TSTP Solution File: SEV294^5 by cocATP---0.2.0
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%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : SEV294^5 : TPTP v6.2.0. Bugfixed v6.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n042.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 2.6.32-504.8.1.el6.x86_64
% CPULimit : 300s
% DateTime : Wed May 6 14:27:24 EDT 2015
% Result : Unknown 8.24s
% Output : None
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.02 % Problem : SEV294^5 : TPTP v6.2.0. Bugfixed v6.2.0.
% 0.01/0.03 % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.02/1.07 % Computer : n042.star.cs.uiowa.edu
% 0.02/1.07 % Model : x86_64 x86_64
% 0.02/1.07 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.02/1.07 % Memory : 32286.75MB
% 0.02/1.07 % OS : Linux 2.6.32-504.8.1.el6.x86_64
% 0.02/1.07 % CPULimit : 300
% 0.02/1.07 % DateTime : Thu Apr 16 12:12:52 CDT 2015
% 0.02/1.08 % CPUTime :
% 0.02/1.09 Python 2.7.5
% 0.04/1.36 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/']
% 0.04/1.36 FOF formula (<kernel.Constant object at 0x2a99290>, <kernel.DependentProduct object at 0x26b9440>) of role type named cNAT_type
% 0.04/1.36 Using role type
% 0.04/1.36 Declaring cNAT:(((fofType->Prop)->Prop)->Prop)
% 0.04/1.36 FOF formula (<kernel.Constant object at 0x2a99b48>, <kernel.DependentProduct object at 0x26b9950>) of role type named cSUCC_type
% 0.04/1.36 Using role type
% 0.04/1.36 Declaring cSUCC:(((fofType->Prop)->Prop)->((fofType->Prop)->Prop))
% 0.04/1.36 FOF formula (<kernel.Constant object at 0x2a79518>, <kernel.DependentProduct object at 0x26b9440>) of role type named cZERO_type
% 0.04/1.36 Using role type
% 0.04/1.36 Declaring cZERO:((fofType->Prop)->Prop)
% 0.04/1.36 FOF formula (((eq ((fofType->Prop)->Prop)) cZERO) (fun (Xp:(fofType->Prop))=> (((ex fofType) (fun (Xx:fofType)=> (Xp Xx)))->False))) of role definition named cZERO_def
% 0.04/1.36 A new definition: (((eq ((fofType->Prop)->Prop)) cZERO) (fun (Xp:(fofType->Prop))=> (((ex fofType) (fun (Xx:fofType)=> (Xp Xx)))->False)))
% 0.04/1.36 Defined: cZERO:=(fun (Xp:(fofType->Prop))=> (((ex fofType) (fun (Xx:fofType)=> (Xp Xx)))->False))
% 0.04/1.36 FOF formula (((eq (((fofType->Prop)->Prop)->((fofType->Prop)->Prop))) cSUCC) (fun (Xn:((fofType->Prop)->Prop)) (Xp:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((and (Xp Xx)) (Xn (fun (Xt:fofType)=> ((and (not (((eq fofType) Xt) Xx))) (Xp Xt))))))))) of role definition named cSUCC_def
% 0.04/1.36 A new definition: (((eq (((fofType->Prop)->Prop)->((fofType->Prop)->Prop))) cSUCC) (fun (Xn:((fofType->Prop)->Prop)) (Xp:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((and (Xp Xx)) (Xn (fun (Xt:fofType)=> ((and (not (((eq fofType) Xt) Xx))) (Xp Xt)))))))))
% 0.04/1.36 Defined: cSUCC:=(fun (Xn:((fofType->Prop)->Prop)) (Xp:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((and (Xp Xx)) (Xn (fun (Xt:fofType)=> ((and (not (((eq fofType) Xt) Xx))) (Xp Xt))))))))
% 0.04/1.36 FOF formula (((eq (((fofType->Prop)->Prop)->Prop)) cNAT) (fun (Xn:((fofType->Prop)->Prop))=> (forall (Xp:(((fofType->Prop)->Prop)->Prop)), (((and (Xp cZERO)) (forall (Xx:((fofType->Prop)->Prop)), ((Xp Xx)->(Xp (cSUCC Xx)))))->(Xp Xn))))) of role definition named cNAT_def
% 0.04/1.36 A new definition: (((eq (((fofType->Prop)->Prop)->Prop)) cNAT) (fun (Xn:((fofType->Prop)->Prop))=> (forall (Xp:(((fofType->Prop)->Prop)->Prop)), (((and (Xp cZERO)) (forall (Xx:((fofType->Prop)->Prop)), ((Xp Xx)->(Xp (cSUCC Xx)))))->(Xp Xn)))))
% 0.04/1.36 Defined: cNAT:=(fun (Xn:((fofType->Prop)->Prop))=> (forall (Xp:(((fofType->Prop)->Prop)->Prop)), (((and (Xp cZERO)) (forall (Xx:((fofType->Prop)->Prop)), ((Xp Xx)->(Xp (cSUCC Xx)))))->(Xp Xn))))
% 0.04/1.36 FOF formula (forall (Xp:(((fofType->Prop)->Prop)->Prop)), (((and (Xp cZERO)) (forall (Xx:((fofType->Prop)->Prop)), ((cNAT Xx)->((Xp Xx)->(Xp (cSUCC Xx))))))->(forall (Xm:((fofType->Prop)->Prop)), ((cNAT Xm)->(Xp Xm))))) of role conjecture named cTTTP6102
% 0.04/1.36 Conjecture to prove = (forall (Xp:(((fofType->Prop)->Prop)->Prop)), (((and (Xp cZERO)) (forall (Xx:((fofType->Prop)->Prop)), ((cNAT Xx)->((Xp Xx)->(Xp (cSUCC Xx))))))->(forall (Xm:((fofType->Prop)->Prop)), ((cNAT Xm)->(Xp Xm))))):Prop
% 0.04/1.36 Parameter fofType_DUMMY:fofType.
% 0.04/1.36 We need to prove ['(forall (Xp:(((fofType->Prop)->Prop)->Prop)), (((and (Xp cZERO)) (forall (Xx:((fofType->Prop)->Prop)), ((cNAT Xx)->((Xp Xx)->(Xp (cSUCC Xx))))))->(forall (Xm:((fofType->Prop)->Prop)), ((cNAT Xm)->(Xp Xm)))))']
% 0.04/1.36 Parameter fofType:Type.
% 0.04/1.36 Definition cNAT:=(fun (Xn:((fofType->Prop)->Prop))=> (forall (Xp:(((fofType->Prop)->Prop)->Prop)), (((and (Xp cZERO)) (forall (Xx:((fofType->Prop)->Prop)), ((Xp Xx)->(Xp (cSUCC Xx)))))->(Xp Xn)))):(((fofType->Prop)->Prop)->Prop).
% 0.04/1.36 Definition cSUCC:=(fun (Xn:((fofType->Prop)->Prop)) (Xp:(fofType->Prop))=> ((ex fofType) (fun (Xx:fofType)=> ((and (Xp Xx)) (Xn (fun (Xt:fofType)=> ((and (not (((eq fofType) Xt) Xx))) (Xp Xt)))))))):(((fofType->Prop)->Prop)->((fofType->Prop)->Prop)).
% 0.04/1.36 Definition cZERO:=(fun (Xp:(fofType->Prop))=> (((ex fofType) (fun (Xx:fofType)=> (Xp Xx)))->False)):((fofType->Prop)->Prop).
% 0.04/1.36 Trying to prove (forall (Xp:(((fofType->Prop)->Prop)->Prop)), (((and (Xp cZERO)) (forall (Xx:((fofType->Prop)->Prop)), ((cNAT Xx)->((Xp Xx)->(Xp (cSUCC Xx))))))->(forall (Xm:((fofType->Prop)->Prop)), ((cNAT Xm)->(Xp Xm)))))
% 8.24/9.36 Found x1:(Xp cZERO)
% 8.24/9.36 Found x1 as proof of (Xp cZERO)
% 8.24/9.36 Found x1:(Xp cZERO)
% 8.24/9.36 Found (fun (x20:(forall (Xx:((fofType->Prop)->Prop)), ((cNAT Xx)->((Xp Xx)->(Xp (cSUCC Xx))))))=> x1) as proof of (Xp cZERO)
% 8.24/9.36 Found (fun (x20:(forall (Xx:((fofType->Prop)->Prop)), ((cNAT Xx)->((Xp Xx)->(Xp (cSUCC Xx))))))=> x1) as proof of ((forall (Xx:((fofType->Prop)->Prop)), ((cNAT Xx)->((Xp Xx)->(Xp (cSUCC Xx)))))->(Xp cZERO))
% 8.24/9.36 Found x1:(Xp cZERO)
% 8.24/9.36 Found x1 as proof of (Xp cZERO)
% 8.24/9.36 Found x10:(Xp cZERO)
% 8.24/9.36 Found (fun (x20:(forall (Xx:((fofType->Prop)->Prop)), ((cNAT Xx)->((Xp Xx)->(Xp (cSUCC Xx))))))=> x10) as proof of (Xp cZERO)
% 8.24/9.36 Found (fun (x10:(Xp cZERO)) (x20:(forall (Xx:((fofType->Prop)->Prop)), ((cNAT Xx)->((Xp Xx)->(Xp (cSUCC Xx))))))=> x10) as proof of ((forall (Xx:((fofType->Prop)->Prop)), ((cNAT Xx)->((Xp Xx)->(Xp (cSUCC Xx)))))->(Xp cZERO))
% 8.24/9.36 Found (fun (x10:(Xp cZERO)) (x20:(forall (Xx:((fofType->Prop)->Prop)), ((cNAT Xx)->((Xp Xx)->(Xp (cSUCC Xx))))))=> x10) as proof of ((Xp cZERO)->((forall (Xx:((fofType->Prop)->Prop)), ((cNAT Xx)->((Xp Xx)->(Xp (cSUCC Xx)))))->(Xp cZERO)))
% 8.24/9.36 Found x3:(Xp Xx)
% 8.24/9.36 Found x3 as proof of (Xp Xx)
% 8.24/9.36 Found x3:(Xp Xx)
% 8.24/9.36 Found x3 as proof of (Xp Xx)
% 8.24/9.36 Found x3:(Xp Xx)
% 8.24/9.36 Found x3 as proof of (Xp Xx)
% 8.24/9.36 Found x3:(Xp Xx)
% 8.24/9.36 Found x3 as proof of (Xp Xx)
% 8.24/9.36 Found x3:(Xp Xx)
% 8.24/9.36 Found x3 as proof of (Xp Xx)
% 8.24/9.36 Found x21:=(x2 x20):(Xp Xx)
% 8.24/9.36 Found (x2 x20) as proof of (Xp Xx)
% 8.24/9.36 Found (x2 x20) as proof of (Xp Xx)
% 8.24/9.36 Found x3:(Xp Xx)
% 8.24/9.36 Found x3 as proof of (Xp Xx)
% 8.24/9.36 Found x1:(Xp cZERO)
% 8.24/9.36 Found (fun (x2:(forall (Xx:((fofType->Prop)->Prop)), ((cNAT Xx)->((Xp Xx)->(Xp (cSUCC Xx))))))=> x1) as proof of (Xp cZERO)
% 8.24/9.36 Found (fun (x1:(Xp cZERO)) (x2:(forall (Xx:((fofType->Prop)->Prop)), ((cNAT Xx)->((Xp Xx)->(Xp (cSUCC Xx))))))=> x1) as proof of ((forall (Xx:((fofType->Prop)->Prop)), ((cNAT Xx)->((Xp Xx)->(Xp (cSUCC Xx)))))->(Xp cZERO))
% 8.24/9.36 Found (fun (x1:(Xp cZERO)) (x2:(forall (Xx:((fofType->Prop)->Prop)), ((cNAT Xx)->((Xp Xx)->(Xp (cSUCC Xx))))))=> x1) as proof of ((Xp cZERO)->((forall (Xx:((fofType->Prop)->Prop)), ((cNAT Xx)->((Xp Xx)->(Xp (cSUCC Xx)))))->(Xp cZERO)))
% 8.24/9.36 Found (and_rect00 (fun (x1:(Xp cZERO)) (x2:(forall (Xx:((fofType->Prop)->Prop)), ((cNAT Xx)->((Xp Xx)->(Xp (cSUCC Xx))))))=> x1)) as proof of (Xp cZERO)
% 8.24/9.36 Found ((and_rect0 (Xp cZERO)) (fun (x1:(Xp cZERO)) (x2:(forall (Xx:((fofType->Prop)->Prop)), ((cNAT Xx)->((Xp Xx)->(Xp (cSUCC Xx))))))=> x1)) as proof of (Xp cZERO)
% 8.24/9.36 Found (((fun (P:Type) (x1:((Xp cZERO)->((forall (Xx:((fofType->Prop)->Prop)), ((cNAT Xx)->((Xp Xx)->(Xp (cSUCC Xx)))))->P)))=> (((((and_rect (Xp cZERO)) (forall (Xx:((fofType->Prop)->Prop)), ((cNAT Xx)->((Xp Xx)->(Xp (cSUCC Xx)))))) P) x1) x)) (Xp cZERO)) (fun (x1:(Xp cZERO)) (x2:(forall (Xx:((fofType->Prop)->Prop)), ((cNAT Xx)->((Xp Xx)->(Xp (cSUCC Xx))))))=> x1)) as proof of (Xp cZERO)
% 8.24/9.36 Found (((fun (P:Type) (x1:((Xp cZERO)->((forall (Xx:((fofType->Prop)->Prop)), ((cNAT Xx)->((Xp Xx)->(Xp (cSUCC Xx)))))->P)))=> (((((and_rect (Xp cZERO)) (forall (Xx:((fofType->Prop)->Prop)), ((cNAT Xx)->((Xp Xx)->(Xp (cSUCC Xx)))))) P) x1) x)) (Xp cZERO)) (fun (x1:(Xp cZERO)) (x2:(forall (Xx:((fofType->Prop)->Prop)), ((cNAT Xx)->((Xp Xx)->(Xp (cSUCC Xx))))))=> x1)) as proof of (Xp cZERO)
% 8.24/9.36 Found x1:(Xp Xx)
% 8.24/9.36 Found x1 as proof of (Xp Xx)
% 8.24/9.36 Found x110:=(x11 x20):(Xp Xx)
% 8.24/9.36 Found (x11 x20) as proof of (Xp Xx)
% 8.24/9.36 Found ((x1 x10) x20) as proof of (Xp Xx)
% 8.24/9.36 Found ((x1 x10) x20) as proof of (Xp Xx)
% 8.24/9.36 Found x20:(Xp Xx)
% 8.24/9.36 Found x20 as proof of (Xp Xx)
% 8.24/9.36 Found x200:(forall (Xx0:((fofType->Prop)->Prop)), ((cNAT Xx0)->((Xp Xx0)->(Xp (cSUCC Xx0)))))
% 8.24/9.36 Found x200 as proof of (forall (Xx0:((fofType->Prop)->Prop)), ((cNAT Xx0)->((Xp Xx0)->(Xp (cSUCC Xx0)))))
% 8.24/9.36 Found x21:(Xp Xx)
% 8.24/9.36 Found x21 as proof of (Xp Xx)
% 8.24/9.36 Found x200:(forall (Xx0:((fofType->Prop)->Prop)), ((cNAT Xx0)->((Xp Xx0)->(Xp (cSUCC Xx0)))))
% 8.24/9.36 Found x200 as proof of (forall (Xx0:((fofType->Prop)->Prop)), ((cNAT Xx0)->((Xp Xx0)->(Xp (cSUCC Xx0)))))
% 8.24/9.36 % SZS status GaveUp for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------