%------------------------------------------------------------------------------ % File : cocATP---0.2.0 % Problem : SEV288^5 : TPTP v6.1.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p % Computer : n091.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 13:34:00 EDT 2014 % Result : Theorem 0.41s % Output : Proof 0.41s % Verified : % SZS Type : None (Parsing solution fails) % Syntax : Number of formulae : 0 % Comments : %------------------------------------------------------------------------------ %----ERROR: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % % Problem : SEV288^5 : TPTP v6.1.0. Released v4.0.0. % % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p % % Computer : n091.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 08:44:26 CDT 2014 % % CPUTime : 0.41 % 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 0x1c52710>, <kernel.Type object at 0x1c52ef0>) of role type named a_type % Using role type % Declaring a:Type % FOF formula (((eq (a->(a->Prop))) (fun (X:a) (Y:a)=> (forall (Xq:(a->Prop)), ((Xq X)->(Xq Y))))) (fun (X:a) (Y:a)=> (((eq a) X) Y))) of role conjecture named cE1_eq__pme % Conjecture to prove = (((eq (a->(a->Prop))) (fun (X:a) (Y:a)=> (forall (Xq:(a->Prop)), ((Xq X)->(Xq Y))))) (fun (X:a) (Y:a)=> (((eq a) X) Y))):Prop % Parameter a_DUMMY:a. % We need to prove ['(((eq (a->(a->Prop))) (fun (X:a) (Y:a)=> (forall (Xq:(a->Prop)), ((Xq X)->(Xq Y))))) (fun (X:a) (Y:a)=> (((eq a) X) Y)))'] % Parameter a:Type. % Trying to prove (((eq (a->(a->Prop))) (fun (X:a) (Y:a)=> (forall (Xq:(a->Prop)), ((Xq X)->(Xq Y))))) (fun (X:a) (Y:a)=> (((eq a) X) Y))) % Found eta_expansion000:=(eta_expansion00 (fun (X:a) (Y:a)=> (forall (Xq:(a->Prop)), ((Xq X)->(Xq Y))))):(((eq (a->(a->Prop))) (fun (X:a) (Y:a)=> (forall (Xq:(a->Prop)), ((Xq X)->(Xq Y))))) (fun (x:a) (Y:a)=> (forall (Xq:(a->Prop)), ((Xq x)->(Xq Y))))) % Found (eta_expansion00 (fun (X:a) (Y:a)=> (forall (Xq:(a->Prop)), ((Xq X)->(Xq Y))))) as proof of (((eq (a->(a->Prop))) (fun (X:a) (Y:a)=> (forall (Xq:(a->Prop)), ((Xq X)->(Xq Y))))) (fun (X:a) (Y:a)=> (((eq a) X) Y))) % Found ((eta_expansion0 (a->Prop)) (fun (X:a) (Y:a)=> (forall (Xq:(a->Prop)), ((Xq X)->(Xq Y))))) as proof of (((eq (a->(a->Prop))) (fun (X:a) (Y:a)=> (forall (Xq:(a->Prop)), ((Xq X)->(Xq Y))))) (fun (X:a) (Y:a)=> (((eq a) X) Y))) % Found (((eta_expansion a) (a->Prop)) (fun (X:a) (Y:a)=> (forall (Xq:(a->Prop)), ((Xq X)->(Xq Y))))) as proof of (((eq (a->(a->Prop))) (fun (X:a) (Y:a)=> (forall (Xq:(a->Prop)), ((Xq X)->(Xq Y))))) (fun (X:a) (Y:a)=> (((eq a) X) Y))) % Found (((eta_expansion a) (a->Prop)) (fun (X:a) (Y:a)=> (forall (Xq:(a->Prop)), ((Xq X)->(Xq Y))))) as proof of (((eq (a->(a->Prop))) (fun (X:a) (Y:a)=> (forall (Xq:(a->Prop)), ((Xq X)->(Xq Y))))) (fun (X:a) (Y:a)=> (((eq a) X) Y))) % Got proof (((eta_expansion a) (a->Prop)) (fun (X:a) (Y:a)=> (forall (Xq:(a->Prop)), ((Xq X)->(Xq Y))))) % Time elapsed = 0.108020s % node=13 cost=-280.000000 depth=3 % :::::::::::::::::::::: % % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p % (((eta_expansion a) (a->Prop)) (fun (X:a) (Y:a)=> (forall (Xq:(a->Prop)), ((Xq X)->(Xq Y))))) % % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p % EOF %------------------------------------------------------------------------------