%------------------------------------------------------------------------------ % File : cocATP---0.2.0 % Problem : SEU775^2 : 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 13:33:05 EDT 2014 % Result : Theorem 0.44s % Output : Proof 0.44s % Verified : % SZS Type : None (Parsing solution fails) % Syntax : Number of formulae : 0 % Comments : %------------------------------------------------------------------------------ %----ERROR: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % % Problem : SEU775^2 : 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 11:26:46 CDT 2014 % % CPUTime : 0.44 % 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 0xebab90>, <kernel.DependentProduct object at 0xebac68>) of role type named in_type % Using role type % Declaring in:(fofType->(fofType->Prop)) % FOF formula (<kernel.Constant object at 0x1098290>, <kernel.DependentProduct object at 0xebac68>) of role type named subset_type % Using role type % Declaring subset:(fofType->(fofType->Prop)) % FOF formula (<kernel.Constant object at 0xeba6c8>, <kernel.DependentProduct object at 0xebaa70>) of role type named kpair_type % Using role type % Declaring kpair:(fofType->(fofType->fofType)) % FOF formula (<kernel.Constant object at 0xebabd8>, <kernel.DependentProduct object at 0xebaab8>) of role type named cartprod_type % Using role type % Declaring cartprod:(fofType->(fofType->fofType)) % FOF formula (<kernel.Constant object at 0xeba998>, <kernel.DependentProduct object at 0xeba6c8>) 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 0xeba6c8>, <kernel.DependentProduct object at 0xebac68>) of role type named dpsetconstr_type % Using role type % Declaring dpsetconstr:(fofType->(fofType->((fofType->(fofType->Prop))->fofType))) % FOF formula (<kernel.Constant object at 0xebaa70>, <kernel.DependentProduct object at 0xeba5a8>) 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 0xeba5a8>, <kernel.Sort object at 0x1168b90>) of role type named setOfPairsIsBReln1_type % Using role type % Declaring setOfPairsIsBReln1:Prop % FOF formula (((eq Prop) setOfPairsIsBReln1) (forall (A:fofType) (Xphi:(fofType->(fofType->Prop))), ((breln1 A) (((dpsetconstr A) A) (fun (Xx:fofType) (Xy:fofType)=> ((Xphi Xx) Xy)))))) of role definition named setOfPairsIsBReln1 % A new definition: (((eq Prop) setOfPairsIsBReln1) (forall (A:fofType) (Xphi:(fofType->(fofType->Prop))), ((breln1 A) (((dpsetconstr A) A) (fun (Xx:fofType) (Xy:fofType)=> ((Xphi Xx) Xy)))))) % Defined: setOfPairsIsBReln1:=(forall (A:fofType) (Xphi:(fofType->(fofType->Prop))), ((breln1 A) (((dpsetconstr A) A) (fun (Xx:fofType) (Xy:fofType)=> ((Xphi Xx) Xy))))) % FOF formula (<kernel.Constant object at 0xda3f80>, <kernel.DependentProduct object at 0xeba950>) 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 (setOfPairsIsBReln1->(forall (A:fofType) (R:fofType), (((breln1 A) R)->((breln1 A) ((breln1invset A) R))))) of role conjecture named breln1invprop % Conjecture to prove = (setOfPairsIsBReln1->(forall (A:fofType) (R:fofType), (((breln1 A) R)->((breln1 A) ((breln1invset A) R))))):Prop % Parameter fofType_DUMMY:fofType. % We need to prove ['(setOfPairsIsBReln1->(forall (A:fofType) (R:fofType), (((breln1 A) R)->((breln1 A) ((breln1invset A) 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 breln1:=(fun (A:fofType) (R:fofType)=> (((breln A) A) R)):(fofType->(fofType->Prop)). % Definition setOfPairsIsBReln1:=(forall (A:fofType) (Xphi:(fofType->(fofType->Prop))), ((breln1 A) (((dpsetconstr A) A) (fun (Xx:fofType) (Xy:fofType)=> ((Xphi Xx) Xy))))):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 (setOfPairsIsBReln1->(forall (A:fofType) (R:fofType), (((breln1 A) R)->((breln1 A) ((breln1invset A) R))))) % Found x10:=(x1 (fun (x5:fofType) (x40:fofType)=> ((in ((kpair x40) x5)) R))):((breln1 A) (((dpsetconstr A) A) (fun (Xx:fofType) (Xy:fofType)=> ((in ((kpair Xy) Xx)) R)))) % Found (x1 (fun (x5:fofType) (x40:fofType)=> ((in ((kpair x40) x5)) R))) as proof of ((breln1 A) ((breln1invset A) R)) % Found ((x A) (fun (x5:fofType) (x40:fofType)=> ((in ((kpair x40) x5)) R))) as proof of ((breln1 A) ((breln1invset A) R)) % Found (fun (x0:((breln1 A) R))=> ((x A) (fun (x5:fofType) (x40:fofType)=> ((in ((kpair x40) x5)) R)))) as proof of ((breln1 A) ((breln1invset A) R)) % Found (fun (R:fofType) (x0:((breln1 A) R))=> ((x A) (fun (x5:fofType) (x40:fofType)=> ((in ((kpair x40) x5)) R)))) as proof of (((breln1 A) R)->((breln1 A) ((breln1invset A) R))) % Found (fun (A:fofType) (R:fofType) (x0:((breln1 A) R))=> ((x A) (fun (x5:fofType) (x40:fofType)=> ((in ((kpair x40) x5)) R)))) as proof of (forall (R:fofType), (((breln1 A) R)->((breln1 A) ((breln1invset A) R)))) % Found (fun (x:setOfPairsIsBReln1) (A:fofType) (R:fofType) (x0:((breln1 A) R))=> ((x A) (fun (x5:fofType) (x40:fofType)=> ((in ((kpair x40) x5)) R)))) as proof of (forall (A:fofType) (R:fofType), (((breln1 A) R)->((breln1 A) ((breln1invset A) R)))) % Found (fun (x:setOfPairsIsBReln1) (A:fofType) (R:fofType) (x0:((breln1 A) R))=> ((x A) (fun (x5:fofType) (x40:fofType)=> ((in ((kpair x40) x5)) R)))) as proof of (setOfPairsIsBReln1->(forall (A:fofType) (R:fofType), (((breln1 A) R)->((breln1 A) ((breln1invset A) R))))) % Got proof (fun (x:setOfPairsIsBReln1) (A:fofType) (R:fofType) (x0:((breln1 A) R))=> ((x A) (fun (x5:fofType) (x40:fofType)=> ((in ((kpair x40) x5)) R)))) % Time elapsed = 0.105686s % node=8 cost=-171.000000 depth=6 % :::::::::::::::::::::: % % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p % (fun (x:setOfPairsIsBReln1) (A:fofType) (R:fofType) (x0:((breln1 A) R))=> ((x A) (fun (x5:fofType) (x40:fofType)=> ((in ((kpair x40) x5)) R)))) % % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p % EOF %------------------------------------------------------------------------------