%------------------------------------------------------------------------------ % File : cocATP---0.2.0 % Problem : SEU614^2 : TPTP v6.1.0. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p % Computer : n094.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 13:32:36 EDT 2014 % Result : Theorem 0.78s % Output : Proof 0.78s % Verified : % SZS Type : None (Parsing solution fails) % Syntax : Number of formulae : 0 % Comments : %------------------------------------------------------------------------------ %----ERROR: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % % Problem : SEU614^2 : TPTP v6.1.0. Released v3.7.0. % % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p % % Computer : n094.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 10:53:56 CDT 2014 % % CPUTime : 0.78 % 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 0x1988b48>, <kernel.DependentProduct object at 0x1dc0c20>) of role type named in_type % Using role type % Declaring in:(fofType->(fofType->Prop)) % FOF formula (<kernel.Constant object at 0x19886c8>, <kernel.DependentProduct object at 0x1988fc8>) of role type named symdiff_type % Using role type % Declaring symdiff:(fofType->(fofType->fofType)) % FOF formula (<kernel.Constant object at 0x1988518>, <kernel.Sort object at 0x184ec20>) of role type named symdiffE_type % Using role type % Declaring symdiffE:Prop % FOF formula (((eq Prop) symdiffE) (forall (A:fofType) (B:fofType) (Xx:fofType), (((in Xx) ((symdiff A) B))->(forall (Xphi:Prop), ((((in Xx) A)->((((in Xx) B)->False)->Xphi))->(((((in Xx) A)->False)->(((in Xx) B)->Xphi))->Xphi)))))) of role definition named symdiffE % A new definition: (((eq Prop) symdiffE) (forall (A:fofType) (B:fofType) (Xx:fofType), (((in Xx) ((symdiff A) B))->(forall (Xphi:Prop), ((((in Xx) A)->((((in Xx) B)->False)->Xphi))->(((((in Xx) A)->False)->(((in Xx) B)->Xphi))->Xphi)))))) % Defined: symdiffE:=(forall (A:fofType) (B:fofType) (Xx:fofType), (((in Xx) ((symdiff A) B))->(forall (Xphi:Prop), ((((in Xx) A)->((((in Xx) B)->False)->Xphi))->(((((in Xx) A)->False)->(((in Xx) B)->Xphi))->Xphi))))) % FOF formula (symdiffE->(forall (A:fofType) (B:fofType) (Xx:fofType), (((in Xx) A)->(((in Xx) B)->(((in Xx) ((symdiff A) B))->False))))) of role conjecture named symdiffIneg1 % Conjecture to prove = (symdiffE->(forall (A:fofType) (B:fofType) (Xx:fofType), (((in Xx) A)->(((in Xx) B)->(((in Xx) ((symdiff A) B))->False))))):Prop % Parameter fofType_DUMMY:fofType. % We need to prove ['(symdiffE->(forall (A:fofType) (B:fofType) (Xx:fofType), (((in Xx) A)->(((in Xx) B)->(((in Xx) ((symdiff A) B))->False)))))'] % Parameter fofType:Type. % Parameter in:(fofType->(fofType->Prop)). % Parameter symdiff:(fofType->(fofType->fofType)). % Definition symdiffE:=(forall (A:fofType) (B:fofType) (Xx:fofType), (((in Xx) ((symdiff A) B))->(forall (Xphi:Prop), ((((in Xx) A)->((((in Xx) B)->False)->Xphi))->(((((in Xx) A)->False)->(((in Xx) B)->Xphi))->Xphi))))):Prop. % Trying to prove (symdiffE->(forall (A:fofType) (B:fofType) (Xx:fofType), (((in Xx) A)->(((in Xx) B)->(((in Xx) ((symdiff A) B))->False))))) % Found x2:((in Xx) ((symdiff A) B)) % Instantiate: A0:=A:fofType;Xx0:=Xx:fofType;B0:=B:fofType % Found x2 as proof of ((in Xx0) ((symdiff A0) B0)) % Found x4:(((in Xx0) A0)->False) % Instantiate: B0:=A0:fofType % Found (fun (x4:(((in Xx0) A0)->False))=> x4) as proof of (((in Xx0) B0)->Xphi) % Found (fun (x4:(((in Xx0) A0)->False))=> x4) as proof of ((((in Xx0) A0)->False)->(((in Xx0) B0)->Xphi)) % Found x2:((in Xx) ((symdiff A) B)) % Instantiate: A0:=A:fofType;Xx0:=Xx:fofType;B0:=B:fofType % Found x2 as proof of ((in Xx0) ((symdiff A0) B0)) % Found x4:(((in Xx0) A0)->False) % Instantiate: B0:=A0:fofType % Found (fun (x4:(((in Xx0) A0)->False))=> x4) as proof of (((in Xx0) B0)->Xphi) % Found (fun (x4:(((in Xx0) A0)->False))=> x4) as proof of ((((in Xx0) A0)->False)->(((in Xx0) B0)->Xphi)) % Found x50:=(x5 x1):False % Found (x5 x1) as proof of Xphi % Found (fun (x5:(((in Xx0) B0)->False))=> (x5 x1)) as proof of Xphi % Found (fun (x4:((in Xx0) A0)) (x5:(((in Xx0) B0)->False))=> (x5 x1)) as proof of ((((in Xx0) B0)->False)->Xphi) % Found (fun (x4:((in Xx0) A0)) (x5:(((in Xx0) B0)->False))=> (x5 x1)) as proof of (((in Xx0) A0)->((((in Xx0) B0)->False)->Xphi)) % Found x40:=(x4 x0):False % Found (x4 x0) as proof of Xphi % Found (fun (x5:((in Xx0) B0))=> (x4 x0)) as proof of Xphi % Found (fun (x4:(((in Xx0) A0)->False)) (x5:((in Xx0) B0))=> (x4 x0)) as proof of (((in Xx0) B0)->Xphi) % Found (fun (x4:(((in Xx0) A0)->False)) (x5:((in Xx0) B0))=> (x4 x0)) as proof of ((((in Xx0) A0)->False)->(((in Xx0) B0)->Xphi)) % Found (((x3000 x2) (fun (x4:((in Xx0) A0)) (x5:(((in Xx0) B0)->False))=> (x5 x1))) (fun (x4:(((in Xx0) A0)->False)) (x5:((in Xx0) B0))=> (x4 x0))) as proof of False % Found (((x3000 x2) (fun (x4:((in Xx0) A0)) (x5:(((in Xx0) B0)->False))=> (x5 x1))) (fun (x4:(((in Xx0) A0)->False)) (x5:((in Xx0) B0))=> (x4 x0))) as proof of False % Found ((((fun (x4:((in Xx0) ((symdiff A0) B0)))=> ((x300 x4) False)) x2) (fun (x4:((in Xx0) A0)) (x5:(((in Xx0) B0)->False))=> (x5 x1))) (fun (x4:(((in Xx0) A0)->False)) (x5:((in Xx0) B0))=> (x4 x0))) as proof of False % Found ((((fun (x4:((in Xx) ((symdiff A0) B0)))=> (((x30 Xx) x4) False)) x2) (fun (x4:((in Xx) A0)) (x5:(((in Xx) B0)->False))=> (x5 x1))) (fun (x4:(((in Xx) A0)->False)) (x5:((in Xx) B0))=> (x4 x0))) as proof of False % Found ((((fun (x4:((in Xx) ((symdiff A0) B)))=> ((((x3 B) Xx) x4) False)) x2) (fun (x4:((in Xx) A0)) (x5:(((in Xx) B)->False))=> (x5 x1))) (fun (x4:(((in Xx) A0)->False)) (x5:((in Xx) B))=> (x4 x0))) as proof of False % Found ((((fun (x4:((in Xx) ((symdiff A) B)))=> (((((x A) B) Xx) x4) False)) x2) (fun (x4:((in Xx) A)) (x5:(((in Xx) B)->False))=> (x5 x1))) (fun (x4:(((in Xx) A)->False)) (x5:((in Xx) B))=> (x4 x0))) as proof of False % Found (fun (x2:((in Xx) ((symdiff A) B)))=> ((((fun (x4:((in Xx) ((symdiff A) B)))=> (((((x A) B) Xx) x4) False)) x2) (fun (x4:((in Xx) A)) (x5:(((in Xx) B)->False))=> (x5 x1))) (fun (x4:(((in Xx) A)->False)) (x5:((in Xx) B))=> (x4 x0)))) as proof of False % Found (fun (x1:((in Xx) B)) (x2:((in Xx) ((symdiff A) B)))=> ((((fun (x4:((in Xx) ((symdiff A) B)))=> (((((x A) B) Xx) x4) False)) x2) (fun (x4:((in Xx) A)) (x5:(((in Xx) B)->False))=> (x5 x1))) (fun (x4:(((in Xx) A)->False)) (x5:((in Xx) B))=> (x4 x0)))) as proof of (((in Xx) ((symdiff A) B))->False) % Found (fun (x0:((in Xx) A)) (x1:((in Xx) B)) (x2:((in Xx) ((symdiff A) B)))=> ((((fun (x4:((in Xx) ((symdiff A) B)))=> (((((x A) B) Xx) x4) False)) x2) (fun (x4:((in Xx) A)) (x5:(((in Xx) B)->False))=> (x5 x1))) (fun (x4:(((in Xx) A)->False)) (x5:((in Xx) B))=> (x4 x0)))) as proof of (((in Xx) B)->(((in Xx) ((symdiff A) B))->False)) % Found (fun (Xx:fofType) (x0:((in Xx) A)) (x1:((in Xx) B)) (x2:((in Xx) ((symdiff A) B)))=> ((((fun (x4:((in Xx) ((symdiff A) B)))=> (((((x A) B) Xx) x4) False)) x2) (fun (x4:((in Xx) A)) (x5:(((in Xx) B)->False))=> (x5 x1))) (fun (x4:(((in Xx) A)->False)) (x5:((in Xx) B))=> (x4 x0)))) as proof of (((in Xx) A)->(((in Xx) B)->(((in Xx) ((symdiff A) B))->False))) % Found (fun (B:fofType) (Xx:fofType) (x0:((in Xx) A)) (x1:((in Xx) B)) (x2:((in Xx) ((symdiff A) B)))=> ((((fun (x4:((in Xx) ((symdiff A) B)))=> (((((x A) B) Xx) x4) False)) x2) (fun (x4:((in Xx) A)) (x5:(((in Xx) B)->False))=> (x5 x1))) (fun (x4:(((in Xx) A)->False)) (x5:((in Xx) B))=> (x4 x0)))) as proof of (forall (Xx:fofType), (((in Xx) A)->(((in Xx) B)->(((in Xx) ((symdiff A) B))->False)))) % Found (fun (A:fofType) (B:fofType) (Xx:fofType) (x0:((in Xx) A)) (x1:((in Xx) B)) (x2:((in Xx) ((symdiff A) B)))=> ((((fun (x4:((in Xx) ((symdiff A) B)))=> (((((x A) B) Xx) x4) False)) x2) (fun (x4:((in Xx) A)) (x5:(((in Xx) B)->False))=> (x5 x1))) (fun (x4:(((in Xx) A)->False)) (x5:((in Xx) B))=> (x4 x0)))) as proof of (forall (B:fofType) (Xx:fofType), (((in Xx) A)->(((in Xx) B)->(((in Xx) ((symdiff A) B))->False)))) % Found (fun (x:symdiffE) (A:fofType) (B:fofType) (Xx:fofType) (x0:((in Xx) A)) (x1:((in Xx) B)) (x2:((in Xx) ((symdiff A) B)))=> ((((fun (x4:((in Xx) ((symdiff A) B)))=> (((((x A) B) Xx) x4) False)) x2) (fun (x4:((in Xx) A)) (x5:(((in Xx) B)->False))=> (x5 x1))) (fun (x4:(((in Xx) A)->False)) (x5:((in Xx) B))=> (x4 x0)))) as proof of (forall (A:fofType) (B:fofType) (Xx:fofType), (((in Xx) A)->(((in Xx) B)->(((in Xx) ((symdiff A) B))->False)))) % Found (fun (x:symdiffE) (A:fofType) (B:fofType) (Xx:fofType) (x0:((in Xx) A)) (x1:((in Xx) B)) (x2:((in Xx) ((symdiff A) B)))=> ((((fun (x4:((in Xx) ((symdiff A) B)))=> (((((x A) B) Xx) x4) False)) x2) (fun (x4:((in Xx) A)) (x5:(((in Xx) B)->False))=> (x5 x1))) (fun (x4:(((in Xx) A)->False)) (x5:((in Xx) B))=> (x4 x0)))) as proof of (symdiffE->(forall (A:fofType) (B:fofType) (Xx:fofType), (((in Xx) A)->(((in Xx) B)->(((in Xx) ((symdiff A) B))->False))))) % Got proof (fun (x:symdiffE) (A:fofType) (B:fofType) (Xx:fofType) (x0:((in Xx) A)) (x1:((in Xx) B)) (x2:((in Xx) ((symdiff A) B)))=> ((((fun (x4:((in Xx) ((symdiff A) B)))=> (((((x A) B) Xx) x4) False)) x2) (fun (x4:((in Xx) A)) (x5:(((in Xx) B)->False))=> (x5 x1))) (fun (x4:(((in Xx) A)->False)) (x5:((in Xx) B))=> (x4 x0)))) % Time elapsed = 0.455102s % node=87 cost=3618.000000 depth=17 % :::::::::::::::::::::: % % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p % (fun (x:symdiffE) (A:fofType) (B:fofType) (Xx:fofType) (x0:((in Xx) A)) (x1:((in Xx) B)) (x2:((in Xx) ((symdiff A) B)))=> ((((fun (x4:((in Xx) ((symdiff A) B)))=> (((((x A) B) Xx) x4) False)) x2) (fun (x4:((in Xx) A)) (x5:(((in Xx) B)->False))=> (x5 x1))) (fun (x4:(((in Xx) A)->False)) (x5:((in Xx) B))=> (x4 x0)))) % % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p % EOF %------------------------------------------------------------------------------