%------------------------------------------------------------------------------ % File : cocATP---0.2.0 % Problem : SEV410^5 : TPTP v6.1.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p % Computer : n184.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 13:34:09 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 : SEV410^5 : TPTP v6.1.0. Released v4.0.0. % % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p % % Computer : n184.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 09:09:56 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 0xc88830>, <kernel.DependentProduct object at 0xc88f38>) of role type named cA % Using role type % Declaring cA:(fofType->Prop) % FOF formula (<kernel.Constant object at 0xe86200>, <kernel.DependentProduct object at 0xc88ef0>) of role type named cP % Using role type % Declaring cP:((fofType->Prop)->Prop) % FOF formula (<kernel.Constant object at 0xc88dd0>, <kernel.DependentProduct object at 0xc88c68>) of role type named cB % Using role type % Declaring cB:(fofType->Prop) % FOF formula ((cP (fun (Xx:fofType)=> ((or (cA Xx)) (cB Xx))))->((ex (fofType->Prop)) (fun (Xu:(fofType->Prop))=> ((and (cP Xu)) (forall (Xx:fofType), ((cA Xx)->(Xu Xx))))))) of role conjecture named cSV1_pme % Conjecture to prove = ((cP (fun (Xx:fofType)=> ((or (cA Xx)) (cB Xx))))->((ex (fofType->Prop)) (fun (Xu:(fofType->Prop))=> ((and (cP Xu)) (forall (Xx:fofType), ((cA Xx)->(Xu Xx))))))):Prop % Parameter fofType_DUMMY:fofType. % We need to prove ['((cP (fun (Xx:fofType)=> ((or (cA Xx)) (cB Xx))))->((ex (fofType->Prop)) (fun (Xu:(fofType->Prop))=> ((and (cP Xu)) (forall (Xx:fofType), ((cA Xx)->(Xu Xx)))))))'] % Parameter fofType:Type. % Parameter cA:(fofType->Prop). % Parameter cP:((fofType->Prop)->Prop). % Parameter cB:(fofType->Prop). % Trying to prove ((cP (fun (Xx:fofType)=> ((or (cA Xx)) (cB Xx))))->((ex (fofType->Prop)) (fun (Xu:(fofType->Prop))=> ((and (cP Xu)) (forall (Xx:fofType), ((cA Xx)->(Xu Xx))))))) % Found x:(cP (fun (Xx:fofType)=> ((or (cA Xx)) (cB Xx)))) % Instantiate: x0:=(fun (Xx:fofType)=> ((or (cA Xx)) (cB Xx))):(fofType->Prop) % Found x as proof of (cP x0) % Found x00:(cA Xx) % Instantiate: x0:=cA:(fofType->Prop) % Found (fun (x00:(cA Xx))=> x00) as proof of (x0 Xx) % Found (fun (Xx:fofType) (x00:(cA Xx))=> x00) as proof of ((cA Xx)->(x0 Xx)) % Found (fun (Xx:fofType) (x00:(cA Xx))=> x00) as proof of (forall (Xx:fofType), ((cA Xx)->(x0 Xx))) % Found or_introl00:=(or_introl0 (cB Xx)):((cA Xx)->((or (cA Xx)) (cB Xx))) % Found (or_introl0 (cB Xx)) as proof of ((cA Xx)->(x0 Xx)) % Found ((or_introl (cA Xx)) (cB Xx)) as proof of ((cA Xx)->(x0 Xx)) % Found (fun (Xx:fofType)=> ((or_introl (cA Xx)) (cB Xx))) as proof of ((cA Xx)->(x0 Xx)) % Found (fun (Xx:fofType)=> ((or_introl (cA Xx)) (cB Xx))) as proof of (forall (Xx:fofType), ((cA Xx)->(x0 Xx))) % Found ((conj00 x) (fun (Xx:fofType)=> ((or_introl (cA Xx)) (cB Xx)))) as proof of ((and (cP x0)) (forall (Xx:fofType), ((cA Xx)->(x0 Xx)))) % Found (((conj0 (forall (Xx:fofType), ((cA Xx)->(x0 Xx)))) x) (fun (Xx:fofType)=> ((or_introl (cA Xx)) (cB Xx)))) as proof of ((and (cP x0)) (forall (Xx:fofType), ((cA Xx)->(x0 Xx)))) % Found ((((conj (cP x0)) (forall (Xx:fofType), ((cA Xx)->(x0 Xx)))) x) (fun (Xx:fofType)=> ((or_introl (cA Xx)) (cB Xx)))) as proof of ((and (cP x0)) (forall (Xx:fofType), ((cA Xx)->(x0 Xx)))) % Found ((((conj (cP x0)) (forall (Xx:fofType), ((cA Xx)->(x0 Xx)))) x) (fun (Xx:fofType)=> ((or_introl (cA Xx)) (cB Xx)))) as proof of ((and (cP x0)) (forall (Xx:fofType), ((cA Xx)->(x0 Xx)))) % Found (ex_intro000 ((((conj (cP x0)) (forall (Xx:fofType), ((cA Xx)->(x0 Xx)))) x) (fun (Xx:fofType)=> ((or_introl (cA Xx)) (cB Xx))))) as proof of ((ex (fofType->Prop)) (fun (Xu:(fofType->Prop))=> ((and (cP Xu)) (forall (Xx:fofType), ((cA Xx)->(Xu Xx)))))) % Found ((ex_intro00 (fun (Xx:fofType)=> ((or (cA Xx)) (cB Xx)))) ((((conj (cP (fun (Xx:fofType)=> ((or (cA Xx)) (cB Xx))))) (forall (Xx:fofType), ((cA Xx)->((fun (Xx:fofType)=> ((or (cA Xx)) (cB Xx))) Xx)))) x) (fun (Xx:fofType)=> ((or_introl (cA Xx)) (cB Xx))))) as proof of ((ex (fofType->Prop)) (fun (Xu:(fofType->Prop))=> ((and (cP Xu)) (forall (Xx:fofType), ((cA Xx)->(Xu Xx)))))) % Found (((ex_intro0 (fun (Xu:(fofType->Prop))=> ((and (cP Xu)) (forall (Xx:fofType), ((cA Xx)->(Xu Xx)))))) (fun (Xx:fofType)=> ((or (cA Xx)) (cB Xx)))) ((((conj (cP (fun (Xx:fofType)=> ((or (cA Xx)) (cB Xx))))) (forall (Xx:fofType), ((cA Xx)->((fun (Xx:fofType)=> ((or (cA Xx)) (cB Xx))) Xx)))) x) (fun (Xx:fofType)=> ((or_introl (cA Xx)) (cB Xx))))) as proof of ((ex (fofType->Prop)) (fun (Xu:(fofType->Prop))=> ((and (cP Xu)) (forall (Xx:fofType), ((cA Xx)->(Xu Xx)))))) % Found ((((ex_intro (fofType->Prop)) (fun (Xu:(fofType->Prop))=> ((and (cP Xu)) (forall (Xx:fofType), ((cA Xx)->(Xu Xx)))))) (fun (Xx:fofType)=> ((or (cA Xx)) (cB Xx)))) ((((conj (cP (fun (Xx:fofType)=> ((or (cA Xx)) (cB Xx))))) (forall (Xx:fofType), ((cA Xx)->((fun (Xx:fofType)=> ((or (cA Xx)) (cB Xx))) Xx)))) x) (fun (Xx:fofType)=> ((or_introl (cA Xx)) (cB Xx))))) as proof of ((ex (fofType->Prop)) (fun (Xu:(fofType->Prop))=> ((and (cP Xu)) (forall (Xx:fofType), ((cA Xx)->(Xu Xx)))))) % Found (fun (x:(cP (fun (Xx:fofType)=> ((or (cA Xx)) (cB Xx)))))=> ((((ex_intro (fofType->Prop)) (fun (Xu:(fofType->Prop))=> ((and (cP Xu)) (forall (Xx:fofType), ((cA Xx)->(Xu Xx)))))) (fun (Xx:fofType)=> ((or (cA Xx)) (cB Xx)))) ((((conj (cP (fun (Xx:fofType)=> ((or (cA Xx)) (cB Xx))))) (forall (Xx:fofType), ((cA Xx)->((fun (Xx:fofType)=> ((or (cA Xx)) (cB Xx))) Xx)))) x) (fun (Xx:fofType)=> ((or_introl (cA Xx)) (cB Xx)))))) as proof of ((ex (fofType->Prop)) (fun (Xu:(fofType->Prop))=> ((and (cP Xu)) (forall (Xx:fofType), ((cA Xx)->(Xu Xx)))))) % Found (fun (x:(cP (fun (Xx:fofType)=> ((or (cA Xx)) (cB Xx)))))=> ((((ex_intro (fofType->Prop)) (fun (Xu:(fofType->Prop))=> ((and (cP Xu)) (forall (Xx:fofType), ((cA Xx)->(Xu Xx)))))) (fun (Xx:fofType)=> ((or (cA Xx)) (cB Xx)))) ((((conj (cP (fun (Xx:fofType)=> ((or (cA Xx)) (cB Xx))))) (forall (Xx:fofType), ((cA Xx)->((fun (Xx:fofType)=> ((or (cA Xx)) (cB Xx))) Xx)))) x) (fun (Xx:fofType)=> ((or_introl (cA Xx)) (cB Xx)))))) as proof of ((cP (fun (Xx:fofType)=> ((or (cA Xx)) (cB Xx))))->((ex (fofType->Prop)) (fun (Xu:(fofType->Prop))=> ((and (cP Xu)) (forall (Xx:fofType), ((cA Xx)->(Xu Xx))))))) % Got proof (fun (x:(cP (fun (Xx:fofType)=> ((or (cA Xx)) (cB Xx)))))=> ((((ex_intro (fofType->Prop)) (fun (Xu:(fofType->Prop))=> ((and (cP Xu)) (forall (Xx:fofType), ((cA Xx)->(Xu Xx)))))) (fun (Xx:fofType)=> ((or (cA Xx)) (cB Xx)))) ((((conj (cP (fun (Xx:fofType)=> ((or (cA Xx)) (cB Xx))))) (forall (Xx:fofType), ((cA Xx)->((fun (Xx:fofType)=> ((or (cA Xx)) (cB Xx))) Xx)))) x) (fun (Xx:fofType)=> ((or_introl (cA Xx)) (cB Xx)))))) % Time elapsed = 0.130022s % node=22 cost=201.000000 depth=13 % :::::::::::::::::::::: % % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p % (fun (x:(cP (fun (Xx:fofType)=> ((or (cA Xx)) (cB Xx)))))=> ((((ex_intro (fofType->Prop)) (fun (Xu:(fofType->Prop))=> ((and (cP Xu)) (forall (Xx:fofType), ((cA Xx)->(Xu Xx)))))) (fun (Xx:fofType)=> ((or (cA Xx)) (cB Xx)))) ((((conj (cP (fun (Xx:fofType)=> ((or (cA Xx)) (cB Xx))))) (forall (Xx:fofType), ((cA Xx)->((fun (Xx:fofType)=> ((or (cA Xx)) (cB Xx))) Xx)))) x) (fun (Xx:fofType)=> ((or_introl (cA Xx)) (cB Xx)))))) % % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p % EOF %------------------------------------------------------------------------------