%------------------------------------------------------------------------------ % File : cocATP---0.2.0 % Problem : SEU741^2 : TPTP v6.1.0. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p % Computer : n189.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 13:32:59 EDT 2014 % Result : Theorem 0.54s % Output : Proof 0.54s % Verified : % SZS Type : None (Parsing solution fails) % Syntax : Number of formulae : 0 % Comments : %------------------------------------------------------------------------------ %----ERROR: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % % Problem : SEU741^2 : TPTP v6.1.0. Released v3.7.0. % % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p % % Computer : n189.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 11:21:06 CDT 2014 % % CPUTime : 0.54 % 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 0x11b25f0>, <kernel.DependentProduct object at 0x11b2ab8>) of role type named in_type % Using role type % Declaring in:(fofType->(fofType->Prop)) % FOF formula (<kernel.Constant object at 0x1390440>, <kernel.DependentProduct object at 0x11b2518>) of role type named powerset_type % Using role type % Declaring powerset:(fofType->fofType) % FOF formula (<kernel.Constant object at 0x11b25a8>, <kernel.DependentProduct object at 0x11b28c0>) of role type named binunion_type % Using role type % Declaring binunion:(fofType->(fofType->fofType)) % FOF formula (<kernel.Constant object at 0x11b2830>, <kernel.Sort object at 0x1092ab8>) of role type named binunionIL_type % Using role type % Declaring binunionIL:Prop % FOF formula (((eq Prop) binunionIL) (forall (A:fofType) (B:fofType) (Xx:fofType), (((in Xx) A)->((in Xx) ((binunion A) B))))) of role definition named binunionIL % A new definition: (((eq Prop) binunionIL) (forall (A:fofType) (B:fofType) (Xx:fofType), (((in Xx) A)->((in Xx) ((binunion A) B))))) % Defined: binunionIL:=(forall (A:fofType) (B:fofType) (Xx:fofType), (((in Xx) A)->((in Xx) ((binunion A) B)))) % FOF formula (<kernel.Constant object at 0x1608b00>, <kernel.DependentProduct object at 0x11b2cb0>) of role type named binintersect_type % Using role type % Declaring binintersect:(fofType->(fofType->fofType)) % FOF formula (<kernel.Constant object at 0x11b2758>, <kernel.Sort object at 0x1092ab8>) of role type named binintersectER_type % Using role type % Declaring binintersectER:Prop % FOF formula (((eq Prop) binintersectER) (forall (A:fofType) (B:fofType) (Xx:fofType), (((in Xx) ((binintersect A) B))->((in Xx) B)))) of role definition named binintersectER % A new definition: (((eq Prop) binintersectER) (forall (A:fofType) (B:fofType) (Xx:fofType), (((in Xx) ((binintersect A) B))->((in Xx) B)))) % Defined: binintersectER:=(forall (A:fofType) (B:fofType) (Xx:fofType), (((in Xx) ((binintersect A) B))->((in Xx) B))) % FOF formula (binunionIL->(binintersectER->(forall (A:fofType) (X:fofType), (((in X) (powerset A))->(forall (Y:fofType), (((in Y) (powerset A))->(forall (Z:fofType), (((in Z) (powerset A))->(forall (Xx:fofType), (((in Xx) A)->(((in Xx) ((binintersect X) Y))->((in Xx) ((binunion Y) Z))))))))))))) of role conjecture named inIntersectImpInUnion2 % Conjecture to prove = (binunionIL->(binintersectER->(forall (A:fofType) (X:fofType), (((in X) (powerset A))->(forall (Y:fofType), (((in Y) (powerset A))->(forall (Z:fofType), (((in Z) (powerset A))->(forall (Xx:fofType), (((in Xx) A)->(((in Xx) ((binintersect X) Y))->((in Xx) ((binunion Y) Z))))))))))))):Prop % Parameter fofType_DUMMY:fofType. % We need to prove ['(binunionIL->(binintersectER->(forall (A:fofType) (X:fofType), (((in X) (powerset A))->(forall (Y:fofType), (((in Y) (powerset A))->(forall (Z:fofType), (((in Z) (powerset A))->(forall (Xx:fofType), (((in Xx) A)->(((in Xx) ((binintersect X) Y))->((in Xx) ((binunion Y) Z)))))))))))))'] % Parameter fofType:Type. % Parameter in:(fofType->(fofType->Prop)). % Parameter powerset:(fofType->fofType). % Parameter binunion:(fofType->(fofType->fofType)). % Definition binunionIL:=(forall (A:fofType) (B:fofType) (Xx:fofType), (((in Xx) A)->((in Xx) ((binunion A) B)))):Prop. % Parameter binintersect:(fofType->(fofType->fofType)). % Definition binintersectER:=(forall (A:fofType) (B:fofType) (Xx:fofType), (((in Xx) ((binintersect A) B))->((in Xx) B))):Prop. % Trying to prove (binunionIL->(binintersectER->(forall (A:fofType) (X:fofType), (((in X) (powerset A))->(forall (Y:fofType), (((in Y) (powerset A))->(forall (Z:fofType), (((in Z) (powerset A))->(forall (Xx:fofType), (((in Xx) A)->(((in Xx) ((binintersect X) Y))->((in Xx) ((binunion Y) Z))))))))))))) % Found x00000:=(x0000 x5):((in Xx) Y) % Found (x0000 x5) as proof of ((in Xx) Y) % Found ((x000 X) x5) as proof of ((in Xx) Y) % Found (((fun (A0:fofType)=> ((x00 A0) Xx)) X) x5) as proof of ((in Xx) Y) % Found (((fun (A0:fofType)=> (((fun (A0:fofType)=> ((x0 A0) Y)) A0) Xx)) X) x5) as proof of ((in Xx) Y) % Found (((fun (A0:fofType)=> (((fun (A0:fofType)=> ((x0 A0) Y)) A0) Xx)) X) x5) as proof of ((in Xx) Y) % Found (x600 (((fun (A0:fofType)=> (((fun (A0:fofType)=> ((x0 A0) Y)) A0) Xx)) X) x5)) as proof of ((in Xx) ((binunion Y) Z)) % Found ((x60 Xx) (((fun (A0:fofType)=> (((fun (A0:fofType)=> ((x0 A0) Y)) A0) Xx)) X) x5)) as proof of ((in Xx) ((binunion Y) Z)) % Found (((x6 Z) Xx) (((fun (A0:fofType)=> (((fun (A0:fofType)=> ((x0 A0) Y)) A0) Xx)) X) x5)) as proof of ((in Xx) ((binunion Y) Z)) % Found ((((x Y) Z) Xx) (((fun (A0:fofType)=> (((fun (A0:fofType)=> ((x0 A0) Y)) A0) Xx)) X) x5)) as proof of ((in Xx) ((binunion Y) Z)) % Found (fun (x5:((in Xx) ((binintersect X) Y)))=> ((((x Y) Z) Xx) (((fun (A0:fofType)=> (((fun (A0:fofType)=> ((x0 A0) Y)) A0) Xx)) X) x5))) as proof of ((in Xx) ((binunion Y) Z)) % Found (fun (x4:((in Xx) A)) (x5:((in Xx) ((binintersect X) Y)))=> ((((x Y) Z) Xx) (((fun (A0:fofType)=> (((fun (A0:fofType)=> ((x0 A0) Y)) A0) Xx)) X) x5))) as proof of (((in Xx) ((binintersect X) Y))->((in Xx) ((binunion Y) Z))) % Found (fun (Xx:fofType) (x4:((in Xx) A)) (x5:((in Xx) ((binintersect X) Y)))=> ((((x Y) Z) Xx) (((fun (A0:fofType)=> (((fun (A0:fofType)=> ((x0 A0) Y)) A0) Xx)) X) x5))) as proof of (((in Xx) A)->(((in Xx) ((binintersect X) Y))->((in Xx) ((binunion Y) Z)))) % Found (fun (x3:((in Z) (powerset A))) (Xx:fofType) (x4:((in Xx) A)) (x5:((in Xx) ((binintersect X) Y)))=> ((((x Y) Z) Xx) (((fun (A0:fofType)=> (((fun (A0:fofType)=> ((x0 A0) Y)) A0) Xx)) X) x5))) as proof of (forall (Xx:fofType), (((in Xx) A)->(((in Xx) ((binintersect X) Y))->((in Xx) ((binunion Y) Z))))) % Found (fun (Z:fofType) (x3:((in Z) (powerset A))) (Xx:fofType) (x4:((in Xx) A)) (x5:((in Xx) ((binintersect X) Y)))=> ((((x Y) Z) Xx) (((fun (A0:fofType)=> (((fun (A0:fofType)=> ((x0 A0) Y)) A0) Xx)) X) x5))) as proof of (((in Z) (powerset A))->(forall (Xx:fofType), (((in Xx) A)->(((in Xx) ((binintersect X) Y))->((in Xx) ((binunion Y) Z)))))) % Found (fun (x2:((in Y) (powerset A))) (Z:fofType) (x3:((in Z) (powerset A))) (Xx:fofType) (x4:((in Xx) A)) (x5:((in Xx) ((binintersect X) Y)))=> ((((x Y) Z) Xx) (((fun (A0:fofType)=> (((fun (A0:fofType)=> ((x0 A0) Y)) A0) Xx)) X) x5))) as proof of (forall (Z:fofType), (((in Z) (powerset A))->(forall (Xx:fofType), (((in Xx) A)->(((in Xx) ((binintersect X) Y))->((in Xx) ((binunion Y) Z))))))) % Found (fun (Y:fofType) (x2:((in Y) (powerset A))) (Z:fofType) (x3:((in Z) (powerset A))) (Xx:fofType) (x4:((in Xx) A)) (x5:((in Xx) ((binintersect X) Y)))=> ((((x Y) Z) Xx) (((fun (A0:fofType)=> (((fun (A0:fofType)=> ((x0 A0) Y)) A0) Xx)) X) x5))) as proof of (((in Y) (powerset A))->(forall (Z:fofType), (((in Z) (powerset A))->(forall (Xx:fofType), (((in Xx) A)->(((in Xx) ((binintersect X) Y))->((in Xx) ((binunion Y) Z)))))))) % Found (fun (x1:((in X) (powerset A))) (Y:fofType) (x2:((in Y) (powerset A))) (Z:fofType) (x3:((in Z) (powerset A))) (Xx:fofType) (x4:((in Xx) A)) (x5:((in Xx) ((binintersect X) Y)))=> ((((x Y) Z) Xx) (((fun (A0:fofType)=> (((fun (A0:fofType)=> ((x0 A0) Y)) A0) Xx)) X) x5))) as proof of (forall (Y:fofType), (((in Y) (powerset A))->(forall (Z:fofType), (((in Z) (powerset A))->(forall (Xx:fofType), (((in Xx) A)->(((in Xx) ((binintersect X) Y))->((in Xx) ((binunion Y) Z))))))))) % Found (fun (X:fofType) (x1:((in X) (powerset A))) (Y:fofType) (x2:((in Y) (powerset A))) (Z:fofType) (x3:((in Z) (powerset A))) (Xx:fofType) (x4:((in Xx) A)) (x5:((in Xx) ((binintersect X) Y)))=> ((((x Y) Z) Xx) (((fun (A0:fofType)=> (((fun (A0:fofType)=> ((x0 A0) Y)) A0) Xx)) X) x5))) as proof of (((in X) (powerset A))->(forall (Y:fofType), (((in Y) (powerset A))->(forall (Z:fofType), (((in Z) (powerset A))->(forall (Xx:fofType), (((in Xx) A)->(((in Xx) ((binintersect X) Y))->((in Xx) ((binunion Y) Z)))))))))) % Found (fun (A:fofType) (X:fofType) (x1:((in X) (powerset A))) (Y:fofType) (x2:((in Y) (powerset A))) (Z:fofType) (x3:((in Z) (powerset A))) (Xx:fofType) (x4:((in Xx) A)) (x5:((in Xx) ((binintersect X) Y)))=> ((((x Y) Z) Xx) (((fun (A0:fofType)=> (((fun (A0:fofType)=> ((x0 A0) Y)) A0) Xx)) X) x5))) as proof of (forall (X:fofType), (((in X) (powerset A))->(forall (Y:fofType), (((in Y) (powerset A))->(forall (Z:fofType), (((in Z) (powerset A))->(forall (Xx:fofType), (((in Xx) A)->(((in Xx) ((binintersect X) Y))->((in Xx) ((binunion Y) Z))))))))))) % Found (fun (x0:binintersectER) (A:fofType) (X:fofType) (x1:((in X) (powerset A))) (Y:fofType) (x2:((in Y) (powerset A))) (Z:fofType) (x3:((in Z) (powerset A))) (Xx:fofType) (x4:((in Xx) A)) (x5:((in Xx) ((binintersect X) Y)))=> ((((x Y) Z) Xx) (((fun (A0:fofType)=> (((fun (A0:fofType)=> ((x0 A0) Y)) A0) Xx)) X) x5))) as proof of (forall (A:fofType) (X:fofType), (((in X) (powerset A))->(forall (Y:fofType), (((in Y) (powerset A))->(forall (Z:fofType), (((in Z) (powerset A))->(forall (Xx:fofType), (((in Xx) A)->(((in Xx) ((binintersect X) Y))->((in Xx) ((binunion Y) Z))))))))))) % Found (fun (x:binunionIL) (x0:binintersectER) (A:fofType) (X:fofType) (x1:((in X) (powerset A))) (Y:fofType) (x2:((in Y) (powerset A))) (Z:fofType) (x3:((in Z) (powerset A))) (Xx:fofType) (x4:((in Xx) A)) (x5:((in Xx) ((binintersect X) Y)))=> ((((x Y) Z) Xx) (((fun (A0:fofType)=> (((fun (A0:fofType)=> ((x0 A0) Y)) A0) Xx)) X) x5))) as proof of (binintersectER->(forall (A:fofType) (X:fofType), (((in X) (powerset A))->(forall (Y:fofType), (((in Y) (powerset A))->(forall (Z:fofType), (((in Z) (powerset A))->(forall (Xx:fofType), (((in Xx) A)->(((in Xx) ((binintersect X) Y))->((in Xx) ((binunion Y) Z)))))))))))) % Found (fun (x:binunionIL) (x0:binintersectER) (A:fofType) (X:fofType) (x1:((in X) (powerset A))) (Y:fofType) (x2:((in Y) (powerset A))) (Z:fofType) (x3:((in Z) (powerset A))) (Xx:fofType) (x4:((in Xx) A)) (x5:((in Xx) ((binintersect X) Y)))=> ((((x Y) Z) Xx) (((fun (A0:fofType)=> (((fun (A0:fofType)=> ((x0 A0) Y)) A0) Xx)) X) x5))) as proof of (binunionIL->(binintersectER->(forall (A:fofType) (X:fofType), (((in X) (powerset A))->(forall (Y:fofType), (((in Y) (powerset A))->(forall (Z:fofType), (((in Z) (powerset A))->(forall (Xx:fofType), (((in Xx) A)->(((in Xx) ((binintersect X) Y))->((in Xx) ((binunion Y) Z))))))))))))) % Got proof (fun (x:binunionIL) (x0:binintersectER) (A:fofType) (X:fofType) (x1:((in X) (powerset A))) (Y:fofType) (x2:((in Y) (powerset A))) (Z:fofType) (x3:((in Z) (powerset A))) (Xx:fofType) (x4:((in Xx) A)) (x5:((in Xx) ((binintersect X) Y)))=> ((((x Y) Z) Xx) (((fun (A0:fofType)=> (((fun (A0:fofType)=> ((x0 A0) Y)) A0) Xx)) X) x5))) % Time elapsed = 0.211918s % node=28 cost=686.000000 depth=21 % :::::::::::::::::::::: % % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p % (fun (x:binunionIL) (x0:binintersectER) (A:fofType) (X:fofType) (x1:((in X) (powerset A))) (Y:fofType) (x2:((in Y) (powerset A))) (Z:fofType) (x3:((in Z) (powerset A))) (Xx:fofType) (x4:((in Xx) A)) (x5:((in Xx) ((binintersect X) Y)))=> ((((x Y) Z) Xx) (((fun (A0:fofType)=> (((fun (A0:fofType)=> ((x0 A0) Y)) A0) Xx)) X) x5))) % % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p % EOF %------------------------------------------------------------------------------