%------------------------------------------------------------------------------ % File : cocATP---0.2.0 % Problem : SEU795^2 : TPTP v6.1.0. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p % Computer : n115.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 13:33:09 EDT 2014 % Result : Theorem 1.25s % Output : Proof 1.25s % Verified : % SZS Type : None (Parsing solution fails) % Syntax : Number of formulae : 0 % Comments : %------------------------------------------------------------------------------ %----ERROR: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % % Problem : SEU795^2 : TPTP v6.1.0. Released v3.7.0. % % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p % % Computer : n115.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 11:30:31 CDT 2014 % % CPUTime : 1.25 % 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 0x1f6bef0>, <kernel.DependentProduct object at 0x1f6b7e8>) of role type named in_type % Using role type % Declaring in:(fofType->(fofType->Prop)) % FOF formula (<kernel.Constant object at 0x1f6bf38>, <kernel.DependentProduct object at 0x1f6bdd0>) of role type named exu_type % Using role type % Declaring exu:((fofType->Prop)->Prop) % FOF formula (((eq ((fofType->Prop)->Prop)) exu) (fun (Xphi:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((and (Xphi Xx)) (forall (Xy:fofType), ((Xphi Xy)->(((eq fofType) Xx) Xy)))))))) of role definition named exu % A new definition: (((eq ((fofType->Prop)->Prop)) exu) (fun (Xphi:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((and (Xphi Xx)) (forall (Xy:fofType), ((Xphi Xy)->(((eq fofType) Xx) Xy)))))))) % Defined: exu:=(fun (Xphi:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((and (Xphi Xx)) (forall (Xy:fofType), ((Xphi Xy)->(((eq fofType) Xx) Xy))))))) % FOF formula (<kernel.Constant object at 0x1f6bdd0>, <kernel.DependentProduct object at 0x1f6b440>) of role type named descr_type % Using role type % Declaring descr:((fofType->Prop)->fofType) % FOF formula (<kernel.Constant object at 0x1f6b3f8>, <kernel.Sort object at 0x1e4b5a8>) of role type named descrp_type % Using role type % Declaring descrp:Prop % FOF formula (((eq Prop) descrp) (forall (Xphi:(fofType->Prop)), ((exu (fun (Xx:fofType)=> (Xphi Xx)))->(Xphi (descr (fun (Xx:fofType)=> (Xphi Xx))))))) of role definition named descrp % A new definition: (((eq Prop) descrp) (forall (Xphi:(fofType->Prop)), ((exu (fun (Xx:fofType)=> (Xphi Xx)))->(Xphi (descr (fun (Xx:fofType)=> (Xphi Xx))))))) % Defined: descrp:=(forall (Xphi:(fofType->Prop)), ((exu (fun (Xx:fofType)=> (Xphi Xx)))->(Xphi (descr (fun (Xx:fofType)=> (Xphi Xx)))))) % FOF formula (<kernel.Constant object at 0x1e4cf80>, <kernel.Sort object at 0x1e4b5a8>) of role type named in__Cong_type % Using role type % Declaring in__Cong:Prop % FOF formula (((eq Prop) in__Cong) (forall (A:fofType) (B:fofType), ((((eq fofType) A) B)->(forall (Xx:fofType) (Xy:fofType), ((((eq fofType) Xx) Xy)->((iff ((in Xx) A)) ((in Xy) B))))))) of role definition named in__Cong % A new definition: (((eq Prop) in__Cong) (forall (A:fofType) (B:fofType), ((((eq fofType) A) B)->(forall (Xx:fofType) (Xy:fofType), ((((eq fofType) Xx) Xy)->((iff ((in Xx) A)) ((in Xy) B))))))) % Defined: in__Cong:=(forall (A:fofType) (B:fofType), ((((eq fofType) A) B)->(forall (Xx:fofType) (Xy:fofType), ((((eq fofType) Xx) Xy)->((iff ((in Xx) A)) ((in Xy) B)))))) % FOF formula (<kernel.Constant object at 0x1f6b4d0>, <kernel.Sort object at 0x1e4b5a8>) of role type named image1Ex1_type % Using role type % Declaring image1Ex1:Prop % FOF formula (((eq Prop) image1Ex1) (forall (A:fofType) (Xf:(fofType->fofType)), (exu (fun (B:fofType)=> (forall (Xx:fofType), ((iff ((in Xx) B)) ((ex fofType) (fun (Xy:fofType)=> ((and ((in Xy) A)) (((eq fofType) Xx) (Xf Xy))))))))))) of role definition named image1Ex1 % A new definition: (((eq Prop) image1Ex1) (forall (A:fofType) (Xf:(fofType->fofType)), (exu (fun (B:fofType)=> (forall (Xx:fofType), ((iff ((in Xx) B)) ((ex fofType) (fun (Xy:fofType)=> ((and ((in Xy) A)) (((eq fofType) Xx) (Xf Xy))))))))))) % Defined: image1Ex1:=(forall (A:fofType) (Xf:(fofType->fofType)), (exu (fun (B:fofType)=> (forall (Xx:fofType), ((iff ((in Xx) B)) ((ex fofType) (fun (Xy:fofType)=> ((and ((in Xy) A)) (((eq fofType) Xx) (Xf Xy)))))))))) % FOF formula (<kernel.Constant object at 0x1f6bdd0>, <kernel.DependentProduct object at 0x1f6b758>) of role type named image1_type % Using role type % Declaring image1:(fofType->((fofType->fofType)->fofType)) % FOF formula (((eq (fofType->((fofType->fofType)->fofType))) image1) (fun (A:fofType) (Xf:(fofType->fofType))=> (descr (fun (B:fofType)=> (forall (Xx:fofType), ((iff ((in Xx) B)) ((ex fofType) (fun (Xy:fofType)=> ((and ((in Xy) A)) (((eq fofType) Xx) (Xf Xy))))))))))) of role definition named image1 % A new definition: (((eq (fofType->((fofType->fofType)->fofType))) image1) (fun (A:fofType) (Xf:(fofType->fofType))=> (descr (fun (B:fofType)=> (forall (Xx:fofType), ((iff ((in Xx) B)) ((ex fofType) (fun (Xy:fofType)=> ((and ((in Xy) A)) (((eq fofType) Xx) (Xf Xy))))))))))) % Defined: image1:=(fun (A:fofType) (Xf:(fofType->fofType))=> (descr (fun (B:fofType)=> (forall (Xx:fofType), ((iff ((in Xx) B)) ((ex fofType) (fun (Xy:fofType)=> ((and ((in Xy) A)) (((eq fofType) Xx) (Xf Xy)))))))))) % FOF formula (descrp->(in__Cong->(image1Ex1->(forall (A:fofType) (Xf:(fofType->fofType)) (Xx:fofType), ((iff ((in Xx) ((image1 A) (fun (Xy:fofType)=> (Xf Xy))))) ((ex fofType) (fun (Xy:fofType)=> ((and ((in Xy) A)) (((eq fofType) Xx) (Xf Xy)))))))))) of role conjecture named image1Equiv % Conjecture to prove = (descrp->(in__Cong->(image1Ex1->(forall (A:fofType) (Xf:(fofType->fofType)) (Xx:fofType), ((iff ((in Xx) ((image1 A) (fun (Xy:fofType)=> (Xf Xy))))) ((ex fofType) (fun (Xy:fofType)=> ((and ((in Xy) A)) (((eq fofType) Xx) (Xf Xy)))))))))):Prop % Parameter fofType_DUMMY:fofType. % We need to prove ['(descrp->(in__Cong->(image1Ex1->(forall (A:fofType) (Xf:(fofType->fofType)) (Xx:fofType), ((iff ((in Xx) ((image1 A) (fun (Xy:fofType)=> (Xf Xy))))) ((ex fofType) (fun (Xy:fofType)=> ((and ((in Xy) A)) (((eq fofType) Xx) (Xf Xy))))))))))'] % Parameter fofType:Type. % Parameter in:(fofType->(fofType->Prop)). % Definition exu:=(fun (Xphi:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((and (Xphi Xx)) (forall (Xy:fofType), ((Xphi Xy)->(((eq fofType) Xx) Xy))))))):((fofType->Prop)->Prop). % Parameter descr:((fofType->Prop)->fofType). % Definition descrp:=(forall (Xphi:(fofType->Prop)), ((exu (fun (Xx:fofType)=> (Xphi Xx)))->(Xphi (descr (fun (Xx:fofType)=> (Xphi Xx)))))):Prop. % Definition in__Cong:=(forall (A:fofType) (B:fofType), ((((eq fofType) A) B)->(forall (Xx:fofType) (Xy:fofType), ((((eq fofType) Xx) Xy)->((iff ((in Xx) A)) ((in Xy) B)))))):Prop. % Definition image1Ex1:=(forall (A:fofType) (Xf:(fofType->fofType)), (exu (fun (B:fofType)=> (forall (Xx:fofType), ((iff ((in Xx) B)) ((ex fofType) (fun (Xy:fofType)=> ((and ((in Xy) A)) (((eq fofType) Xx) (Xf Xy)))))))))):Prop. % Definition image1:=(fun (A:fofType) (Xf:(fofType->fofType))=> (descr (fun (B:fofType)=> (forall (Xx:fofType), ((iff ((in Xx) B)) ((ex fofType) (fun (Xy:fofType)=> ((and ((in Xy) A)) (((eq fofType) Xx) (Xf Xy)))))))))):(fofType->((fofType->fofType)->fofType)). % Trying to prove (descrp->(in__Cong->(image1Ex1->(forall (A:fofType) (Xf:(fofType->fofType)) (Xx:fofType), ((iff ((in Xx) ((image1 A) (fun (Xy:fofType)=> (Xf Xy))))) ((ex fofType) (fun (Xy:fofType)=> ((and ((in Xy) A)) (((eq fofType) Xx) (Xf Xy)))))))))) % Found x100:=(x10 Xf):(exu (fun (B:fofType)=> (forall (Xx:fofType), ((iff ((in Xx) B)) ((ex fofType) (fun (Xy:fofType)=> ((and ((in Xy) A)) (((eq fofType) Xx) (Xf Xy))))))))) % Found (x10 Xf) as proof of (exu (fun (Xx:fofType)=> (forall (Xx0:fofType), ((iff ((in Xx0) Xx)) ((ex fofType) (fun (Xy:fofType)=> ((and ((in Xy) A)) (((eq fofType) Xx0) (Xf Xy))))))))) % Found ((x1 A) Xf) as proof of (exu (fun (Xx:fofType)=> (forall (Xx0:fofType), ((iff ((in Xx0) Xx)) ((ex fofType) (fun (Xy:fofType)=> ((and ((in Xy) A)) (((eq fofType) Xx0) (Xf Xy))))))))) % Found ((x1 A) Xf) as proof of (exu (fun (Xx:fofType)=> (forall (Xx0:fofType), ((iff ((in Xx0) Xx)) ((ex fofType) (fun (Xy:fofType)=> ((and ((in Xy) A)) (((eq fofType) Xx0) (Xf Xy))))))))) % Found (x2 ((x1 A) Xf)) as proof of (forall (Xx:fofType), ((iff ((in Xx) ((image1 A) (fun (Xy:fofType)=> (Xf Xy))))) ((ex fofType) (fun (Xy:fofType)=> ((and ((in Xy) A)) (((eq fofType) Xx) (Xf Xy))))))) % Found ((x (fun (x3:fofType)=> (forall (Xx:fofType), ((iff ((in Xx) x3)) ((ex fofType) (fun (Xy:fofType)=> ((and ((in Xy) A)) (((eq fofType) Xx) (Xf Xy))))))))) ((x1 A) Xf)) as proof of (forall (Xx:fofType), ((iff ((in Xx) ((image1 A) (fun (Xy:fofType)=> (Xf Xy))))) ((ex fofType) (fun (Xy:fofType)=> ((and ((in Xy) A)) (((eq fofType) Xx) (Xf Xy))))))) % Found (fun (Xf:(fofType->fofType))=> ((x (fun (x3:fofType)=> (forall (Xx:fofType), ((iff ((in Xx) x3)) ((ex fofType) (fun (Xy:fofType)=> ((and ((in Xy) A)) (((eq fofType) Xx) (Xf Xy))))))))) ((x1 A) Xf))) as proof of (forall (Xx:fofType), ((iff ((in Xx) ((image1 A) (fun (Xy:fofType)=> (Xf Xy))))) ((ex fofType) (fun (Xy:fofType)=> ((and ((in Xy) A)) (((eq fofType) Xx) (Xf Xy))))))) % Found (fun (A:fofType) (Xf:(fofType->fofType))=> ((x (fun (x3:fofType)=> (forall (Xx:fofType), ((iff ((in Xx) x3)) ((ex fofType) (fun (Xy:fofType)=> ((and ((in Xy) A)) (((eq fofType) Xx) (Xf Xy))))))))) ((x1 A) Xf))) as proof of (forall (Xf:(fofType->fofType)) (Xx:fofType), ((iff ((in Xx) ((image1 A) (fun (Xy:fofType)=> (Xf Xy))))) ((ex fofType) (fun (Xy:fofType)=> ((and ((in Xy) A)) (((eq fofType) Xx) (Xf Xy))))))) % Found (fun (x1:image1Ex1) (A:fofType) (Xf:(fofType->fofType))=> ((x (fun (x3:fofType)=> (forall (Xx:fofType), ((iff ((in Xx) x3)) ((ex fofType) (fun (Xy:fofType)=> ((and ((in Xy) A)) (((eq fofType) Xx) (Xf Xy))))))))) ((x1 A) Xf))) as proof of (forall (A:fofType) (Xf:(fofType->fofType)) (Xx:fofType), ((iff ((in Xx) ((image1 A) (fun (Xy:fofType)=> (Xf Xy))))) ((ex fofType) (fun (Xy:fofType)=> ((and ((in Xy) A)) (((eq fofType) Xx) (Xf Xy))))))) % Found (fun (x0:in__Cong) (x1:image1Ex1) (A:fofType) (Xf:(fofType->fofType))=> ((x (fun (x3:fofType)=> (forall (Xx:fofType), ((iff ((in Xx) x3)) ((ex fofType) (fun (Xy:fofType)=> ((and ((in Xy) A)) (((eq fofType) Xx) (Xf Xy))))))))) ((x1 A) Xf))) as proof of (image1Ex1->(forall (A:fofType) (Xf:(fofType->fofType)) (Xx:fofType), ((iff ((in Xx) ((image1 A) (fun (Xy:fofType)=> (Xf Xy))))) ((ex fofType) (fun (Xy:fofType)=> ((and ((in Xy) A)) (((eq fofType) Xx) (Xf Xy)))))))) % Found (fun (x:descrp) (x0:in__Cong) (x1:image1Ex1) (A:fofType) (Xf:(fofType->fofType))=> ((x (fun (x3:fofType)=> (forall (Xx:fofType), ((iff ((in Xx) x3)) ((ex fofType) (fun (Xy:fofType)=> ((and ((in Xy) A)) (((eq fofType) Xx) (Xf Xy))))))))) ((x1 A) Xf))) as proof of (in__Cong->(image1Ex1->(forall (A:fofType) (Xf:(fofType->fofType)) (Xx:fofType), ((iff ((in Xx) ((image1 A) (fun (Xy:fofType)=> (Xf Xy))))) ((ex fofType) (fun (Xy:fofType)=> ((and ((in Xy) A)) (((eq fofType) Xx) (Xf Xy))))))))) % Found (fun (x:descrp) (x0:in__Cong) (x1:image1Ex1) (A:fofType) (Xf:(fofType->fofType))=> ((x (fun (x3:fofType)=> (forall (Xx:fofType), ((iff ((in Xx) x3)) ((ex fofType) (fun (Xy:fofType)=> ((and ((in Xy) A)) (((eq fofType) Xx) (Xf Xy))))))))) ((x1 A) Xf))) as proof of (descrp->(in__Cong->(image1Ex1->(forall (A:fofType) (Xf:(fofType->fofType)) (Xx:fofType), ((iff ((in Xx) ((image1 A) (fun (Xy:fofType)=> (Xf Xy))))) ((ex fofType) (fun (Xy:fofType)=> ((and ((in Xy) A)) (((eq fofType) Xx) (Xf Xy)))))))))) % Got proof (fun (x:descrp) (x0:in__Cong) (x1:image1Ex1) (A:fofType) (Xf:(fofType->fofType))=> ((x (fun (x3:fofType)=> (forall (Xx:fofType), ((iff ((in Xx) x3)) ((ex fofType) (fun (Xy:fofType)=> ((and ((in Xy) A)) (((eq fofType) Xx) (Xf Xy))))))))) ((x1 A) Xf))) % Time elapsed = 0.915760s % node=101 cost=-98.000000 depth=10 % :::::::::::::::::::::: % % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p % (fun (x:descrp) (x0:in__Cong) (x1:image1Ex1) (A:fofType) (Xf:(fofType->fofType))=> ((x (fun (x3:fofType)=> (forall (Xx:fofType), ((iff ((in Xx) x3)) ((ex fofType) (fun (Xy:fofType)=> ((and ((in Xy) A)) (((eq fofType) Xx) (Xf Xy))))))))) ((x1 A) Xf))) % % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p % EOF %------------------------------------------------------------------------------