fofType) (B:fofType) (Xphi:(fofType->(fofType->Prop))), (((breln A) B) (((dpsetconstr A) B) (fun (Xx:fofType) (Xy:fofType)=> ((Xphi Xx) Xy)))))) % Got proof (fun (x:dpsetconstrSub)=> x) % Time elapsed = 0.030126s % 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:dpsetconstrSub)=> x) % % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p % EOF %------------------------------------------------------------------------------