%------------------------------------------------------------------------------ % File : cocATP---0.2.0 % Problem : SET009^5 : TPTP v6.1.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p % Computer : n109.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 13:29:54 EDT 2014 % Result : Theorem 0.72s % Output : Proof 0.72s % Verified : % SZS Type : None (Parsing solution fails) % Syntax : Number of formulae : 0 % Comments : %------------------------------------------------------------------------------ %----ERROR: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % % Problem : SET009^5 : TPTP v6.1.0. Released v4.0.0. % % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p % % Computer : n109.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 07:30:01 CDT 2014 % % CPUTime : 0.72 % 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 0x192aab8>, <kernel.Type object at 0x192a5f0>) of role type named a_type % Using role type % Declaring a:Type % FOF formula (forall (X:(a->Prop)) (Y:(a->Prop)) (Z:(a->Prop)), ((forall (Xx:a), ((X Xx)->(Y Xx)))->(forall (Xx:a), (((and (Z Xx)) ((Y Xx)->False))->((and (Z Xx)) ((X Xx)->False)))))) of role conjecture named cBOOL_PROP_47_pme % Conjecture to prove = (forall (X:(a->Prop)) (Y:(a->Prop)) (Z:(a->Prop)), ((forall (Xx:a), ((X Xx)->(Y Xx)))->(forall (Xx:a), (((and (Z Xx)) ((Y Xx)->False))->((and (Z Xx)) ((X Xx)->False)))))):Prop % Parameter a_DUMMY:a. % We need to prove ['(forall (X:(a->Prop)) (Y:(a->Prop)) (Z:(a->Prop)), ((forall (Xx:a), ((X Xx)->(Y Xx)))->(forall (Xx:a), (((and (Z Xx)) ((Y Xx)->False))->((and (Z Xx)) ((X Xx)->False))))))'] % Parameter a:Type. % Trying to prove (forall (X:(a->Prop)) (Y:(a->Prop)) (Z:(a->Prop)), ((forall (Xx:a), ((X Xx)->(Y Xx)))->(forall (Xx:a), (((and (Z Xx)) ((Y Xx)->False))->((and (Z Xx)) ((X Xx)->False)))))) % Found x1:(Z Xx) % Found x1 as proof of (Z Xx) % Found x1:(Z Xx) % Found x1 as proof of (Z Xx) % Found x40:=(x4 x3):(Y Xx) % Found (x4 x3) as proof of (Y Xx) % Found ((x Xx) x3) as proof of (Y Xx) % Found ((x Xx) x3) as proof of (Y Xx) % Found (x2 ((x Xx) x3)) as proof of False % Found (fun (x3:(X Xx))=> (x2 ((x Xx) x3))) as proof of False % Found (fun (x3:(X Xx))=> (x2 ((x Xx) x3))) as proof of ((X Xx)->False) % Found ((conj00 x1) (fun (x3:(X Xx))=> (x2 ((x Xx) x3)))) as proof of ((and (Z Xx)) ((X Xx)->False)) % Found (((conj0 ((X Xx)->False)) x1) (fun (x3:(X Xx))=> (x2 ((x Xx) x3)))) as proof of ((and (Z Xx)) ((X Xx)->False)) % Found ((((conj (Z Xx)) ((X Xx)->False)) x1) (fun (x3:(X Xx))=> (x2 ((x Xx) x3)))) as proof of ((and (Z Xx)) ((X Xx)->False)) % Found (fun (x2:((Y Xx)->False))=> ((((conj (Z Xx)) ((X Xx)->False)) x1) (fun (x3:(X Xx))=> (x2 ((x Xx) x3))))) as proof of ((and (Z Xx)) ((X Xx)->False)) % Found (fun (x1:(Z Xx)) (x2:((Y Xx)->False))=> ((((conj (Z Xx)) ((X Xx)->False)) x1) (fun (x3:(X Xx))=> (x2 ((x Xx) x3))))) as proof of (((Y Xx)->False)->((and (Z Xx)) ((X Xx)->False))) % Found (fun (x1:(Z Xx)) (x2:((Y Xx)->False))=> ((((conj (Z Xx)) ((X Xx)->False)) x1) (fun (x3:(X Xx))=> (x2 ((x Xx) x3))))) as proof of ((Z Xx)->(((Y Xx)->False)->((and (Z Xx)) ((X Xx)->False)))) % Found (and_rect00 (fun (x1:(Z Xx)) (x2:((Y Xx)->False))=> ((((conj (Z Xx)) ((X Xx)->False)) x1) (fun (x3:(X Xx))=> (x2 ((x Xx) x3)))))) as proof of ((and (Z Xx)) ((X Xx)->False)) % Found ((and_rect0 ((and (Z Xx)) ((X Xx)->False))) (fun (x1:(Z Xx)) (x2:((Y Xx)->False))=> ((((conj (Z Xx)) ((X Xx)->False)) x1) (fun (x3:(X Xx))=> (x2 ((x Xx) x3)))))) as proof of ((and (Z Xx)) ((X Xx)->False)) % Found (((fun (P:Type) (x1:((Z Xx)->(((Y Xx)->False)->P)))=> (((((and_rect (Z Xx)) ((Y Xx)->False)) P) x1) x0)) ((and (Z Xx)) ((X Xx)->False))) (fun (x1:(Z Xx)) (x2:((Y Xx)->False))=> ((((conj (Z Xx)) ((X Xx)->False)) x1) (fun (x3:(X Xx))=> (x2 ((x Xx) x3)))))) as proof of ((and (Z Xx)) ((X Xx)->False)) % Found (fun (x0:((and (Z Xx)) ((Y Xx)->False)))=> (((fun (P:Type) (x1:((Z Xx)->(((Y Xx)->False)->P)))=> (((((and_rect (Z Xx)) ((Y Xx)->False)) P) x1) x0)) ((and (Z Xx)) ((X Xx)->False))) (fun (x1:(Z Xx)) (x2:((Y Xx)->False))=> ((((conj (Z Xx)) ((X Xx)->False)) x1) (fun (x3:(X Xx))=> (x2 ((x Xx) x3))))))) as proof of ((and (Z Xx)) ((X Xx)->False)) % Found (fun (Xx:a) (x0:((and (Z Xx)) ((Y Xx)->False)))=> (((fun (P:Type) (x1:((Z Xx)->(((Y Xx)->False)->P)))=> (((((and_rect (Z Xx)) ((Y Xx)->False)) P) x1) x0)) ((and (Z Xx)) ((X Xx)->False))) (fun (x1:(Z Xx)) (x2:((Y Xx)->False))=> ((((conj (Z Xx)) ((X Xx)->False)) x1) (fun (x3:(X Xx))=> (x2 ((x Xx) x3))))))) as proof of (((and (Z Xx)) ((Y Xx)->False))->((and (Z Xx)) ((X Xx)->False))) % Found (fun (x:(forall (Xx:a), ((X Xx)->(Y Xx)))) (Xx:a) (x0:((and (Z Xx)) ((Y Xx)->False)))=> (((fun (P:Type) (x1:((Z Xx)->(((Y Xx)->False)->P)))=> (((((and_rect (Z Xx)) ((Y Xx)->False)) P) x1) x0)) ((and (Z Xx)) ((X Xx)->False))) (fun (x1:(Z Xx)) (x2:((Y Xx)->False))=> ((((conj (Z Xx)) ((X Xx)->False)) x1) (fun (x3:(X Xx))=> (x2 ((x Xx) x3))))))) as proof of (forall (Xx:a), (((and (Z Xx)) ((Y Xx)->False))->((and (Z Xx)) ((X Xx)->False)))) % Found (fun (Z:(a->Prop)) (x:(forall (Xx:a), ((X Xx)->(Y Xx)))) (Xx:a) (x0:((and (Z Xx)) ((Y Xx)->False)))=> (((fun (P:Type) (x1:((Z Xx)->(((Y Xx)->False)->P)))=> (((((and_rect (Z Xx)) ((Y Xx)->False)) P) x1) x0)) ((and (Z Xx)) ((X Xx)->False))) (fun (x1:(Z Xx)) (x2:((Y Xx)->False))=> ((((conj (Z Xx)) ((X Xx)->False)) x1) (fun (x3:(X Xx))=> (x2 ((x Xx) x3))))))) as proof of ((forall (Xx:a), ((X Xx)->(Y Xx)))->(forall (Xx:a), (((and (Z Xx)) ((Y Xx)->False))->((and (Z Xx)) ((X Xx)->False))))) % Found (fun (Y:(a->Prop)) (Z:(a->Prop)) (x:(forall (Xx:a), ((X Xx)->(Y Xx)))) (Xx:a) (x0:((and (Z Xx)) ((Y Xx)->False)))=> (((fun (P:Type) (x1:((Z Xx)->(((Y Xx)->False)->P)))=> (((((and_rect (Z Xx)) ((Y Xx)->False)) P) x1) x0)) ((and (Z Xx)) ((X Xx)->False))) (fun (x1:(Z Xx)) (x2:((Y Xx)->False))=> ((((conj (Z Xx)) ((X Xx)->False)) x1) (fun (x3:(X Xx))=> (x2 ((x Xx) x3))))))) as proof of (forall (Z:(a->Prop)), ((forall (Xx:a), ((X Xx)->(Y Xx)))->(forall (Xx:a), (((and (Z Xx)) ((Y Xx)->False))->((and (Z Xx)) ((X Xx)->False)))))) % Found (fun (X:(a->Prop)) (Y:(a->Prop)) (Z:(a->Prop)) (x:(forall (Xx:a), ((X Xx)->(Y Xx)))) (Xx:a) (x0:((and (Z Xx)) ((Y Xx)->False)))=> (((fun (P:Type) (x1:((Z Xx)->(((Y Xx)->False)->P)))=> (((((and_rect (Z Xx)) ((Y Xx)->False)) P) x1) x0)) ((and (Z Xx)) ((X Xx)->False))) (fun (x1:(Z Xx)) (x2:((Y Xx)->False))=> ((((conj (Z Xx)) ((X Xx)->False)) x1) (fun (x3:(X Xx))=> (x2 ((x Xx) x3))))))) as proof of (forall (Y:(a->Prop)) (Z:(a->Prop)), ((forall (Xx:a), ((X Xx)->(Y Xx)))->(forall (Xx:a), (((and (Z Xx)) ((Y Xx)->False))->((and (Z Xx)) ((X Xx)->False)))))) % Found (fun (X:(a->Prop)) (Y:(a->Prop)) (Z:(a->Prop)) (x:(forall (Xx:a), ((X Xx)->(Y Xx)))) (Xx:a) (x0:((and (Z Xx)) ((Y Xx)->False)))=> (((fun (P:Type) (x1:((Z Xx)->(((Y Xx)->False)->P)))=> (((((and_rect (Z Xx)) ((Y Xx)->False)) P) x1) x0)) ((and (Z Xx)) ((X Xx)->False))) (fun (x1:(Z Xx)) (x2:((Y Xx)->False))=> ((((conj (Z Xx)) ((X Xx)->False)) x1) (fun (x3:(X Xx))=> (x2 ((x Xx) x3))))))) as proof of (forall (X:(a->Prop)) (Y:(a->Prop)) (Z:(a->Prop)), ((forall (Xx:a), ((X Xx)->(Y Xx)))->(forall (Xx:a), (((and (Z Xx)) ((Y Xx)->False))->((and (Z Xx)) ((X Xx)->False)))))) % Got proof (fun (X:(a->Prop)) (Y:(a->Prop)) (Z:(a->Prop)) (x:(forall (Xx:a), ((X Xx)->(Y Xx)))) (Xx:a) (x0:((and (Z Xx)) ((Y Xx)->False)))=> (((fun (P:Type) (x1:((Z Xx)->(((Y Xx)->False)->P)))=> (((((and_rect (Z Xx)) ((Y Xx)->False)) P) x1) x0)) ((and (Z Xx)) ((X Xx)->False))) (fun (x1:(Z Xx)) (x2:((Y Xx)->False))=> ((((conj (Z Xx)) ((X Xx)->False)) x1) (fun (x3:(X Xx))=> (x2 ((x Xx) x3))))))) % Time elapsed = 0.408824s % node=103 cost=402.000000 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:(a->Prop)) (Y:(a->Prop)) (Z:(a->Prop)) (x:(forall (Xx:a), ((X Xx)->(Y Xx)))) (Xx:a) (x0:((and (Z Xx)) ((Y Xx)->False)))=> (((fun (P:Type) (x1:((Z Xx)->(((Y Xx)->False)->P)))=> (((((and_rect (Z Xx)) ((Y Xx)->False)) P) x1) x0)) ((and (Z Xx)) ((X Xx)->False))) (fun (x1:(Z Xx)) (x2:((Y Xx)->False))=> ((((conj (Z Xx)) ((X Xx)->False)) x1) (fun (x3:(X Xx))=> (x2 ((x Xx) x3))))))) % % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p % EOF %------------------------------------------------------------------------------