%------------------------------------------------------------------------------ % File : cocATP---0.2.0 % Problem : SEU921^5 : TPTP v6.1.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p % Computer : n105.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 13:33:23 EDT 2014 % Result : Theorem 1.19s % Output : Proof 1.19s % Verified : % SZS Type : None (Parsing solution fails) % Syntax : Number of formulae : 0 % Comments : %------------------------------------------------------------------------------ %----ERROR: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % % Problem : SEU921^5 : TPTP v6.1.0. Released v4.0.0. % % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p % % Computer : n105.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 11:42:51 CDT 2014 % % CPUTime : 1.19 % 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 0x20adbd8>, <kernel.DependentProduct object at 0x20adb90>) of role type named f % Using role type % Declaring f:(fofType->fofType) % FOF formula (<kernel.Constant object at 0x1ebcc68>, <kernel.DependentProduct object at 0x20ad050>) of role type named g % Using role type % Declaring g:(fofType->fofType) % FOF formula (<kernel.Constant object at 0x20ad518>, <kernel.DependentProduct object at 0x20adcb0>) of role type named h % Using role type % Declaring h:(fofType->fofType) % FOF formula ((forall (Xx:fofType) (Xy:fofType), ((((eq fofType) (g Xx)) Xy)->(((eq fofType) (h Xy)) (f Xx))))->(((eq (fofType->fofType)) (fun (Xx:fofType)=> (h (g Xx)))) f)) of role conjecture named cTHM588LEM2_pme % Conjecture to prove = ((forall (Xx:fofType) (Xy:fofType), ((((eq fofType) (g Xx)) Xy)->(((eq fofType) (h Xy)) (f Xx))))->(((eq (fofType->fofType)) (fun (Xx:fofType)=> (h (g Xx)))) f)):Prop % Parameter fofType_DUMMY:fofType. % We need to prove ['((forall (Xx:fofType) (Xy:fofType), ((((eq fofType) (g Xx)) Xy)->(((eq fofType) (h Xy)) (f Xx))))->(((eq (fofType->fofType)) (fun (Xx:fofType)=> (h (g Xx)))) f))'] % Parameter fofType:Type. % Parameter f:(fofType->fofType). % Parameter g:(fofType->fofType). % Parameter h:(fofType->fofType). % Trying to prove ((forall (Xx:fofType) (Xy:fofType), ((((eq fofType) (g Xx)) Xy)->(((eq fofType) (h Xy)) (f Xx))))->(((eq (fofType->fofType)) (fun (Xx:fofType)=> (h (g Xx)))) f)) % Found eq_ref00:=(eq_ref0 (g x0)):(((eq fofType) (g x0)) (g x0)) % Found (eq_ref0 (g x0)) as proof of (((eq fofType) (g x0)) (g x0)) % Found ((eq_ref fofType) (g x0)) as proof of (((eq fofType) (g x0)) (g x0)) % Found ((eq_ref fofType) (g x0)) as proof of (((eq fofType) (g x0)) (g x0)) % Found (x10 ((eq_ref fofType) (g x0))) as proof of (((eq fofType) (h (g x0))) (f x0)) % Found ((x1 (g x0)) ((eq_ref fofType) (g x0))) as proof of (((eq fofType) (h (g x0))) (f x0)) % Found (((x x0) (g x0)) ((eq_ref fofType) (g x0))) as proof of (((eq fofType) (h (g x0))) (f x0)) % Found (fun (x0:fofType)=> (((x x0) (g x0)) ((eq_ref fofType) (g x0)))) as proof of (((eq fofType) (h (g x0))) (f x0)) % Found (fun (x0:fofType)=> (((x x0) (g x0)) ((eq_ref fofType) (g x0)))) as proof of (forall (x:fofType), (((eq fofType) (h (g x))) (f x))) % Found (functional_extensionality_dep0000 (fun (x0:fofType)=> (((x x0) (g x0)) ((eq_ref fofType) (g x0))))) as proof of (((eq (fofType->fofType)) (fun (Xx:fofType)=> (h (g Xx)))) f) % Found ((functional_extensionality_dep000 f) (fun (x0:fofType)=> (((x x0) (g x0)) ((eq_ref fofType) (g x0))))) as proof of (((eq (fofType->fofType)) (fun (Xx:fofType)=> (h (g Xx)))) f) % Found (((functional_extensionality_dep00 (fun (Xx:fofType)=> (h (g Xx)))) f) (fun (x0:fofType)=> (((x x0) (g x0)) ((eq_ref fofType) (g x0))))) as proof of (((eq (fofType->fofType)) (fun (Xx:fofType)=> (h (g Xx)))) f) % Found ((((functional_extensionality_dep0 (fun (x2:fofType)=> fofType)) (fun (Xx:fofType)=> (h (g Xx)))) f) (fun (x0:fofType)=> (((x x0) (g x0)) ((eq_ref fofType) (g x0))))) as proof of (((eq (fofType->fofType)) (fun (Xx:fofType)=> (h (g Xx)))) f) % Found (((((functional_extensionality_dep fofType) (fun (x2:fofType)=> fofType)) (fun (Xx:fofType)=> (h (g Xx)))) f) (fun (x0:fofType)=> (((x x0) (g x0)) ((eq_ref fofType) (g x0))))) as proof of (((eq (fofType->fofType)) (fun (Xx:fofType)=> (h (g Xx)))) f) % Found (fun (x:(forall (Xx:fofType) (Xy:fofType), ((((eq fofType) (g Xx)) Xy)->(((eq fofType) (h Xy)) (f Xx)))))=> (((((functional_extensionality_dep fofType) (fun (x2:fofType)=> fofType)) (fun (Xx:fofType)=> (h (g Xx)))) f) (fun (x0:fofType)=> (((x x0) (g x0)) ((eq_ref fofType) (g x0)))))) as proof of (((eq (fofType->fofType)) (fun (Xx:fofType)=> (h (g Xx)))) f) % Found (fun (x:(forall (Xx:fofType) (Xy:fofType), ((((eq fofType) (g Xx)) Xy)->(((eq fofType) (h Xy)) (f Xx)))))=> (((((functional_extensionality_dep fofType) (fun (x2:fofType)=> fofType)) (fun (Xx:fofType)=> (h (g Xx)))) f) (fun (x0:fofType)=> (((x x0) (g x0)) ((eq_ref fofType) (g x0)))))) as proof of ((forall (Xx:fofType) (Xy:fofType), ((((eq fofType) (g Xx)) Xy)->(((eq fofType) (h Xy)) (f Xx))))->(((eq (fofType->fofType)) (fun (Xx:fofType)=> (h (g Xx)))) f)) % Got proof (fun (x:(forall (Xx:fofType) (Xy:fofType), ((((eq fofType) (g Xx)) Xy)->(((eq fofType) (h Xy)) (f Xx)))))=> (((((functional_extensionality_dep fofType) (fun (x2:fofType)=> fofType)) (fun (Xx:fofType)=> (h (g Xx)))) f) (fun (x0:fofType)=> (((x x0) (g x0)) ((eq_ref fofType) (g x0)))))) % Time elapsed = 0.874783s % node=169 cost=75.000000 depth=14 % :::::::::::::::::::::: % % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p % (fun (x:(forall (Xx:fofType) (Xy:fofType), ((((eq fofType) (g Xx)) Xy)->(((eq fofType) (h Xy)) (f Xx)))))=> (((((functional_extensionality_dep fofType) (fun (x2:fofType)=> fofType)) (fun (Xx:fofType)=> (h (g Xx)))) f) (fun (x0:fofType)=> (((x x0) (g x0)) ((eq_ref fofType) (g x0)))))) % % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p % EOF %------------------------------------------------------------------------------