%------------------------------------------------------------------------------ % File : cocATP---0.2.0 % Problem : PUZ088^5 : TPTP v6.1.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p % Computer : n185.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 13:28:58 EDT 2014 % Result : Theorem 0.60s % Output : Proof 0.60s % Verified : % SZS Type : None (Parsing solution fails) % Syntax : Number of formulae : 0 % Comments : %------------------------------------------------------------------------------ %----ERROR: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % % Problem : PUZ088^5 : TPTP v6.1.0. Released v4.0.0. % % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p % % Computer : n185.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 08:14:51 CDT 2014 % % CPUTime : 0.60 % 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 0x1c84638>, <kernel.DependentProduct object at 0x1c84f80>) of role type named cLIKES % Using role type % Declaring cLIKES:(fofType->(fofType->Prop)) % FOF formula (<kernel.Constant object at 0x1e471b8>, <kernel.Single object at 0x1c849e0>) of role type named cLYLE % Using role type % Declaring cLYLE:fofType % FOF formula (<kernel.Constant object at 0x1c84f80>, <kernel.Single object at 0x1c84908>) of role type named cBRUCE % Using role type % Declaring cBRUCE:fofType % FOF formula (((and (forall (X:fofType), ((cLIKES X) cBRUCE))) (forall (Y:fofType), (((ex fofType) (fun (Z:fofType)=> ((cLIKES Y) Z)))->((cLIKES cLYLE) Y))))->((ex fofType) (fun (U:fofType)=> (forall (V:fofType), ((cLIKES U) V))))) of role conjecture named cTHM68A % Conjecture to prove = (((and (forall (X:fofType), ((cLIKES X) cBRUCE))) (forall (Y:fofType), (((ex fofType) (fun (Z:fofType)=> ((cLIKES Y) Z)))->((cLIKES cLYLE) Y))))->((ex fofType) (fun (U:fofType)=> (forall (V:fofType), ((cLIKES U) V))))):Prop % We need to prove ['(((and (forall (X:fofType), ((cLIKES X) cBRUCE))) (forall (Y:fofType), (((ex fofType) (fun (Z:fofType)=> ((cLIKES Y) Z)))->((cLIKES cLYLE) Y))))->((ex fofType) (fun (U:fofType)=> (forall (V:fofType), ((cLIKES U) V)))))'] % Parameter fofType:Type. % Parameter cLIKES:(fofType->(fofType->Prop)). % Parameter cLYLE:fofType. % Parameter cBRUCE:fofType. % Trying to prove (((and (forall (X:fofType), ((cLIKES X) cBRUCE))) (forall (Y:fofType), (((ex fofType) (fun (Z:fofType)=> ((cLIKES Y) Z)))->((cLIKES cLYLE) Y))))->((ex fofType) (fun (U:fofType)=> (forall (V:fofType), ((cLIKES U) V))))) % Found x00:=(x0 V):((cLIKES V) cBRUCE) % Found (x0 V) as proof of ((cLIKES V) x3) % Found (x0 V) as proof of ((cLIKES V) x3) % Found (x0 V) as proof of ((cLIKES V) x3) % Found (ex_intro010 (x0 V)) as proof of ((ex fofType) (fun (Z:fofType)=> ((cLIKES V) Z))) % Found ((ex_intro01 cBRUCE) (x0 V)) as proof of ((ex fofType) (fun (Z:fofType)=> ((cLIKES V) Z))) % Found (((ex_intro0 (fun (Z:fofType)=> ((cLIKES V) Z))) cBRUCE) (x0 V)) as proof of ((ex fofType) (fun (Z:fofType)=> ((cLIKES V) Z))) % Found (((ex_intro0 (fun (Z:fofType)=> ((cLIKES V) Z))) cBRUCE) (x0 V)) as proof of ((ex fofType) (fun (Z:fofType)=> ((cLIKES V) Z))) % Found (x10 (((ex_intro0 (fun (Z:fofType)=> ((cLIKES V) Z))) cBRUCE) (x0 V))) as proof of ((cLIKES x2) V) % Found ((x1 V) (((ex_intro0 (fun (Z:fofType)=> ((cLIKES V) Z))) cBRUCE) (x0 V))) as proof of ((cLIKES x2) V) % Found ((x1 V) (((ex_intro0 (fun (Z:fofType)=> ((cLIKES V) Z))) cBRUCE) (x0 V))) as proof of ((cLIKES x2) V) % Found (fun (V:fofType)=> ((x1 V) (((ex_intro0 (fun (Z:fofType)=> ((cLIKES V) Z))) cBRUCE) (x0 V)))) as proof of ((cLIKES x2) V) % Found (fun (V:fofType)=> ((x1 V) (((ex_intro0 (fun (Z:fofType)=> ((cLIKES V) Z))) cBRUCE) (x0 V)))) as proof of (forall (V:fofType), ((cLIKES x2) V)) % Found (ex_intro000 (fun (V:fofType)=> ((x1 V) (((ex_intro0 (fun (Z:fofType)=> ((cLIKES V) Z))) cBRUCE) (x0 V))))) as proof of ((ex fofType) (fun (U:fofType)=> (forall (V:fofType), ((cLIKES U) V)))) % Found ((ex_intro00 cLYLE) (fun (V:fofType)=> ((x1 V) (((ex_intro0 (fun (Z:fofType)=> ((cLIKES V) Z))) cBRUCE) (x0 V))))) as proof of ((ex fofType) (fun (U:fofType)=> (forall (V:fofType), ((cLIKES U) V)))) % Found (((ex_intro0 (fun (U:fofType)=> (forall (V:fofType), ((cLIKES U) V)))) cLYLE) (fun (V:fofType)=> ((x1 V) (((ex_intro0 (fun (Z:fofType)=> ((cLIKES V) Z))) cBRUCE) (x0 V))))) as proof of ((ex fofType) (fun (U:fofType)=> (forall (V:fofType), ((cLIKES U) V)))) % Found ((((ex_intro fofType) (fun (U:fofType)=> (forall (V:fofType), ((cLIKES U) V)))) cLYLE) (fun (V:fofType)=> ((x1 V) ((((ex_intro fofType) (fun (Z:fofType)=> ((cLIKES V) Z))) cBRUCE) (x0 V))))) as proof of ((ex fofType) (fun (U:fofType)=> (forall (V:fofType), ((cLIKES U) V)))) % Found (fun (x1:(forall (Y:fofType), (((ex fofType) (fun (Z:fofType)=> ((cLIKES Y) Z)))->((cLIKES cLYLE) Y))))=> ((((ex_intro fofType) (fun (U:fofType)=> (forall (V:fofType), ((cLIKES U) V)))) cLYLE) (fun (V:fofType)=> ((x1 V) ((((ex_intro fofType) (fun (Z:fofType)=> ((cLIKES V) Z))) cBRUCE) (x0 V)))))) as proof of ((ex fofType) (fun (U:fofType)=> (forall (V:fofType), ((cLIKES U) V)))) % Found (fun (x0:(forall (X:fofType), ((cLIKES X) cBRUCE))) (x1:(forall (Y:fofType), (((ex fofType) (fun (Z:fofType)=> ((cLIKES Y) Z)))->((cLIKES cLYLE) Y))))=> ((((ex_intro fofType) (fun (U:fofType)=> (forall (V:fofType), ((cLIKES U) V)))) cLYLE) (fun (V:fofType)=> ((x1 V) ((((ex_intro fofType) (fun (Z:fofType)=> ((cLIKES V) Z))) cBRUCE) (x0 V)))))) as proof of ((forall (Y:fofType), (((ex fofType) (fun (Z:fofType)=> ((cLIKES Y) Z)))->((cLIKES cLYLE) Y)))->((ex fofType) (fun (U:fofType)=> (forall (V:fofType), ((cLIKES U) V))))) % Found (fun (x0:(forall (X:fofType), ((cLIKES X) cBRUCE))) (x1:(forall (Y:fofType), (((ex fofType) (fun (Z:fofType)=> ((cLIKES Y) Z)))->((cLIKES cLYLE) Y))))=> ((((ex_intro fofType) (fun (U:fofType)=> (forall (V:fofType), ((cLIKES U) V)))) cLYLE) (fun (V:fofType)=> ((x1 V) ((((ex_intro fofType) (fun (Z:fofType)=> ((cLIKES V) Z))) cBRUCE) (x0 V)))))) as proof of ((forall (X:fofType), ((cLIKES X) cBRUCE))->((forall (Y:fofType), (((ex fofType) (fun (Z:fofType)=> ((cLIKES Y) Z)))->((cLIKES cLYLE) Y)))->((ex fofType) (fun (U:fofType)=> (forall (V:fofType), ((cLIKES U) V)))))) % Found (and_rect00 (fun (x0:(forall (X:fofType), ((cLIKES X) cBRUCE))) (x1:(forall (Y:fofType), (((ex fofType) (fun (Z:fofType)=> ((cLIKES Y) Z)))->((cLIKES cLYLE) Y))))=> ((((ex_intro fofType) (fun (U:fofType)=> (forall (V:fofType), ((cLIKES U) V)))) cLYLE) (fun (V:fofType)=> ((x1 V) ((((ex_intro fofType) (fun (Z:fofType)=> ((cLIKES V) Z))) cBRUCE) (x0 V))))))) as proof of ((ex fofType) (fun (U:fofType)=> (forall (V:fofType), ((cLIKES U) V)))) % Found ((and_rect0 ((ex fofType) (fun (U:fofType)=> (forall (V:fofType), ((cLIKES U) V))))) (fun (x0:(forall (X:fofType), ((cLIKES X) cBRUCE))) (x1:(forall (Y:fofType), (((ex fofType) (fun (Z:fofType)=> ((cLIKES Y) Z)))->((cLIKES cLYLE) Y))))=> ((((ex_intro fofType) (fun (U:fofType)=> (forall (V:fofType), ((cLIKES U) V)))) cLYLE) (fun (V:fofType)=> ((x1 V) ((((ex_intro fofType) (fun (Z:fofType)=> ((cLIKES V) Z))) cBRUCE) (x0 V))))))) as proof of ((ex fofType) (fun (U:fofType)=> (forall (V:fofType), ((cLIKES U) V)))) % Found (((fun (P:Type) (x0:((forall (X:fofType), ((cLIKES X) cBRUCE))->((forall (Y:fofType), (((ex fofType) (fun (Z:fofType)=> ((cLIKES Y) Z)))->((cLIKES cLYLE) Y)))->P)))=> (((((and_rect (forall (X:fofType), ((cLIKES X) cBRUCE))) (forall (Y:fofType), (((ex fofType) (fun (Z:fofType)=> ((cLIKES Y) Z)))->((cLIKES cLYLE) Y)))) P) x0) x)) ((ex fofType) (fun (U:fofType)=> (forall (V:fofType), ((cLIKES U) V))))) (fun (x0:(forall (X:fofType), ((cLIKES X) cBRUCE))) (x1:(forall (Y:fofType), (((ex fofType) (fun (Z:fofType)=> ((cLIKES Y) Z)))->((cLIKES cLYLE) Y))))=> ((((ex_intro fofType) (fun (U:fofType)=> (forall (V:fofType), ((cLIKES U) V)))) cLYLE) (fun (V:fofType)=> ((x1 V) ((((ex_intro fofType) (fun (Z:fofType)=> ((cLIKES V) Z))) cBRUCE) (x0 V))))))) as proof of ((ex fofType) (fun (U:fofType)=> (forall (V:fofType), ((cLIKES U) V)))) % Found (fun (x:((and (forall (X:fofType), ((cLIKES X) cBRUCE))) (forall (Y:fofType), (((ex fofType) (fun (Z:fofType)=> ((cLIKES Y) Z)))->((cLIKES cLYLE) Y)))))=> (((fun (P:Type) (x0:((forall (X:fofType), ((cLIKES X) cBRUCE))->((forall (Y:fofType), (((ex fofType) (fun (Z:fofType)=> ((cLIKES Y) Z)))->((cLIKES cLYLE) Y)))->P)))=> (((((and_rect (forall (X:fofType), ((cLIKES X) cBRUCE))) (forall (Y:fofType), (((ex fofType) (fun (Z:fofType)=> ((cLIKES Y) Z)))->((cLIKES cLYLE) Y)))) P) x0) x)) ((ex fofType) (fun (U:fofType)=> (forall (V:fofType), ((cLIKES U) V))))) (fun (x0:(forall (X:fofType), ((cLIKES X) cBRUCE))) (x1:(forall (Y:fofType), (((ex fofType) (fun (Z:fofType)=> ((cLIKES Y) Z)))->((cLIKES cLYLE) Y))))=> ((((ex_intro fofType) (fun (U:fofType)=> (forall (V:fofType), ((cLIKES U) V)))) cLYLE) (fun (V:fofType)=> ((x1 V) ((((ex_intro fofType) (fun (Z:fofType)=> ((cLIKES V) Z))) cBRUCE) (x0 V)))))))) as proof of ((ex fofType) (fun (U:fofType)=> (forall (V:fofType), ((cLIKES U) V)))) % Found (fun (x:((and (forall (X:fofType), ((cLIKES X) cBRUCE))) (forall (Y:fofType), (((ex fofType) (fun (Z:fofType)=> ((cLIKES Y) Z)))->((cLIKES cLYLE) Y)))))=> (((fun (P:Type) (x0:((forall (X:fofType), ((cLIKES X) cBRUCE))->((forall (Y:fofType), (((ex fofType) (fun (Z:fofType)=> ((cLIKES Y) Z)))->((cLIKES cLYLE) Y)))->P)))=> (((((and_rect (forall (X:fofType), ((cLIKES X) cBRUCE))) (forall (Y:fofType), (((ex fofType) (fun (Z:fofType)=> ((cLIKES Y) Z)))->((cLIKES cLYLE) Y)))) P) x0) x)) ((ex fofType) (fun (U:fofType)=> (forall (V:fofType), ((cLIKES U) V))))) (fun (x0:(forall (X:fofType), ((cLIKES X) cBRUCE))) (x1:(forall (Y:fofType), (((ex fofType) (fun (Z:fofType)=> ((cLIKES Y) Z)))->((cLIKES cLYLE) Y))))=> ((((ex_intro fofType) (fun (U:fofType)=> (forall (V:fofType), ((cLIKES U) V)))) cLYLE) (fun (V:fofType)=> ((x1 V) ((((ex_intro fofType) (fun (Z:fofType)=> ((cLIKES V) Z))) cBRUCE) (x0 V)))))))) as proof of (((and (forall (X:fofType), ((cLIKES X) cBRUCE))) (forall (Y:fofType), (((ex fofType) (fun (Z:fofType)=> ((cLIKES Y) Z)))->((cLIKES cLYLE) Y))))->((ex fofType) (fun (U:fofType)=> (forall (V:fofType), ((cLIKES U) V))))) % Got proof (fun (x:((and (forall (X:fofType), ((cLIKES X) cBRUCE))) (forall (Y:fofType), (((ex fofType) (fun (Z:fofType)=> ((cLIKES Y) Z)))->((cLIKES cLYLE) Y)))))=> (((fun (P:Type) (x0:((forall (X:fofType), ((cLIKES X) cBRUCE))->((forall (Y:fofType), (((ex fofType) (fun (Z:fofType)=> ((cLIKES Y) Z)))->((cLIKES cLYLE) Y)))->P)))=> (((((and_rect (forall (X:fofType), ((cLIKES X) cBRUCE))) (forall (Y:fofType), (((ex fofType) (fun (Z:fofType)=> ((cLIKES Y) Z)))->((cLIKES cLYLE) Y)))) P) x0) x)) ((ex fofType) (fun (U:fofType)=> (forall (V:fofType), ((cLIKES U) V))))) (fun (x0:(forall (X:fofType), ((cLIKES X) cBRUCE))) (x1:(forall (Y:fofType), (((ex fofType) (fun (Z:fofType)=> ((cLIKES Y) Z)))->((cLIKES cLYLE) Y))))=> ((((ex_intro fofType) (fun (U:fofType)=> (forall (V:fofType), ((cLIKES U) V)))) cLYLE) (fun (V:fofType)=> ((x1 V) ((((ex_intro fofType) (fun (Z:fofType)=> ((cLIKES V) Z))) cBRUCE) (x0 V)))))))) % Time elapsed = 0.288188s % node=42 cost=1098.000000 depth=23 % :::::::::::::::::::::: % % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p % (fun (x:((and (forall (X:fofType), ((cLIKES X) cBRUCE))) (forall (Y:fofType), (((ex fofType) (fun (Z:fofType)=> ((cLIKES Y) Z)))->((cLIKES cLYLE) Y)))))=> (((fun (P:Type) (x0:((forall (X:fofType), ((cLIKES X) cBRUCE))->((forall (Y:fofType), (((ex fofType) (fun (Z:fofType)=> ((cLIKES Y) Z)))->((cLIKES cLYLE) Y)))->P)))=> (((((and_rect (forall (X:fofType), ((cLIKES X) cBRUCE))) (forall (Y:fofType), (((ex fofType) (fun (Z:fofType)=> ((cLIKES Y) Z)))->((cLIKES cLYLE) Y)))) P) x0) x)) ((ex fofType) (fun (U:fofType)=> (forall (V:fofType), ((cLIKES U) V))))) (fun (x0:(forall (X:fofType), ((cLIKES X) cBRUCE))) (x1:(forall (Y:fofType), (((ex fofType) (fun (Z:fofType)=> ((cLIKES Y) Z)))->((cLIKES cLYLE) Y))))=> ((((ex_intro fofType) (fun (U:fofType)=> (forall (V:fofType), ((cLIKES U) V)))) cLYLE) (fun (V:fofType)=> ((x1 V) ((((ex_intro fofType) (fun (Z:fofType)=> ((cLIKES V) Z))) cBRUCE) (x0 V)))))))) % % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p % EOF %------------------------------------------------------------------------------