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cocATP---0.2.0.THM-Prf.s

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SystemOnTSTP Download .tgz 
%------------------------------------------------------------------------------
% File     : cocATP---0.2.0
% Problem  : SEV413^5 : TPTP v6.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n189.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 13:34:10 EDT 2014

% Result   : Theorem 0.53s
% Output   : Proof 0.53s
% Verified : 
% SZS Type : None (Parsing solution fails)
% Syntax   : Number of formulae    : 0

% Comments : 
%------------------------------------------------------------------------------
%----ERROR: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem  : SEV413^5 : TPTP v6.1.0. Released v4.0.0.
% % Command  : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% % Computer : n189.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 09:10:26 CDT 2014
% % CPUTime  : 0.53 
% 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 0x2324cf8>, <kernel.DependentProduct object at 0x2324680>) of role type named cB
% Using role type
% Declaring cB:(fofType->Prop)
% FOF formula (<kernel.Constant object at 0x26e1518>, <kernel.DependentProduct object at 0x2324ea8>) of role type named cA
% Using role type
% Declaring cA:(fofType->Prop)
% FOF formula (((or (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) (forall (Xx:fofType), ((cA Xx)->(cB Xx))))->((and (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) (forall (Xx:fofType), ((cA Xx)->(cB Xx))))) of role conjecture named cDUAL_EG5_pme
% Conjecture to prove = (((or (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) (forall (Xx:fofType), ((cA Xx)->(cB Xx))))->((and (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) (forall (Xx:fofType), ((cA Xx)->(cB Xx))))):Prop
% Parameter fofType_DUMMY:fofType.
% We need to prove ['(((or (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) (forall (Xx:fofType), ((cA Xx)->(cB Xx))))->((and (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) (forall (Xx:fofType), ((cA Xx)->(cB Xx)))))']
% Parameter fofType:Type.
% Parameter cB:(fofType->Prop).
% Parameter cA:(fofType->Prop).
% Trying to prove (((or (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) (forall (Xx:fofType), ((cA Xx)->(cB Xx))))->((and (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) (forall (Xx:fofType), ((cA Xx)->(cB Xx)))))
% Found conj0000:=(conj000 x0):((and (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) (forall (Xx:fofType), ((cA Xx)->(cB Xx))))
% Found (conj000 x0) as proof of ((and (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) (forall (Xx:fofType), ((cA Xx)->(cB Xx))))
% Found ((conj00 (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) x0) as proof of ((and (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) (forall (Xx:fofType), ((cA Xx)->(cB Xx))))
% Found (((fun (B:Prop)=> ((conj0 B) x0)) (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) x0) as proof of ((and (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) (forall (Xx:fofType), ((cA Xx)->(cB Xx))))
% Found (((fun (B:Prop)=> (((conj (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) B) x0)) (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) x0) as proof of ((and (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) (forall (Xx:fofType), ((cA Xx)->(cB Xx))))
% Found (fun (x0:(forall (Xx:fofType), ((cA Xx)->(cB Xx))))=> (((fun (B:Prop)=> (((conj (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) B) x0)) (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) x0)) as proof of ((and (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) (forall (Xx:fofType), ((cA Xx)->(cB Xx))))
% Found (fun (x0:(forall (Xx:fofType), ((cA Xx)->(cB Xx))))=> (((fun (B:Prop)=> (((conj (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) B) x0)) (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) x0)) as proof of ((forall (Xx:fofType), ((cA Xx)->(cB Xx)))->((and (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) (forall (Xx:fofType), ((cA Xx)->(cB Xx)))))
% Found x0:(forall (Xx:fofType), ((cA Xx)->(cB Xx)))
% Found x0 as proof of (forall (Xx:fofType), ((cA Xx)->(cB Xx)))
% Found (conj000 x0) as proof of ((and (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) (forall (Xx:fofType), ((cA Xx)->(cB Xx))))
% Found ((conj00 (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) x0) as proof of ((and (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) (forall (Xx:fofType), ((cA Xx)->(cB Xx))))
% Found (((fun (B:Prop)=> ((conj0 B) x0)) (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) x0) as proof of ((and (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) (forall (Xx:fofType), ((cA Xx)->(cB Xx))))
% Found (((fun (B:Prop)=> (((conj (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) B) x0)) (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) x0) as proof of ((and (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) (forall (Xx:fofType), ((cA Xx)->(cB Xx))))
% Found (fun (x0:(forall (Xx:fofType), ((cA Xx)->(cB Xx))))=> (((fun (B:Prop)=> (((conj (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) B) x0)) (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) x0)) as proof of ((and (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) (forall (Xx:fofType), ((cA Xx)->(cB Xx))))
% Found (fun (x0:(forall (Xx:fofType), ((cA Xx)->(cB Xx))))=> (((fun (B:Prop)=> (((conj (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) B) x0)) (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) x0)) as proof of ((forall (Xx:fofType), ((cA Xx)->(cB Xx)))->((and (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) (forall (Xx:fofType), ((cA Xx)->(cB Xx)))))
% Found ((or_ind00 (fun (x0:(forall (Xx:fofType), ((cA Xx)->(cB Xx))))=> (((fun (B:Prop)=> (((conj (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) B) x0)) (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) x0))) (fun (x0:(forall (Xx:fofType), ((cA Xx)->(cB Xx))))=> (((fun (B:Prop)=> (((conj (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) B) x0)) (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) x0))) as proof of ((and (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) (forall (Xx:fofType), ((cA Xx)->(cB Xx))))
% Found (((or_ind0 ((and (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) (forall (Xx:fofType), ((cA Xx)->(cB Xx))))) (fun (x0:(forall (Xx:fofType), ((cA Xx)->(cB Xx))))=> (((fun (B:Prop)=> (((conj (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) B) x0)) (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) x0))) (fun (x0:(forall (Xx:fofType), ((cA Xx)->(cB Xx))))=> (((fun (B:Prop)=> (((conj (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) B) x0)) (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) x0))) as proof of ((and (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) (forall (Xx:fofType), ((cA Xx)->(cB Xx))))
% Found ((((fun (P:Prop) (x0:((forall (Xx:fofType), ((cA Xx)->(cB Xx)))->P)) (x1:((forall (Xx:fofType), ((cA Xx)->(cB Xx)))->P))=> ((((((or_ind (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) P) x0) x1) x)) ((and (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) (forall (Xx:fofType), ((cA Xx)->(cB Xx))))) (fun (x0:(forall (Xx:fofType), ((cA Xx)->(cB Xx))))=> (((fun (B:Prop)=> (((conj (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) B) x0)) (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) x0))) (fun (x0:(forall (Xx:fofType), ((cA Xx)->(cB Xx))))=> (((fun (B:Prop)=> (((conj (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) B) x0)) (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) x0))) as proof of ((and (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) (forall (Xx:fofType), ((cA Xx)->(cB Xx))))
% Found (fun (x:((or (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) (forall (Xx:fofType), ((cA Xx)->(cB Xx)))))=> ((((fun (P:Prop) (x0:((forall (Xx:fofType), ((cA Xx)->(cB Xx)))->P)) (x1:((forall (Xx:fofType), ((cA Xx)->(cB Xx)))->P))=> ((((((or_ind (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) P) x0) x1) x)) ((and (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) (forall (Xx:fofType), ((cA Xx)->(cB Xx))))) (fun (x0:(forall (Xx:fofType), ((cA Xx)->(cB Xx))))=> (((fun (B:Prop)=> (((conj (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) B) x0)) (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) x0))) (fun (x0:(forall (Xx:fofType), ((cA Xx)->(cB Xx))))=> (((fun (B:Prop)=> (((conj (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) B) x0)) (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) x0)))) as proof of ((and (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) (forall (Xx:fofType), ((cA Xx)->(cB Xx))))
% Found (fun (x:((or (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) (forall (Xx:fofType), ((cA Xx)->(cB Xx)))))=> ((((fun (P:Prop) (x0:((forall (Xx:fofType), ((cA Xx)->(cB Xx)))->P)) (x1:((forall (Xx:fofType), ((cA Xx)->(cB Xx)))->P))=> ((((((or_ind (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) P) x0) x1) x)) ((and (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) (forall (Xx:fofType), ((cA Xx)->(cB Xx))))) (fun (x0:(forall (Xx:fofType), ((cA Xx)->(cB Xx))))=> (((fun (B:Prop)=> (((conj (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) B) x0)) (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) x0))) (fun (x0:(forall (Xx:fofType), ((cA Xx)->(cB Xx))))=> (((fun (B:Prop)=> (((conj (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) B) x0)) (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) x0)))) as proof of (((or (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) (forall (Xx:fofType), ((cA Xx)->(cB Xx))))->((and (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) (forall (Xx:fofType), ((cA Xx)->(cB Xx)))))
% Got proof (fun (x:((or (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) (forall (Xx:fofType), ((cA Xx)->(cB Xx)))))=> ((((fun (P:Prop) (x0:((forall (Xx:fofType), ((cA Xx)->(cB Xx)))->P)) (x1:((forall (Xx:fofType), ((cA Xx)->(cB Xx)))->P))=> ((((((or_ind (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) P) x0) x1) x)) ((and (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) (forall (Xx:fofType), ((cA Xx)->(cB Xx))))) (fun (x0:(forall (Xx:fofType), ((cA Xx)->(cB Xx))))=> (((fun (B:Prop)=> (((conj (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) B) x0)) (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) x0))) (fun (x0:(forall (Xx:fofType), ((cA Xx)->(cB Xx))))=> (((fun (B:Prop)=> (((conj (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) B) x0)) (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) x0))))
% Time elapsed = 0.218239s
% node=61 cost=204.000000 depth=11
% ::::::::::::::::::::::
% % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% (fun (x:((or (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) (forall (Xx:fofType), ((cA Xx)->(cB Xx)))))=> ((((fun (P:Prop) (x0:((forall (Xx:fofType), ((cA Xx)->(cB Xx)))->P)) (x1:((forall (Xx:fofType), ((cA Xx)->(cB Xx)))->P))=> ((((((or_ind (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) P) x0) x1) x)) ((and (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) (forall (Xx:fofType), ((cA Xx)->(cB Xx))))) (fun (x0:(forall (Xx:fofType), ((cA Xx)->(cB Xx))))=> (((fun (B:Prop)=> (((conj (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) B) x0)) (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) x0))) (fun (x0:(forall (Xx:fofType), ((cA Xx)->(cB Xx))))=> (((fun (B:Prop)=> (((conj (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) B) x0)) (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) x0))))
% % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% EOF
%------------------------------------------------------------------------------