TSTP Solution File: SEV416^5 by cocATP---0.2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : SEV416^5 : TPTP v6.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n116.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 0.47s
% Output : Proof 0.47s
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----ERROR: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem : SEV416^5 : TPTP v6.1.0. Released v4.0.0.
% % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% % Computer : n116.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 09:10:41 CDT 2014
% % CPUTime : 0.47
% 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 0x161e830>, <kernel.Sort object at 0x18ccea8>) of role type named cG
% Using role type
% Declaring cG:Prop
% FOF formula (<kernel.Constant object at 0x161edd0>, <kernel.DependentProduct object at 0x161e998>) of role type named cB
% Using role type
% Declaring cB:(fofType->Prop)
% FOF formula (<kernel.Constant object at 0x181cb90>, <kernel.DependentProduct object at 0x161ec68>) of role type named cA
% Using role type
% Declaring cA:(fofType->Prop)
% FOF formula (((or (((and (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) (forall (Xx:fofType), ((cA Xx)->(cB Xx))))->cG)) ((forall (Xx:fofType), ((cA Xx)->(cB Xx)))->cG))->((forall (Xx:fofType), ((cA Xx)->(cB Xx)))->cG)) of role conjecture named cDUAL_EG3_pme
% Conjecture to prove = (((or (((and (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) (forall (Xx:fofType), ((cA Xx)->(cB Xx))))->cG)) ((forall (Xx:fofType), ((cA Xx)->(cB Xx)))->cG))->((forall (Xx:fofType), ((cA Xx)->(cB Xx)))->cG)):Prop
% Parameter fofType_DUMMY:fofType.
% We need to prove ['(((or (((and (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) (forall (Xx:fofType), ((cA Xx)->(cB Xx))))->cG)) ((forall (Xx:fofType), ((cA Xx)->(cB Xx)))->cG))->((forall (Xx:fofType), ((cA Xx)->(cB Xx)))->cG))']
% Parameter cG:Prop.
% Parameter fofType:Type.
% Parameter cB:(fofType->Prop).
% Parameter cA:(fofType->Prop).
% Trying to prove (((or (((and (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) (forall (Xx:fofType), ((cA Xx)->(cB Xx))))->cG)) ((forall (Xx:fofType), ((cA Xx)->(cB Xx)))->cG))->((forall (Xx:fofType), ((cA Xx)->(cB Xx)))->cG))
% Found x10:=(x1 x0):cG
% Found (x1 x0) as proof of cG
% Found (fun (x1:((forall (Xx:fofType), ((cA Xx)->(cB Xx)))->cG))=> (x1 x0)) as proof of cG
% Found (fun (x1:((forall (Xx:fofType), ((cA Xx)->(cB Xx)))->cG))=> (x1 x0)) as proof of (((forall (Xx:fofType), ((cA Xx)->(cB Xx)))->cG)->cG)
% 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 (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 (x1 (((fun (B:Prop)=> (((conj (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) B) x0)) (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) x0)) as proof of cG
% Found (fun (x1:(((and (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) (forall (Xx:fofType), ((cA Xx)->(cB Xx))))->cG))=> (x1 (((fun (B:Prop)=> (((conj (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) B) x0)) (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) x0))) as proof of cG
% Found (fun (x1:(((and (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) (forall (Xx:fofType), ((cA Xx)->(cB Xx))))->cG))=> (x1 (((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))))->cG)->cG)
% Found ((or_ind00 (fun (x1:(((and (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) (forall (Xx:fofType), ((cA Xx)->(cB Xx))))->cG))=> (x1 (((fun (B:Prop)=> (((conj (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) B) x0)) (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) x0)))) (fun (x1:((forall (Xx:fofType), ((cA Xx)->(cB Xx)))->cG))=> (x1 x0))) as proof of cG
% Found (((or_ind0 cG) (fun (x1:(((and (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) (forall (Xx:fofType), ((cA Xx)->(cB Xx))))->cG))=> (x1 (((fun (B:Prop)=> (((conj (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) B) x0)) (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) x0)))) (fun (x1:((forall (Xx:fofType), ((cA Xx)->(cB Xx)))->cG))=> (x1 x0))) as proof of cG
% Found ((((fun (P:Prop) (x1:((((and (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) (forall (Xx:fofType), ((cA Xx)->(cB Xx))))->cG)->P)) (x2:(((forall (Xx:fofType), ((cA Xx)->(cB Xx)))->cG)->P))=> ((((((or_ind (((and (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) (forall (Xx:fofType), ((cA Xx)->(cB Xx))))->cG)) ((forall (Xx:fofType), ((cA Xx)->(cB Xx)))->cG)) P) x1) x2) x)) cG) (fun (x1:(((and (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) (forall (Xx:fofType), ((cA Xx)->(cB Xx))))->cG))=> (x1 (((fun (B:Prop)=> (((conj (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) B) x0)) (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) x0)))) (fun (x1:((forall (Xx:fofType), ((cA Xx)->(cB Xx)))->cG))=> (x1 x0))) as proof of cG
% Found (fun (x0:(forall (Xx:fofType), ((cA Xx)->(cB Xx))))=> ((((fun (P:Prop) (x1:((((and (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) (forall (Xx:fofType), ((cA Xx)->(cB Xx))))->cG)->P)) (x2:(((forall (Xx:fofType), ((cA Xx)->(cB Xx)))->cG)->P))=> ((((((or_ind (((and (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) (forall (Xx:fofType), ((cA Xx)->(cB Xx))))->cG)) ((forall (Xx:fofType), ((cA Xx)->(cB Xx)))->cG)) P) x1) x2) x)) cG) (fun (x1:(((and (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) (forall (Xx:fofType), ((cA Xx)->(cB Xx))))->cG))=> (x1 (((fun (B:Prop)=> (((conj (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) B) x0)) (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) x0)))) (fun (x1:((forall (Xx:fofType), ((cA Xx)->(cB Xx)))->cG))=> (x1 x0)))) as proof of cG
% Found (fun (x:((or (((and (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) (forall (Xx:fofType), ((cA Xx)->(cB Xx))))->cG)) ((forall (Xx:fofType), ((cA Xx)->(cB Xx)))->cG))) (x0:(forall (Xx:fofType), ((cA Xx)->(cB Xx))))=> ((((fun (P:Prop) (x1:((((and (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) (forall (Xx:fofType), ((cA Xx)->(cB Xx))))->cG)->P)) (x2:(((forall (Xx:fofType), ((cA Xx)->(cB Xx)))->cG)->P))=> ((((((or_ind (((and (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) (forall (Xx:fofType), ((cA Xx)->(cB Xx))))->cG)) ((forall (Xx:fofType), ((cA Xx)->(cB Xx)))->cG)) P) x1) x2) x)) cG) (fun (x1:(((and (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) (forall (Xx:fofType), ((cA Xx)->(cB Xx))))->cG))=> (x1 (((fun (B:Prop)=> (((conj (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) B) x0)) (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) x0)))) (fun (x1:((forall (Xx:fofType), ((cA Xx)->(cB Xx)))->cG))=> (x1 x0)))) as proof of ((forall (Xx:fofType), ((cA Xx)->(cB Xx)))->cG)
% Found (fun (x:((or (((and (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) (forall (Xx:fofType), ((cA Xx)->(cB Xx))))->cG)) ((forall (Xx:fofType), ((cA Xx)->(cB Xx)))->cG))) (x0:(forall (Xx:fofType), ((cA Xx)->(cB Xx))))=> ((((fun (P:Prop) (x1:((((and (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) (forall (Xx:fofType), ((cA Xx)->(cB Xx))))->cG)->P)) (x2:(((forall (Xx:fofType), ((cA Xx)->(cB Xx)))->cG)->P))=> ((((((or_ind (((and (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) (forall (Xx:fofType), ((cA Xx)->(cB Xx))))->cG)) ((forall (Xx:fofType), ((cA Xx)->(cB Xx)))->cG)) P) x1) x2) x)) cG) (fun (x1:(((and (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) (forall (Xx:fofType), ((cA Xx)->(cB Xx))))->cG))=> (x1 (((fun (B:Prop)=> (((conj (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) B) x0)) (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) x0)))) (fun (x1:((forall (Xx:fofType), ((cA Xx)->(cB Xx)))->cG))=> (x1 x0)))) as proof of (((or (((and (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) (forall (Xx:fofType), ((cA Xx)->(cB Xx))))->cG)) ((forall (Xx:fofType), ((cA Xx)->(cB Xx)))->cG))->((forall (Xx:fofType), ((cA Xx)->(cB Xx)))->cG))
% Got proof (fun (x:((or (((and (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) (forall (Xx:fofType), ((cA Xx)->(cB Xx))))->cG)) ((forall (Xx:fofType), ((cA Xx)->(cB Xx)))->cG))) (x0:(forall (Xx:fofType), ((cA Xx)->(cB Xx))))=> ((((fun (P:Prop) (x1:((((and (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) (forall (Xx:fofType), ((cA Xx)->(cB Xx))))->cG)->P)) (x2:(((forall (Xx:fofType), ((cA Xx)->(cB Xx)))->cG)->P))=> ((((((or_ind (((and (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) (forall (Xx:fofType), ((cA Xx)->(cB Xx))))->cG)) ((forall (Xx:fofType), ((cA Xx)->(cB Xx)))->cG)) P) x1) x2) x)) cG) (fun (x1:(((and (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) (forall (Xx:fofType), ((cA Xx)->(cB Xx))))->cG))=> (x1 (((fun (B:Prop)=> (((conj (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) B) x0)) (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) x0)))) (fun (x1:((forall (Xx:fofType), ((cA Xx)->(cB Xx)))->cG))=> (x1 x0))))
% Time elapsed = 0.152356s
% node=21 cost=254.000000 depth=13
% ::::::::::::::::::::::
% % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% (fun (x:((or (((and (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) (forall (Xx:fofType), ((cA Xx)->(cB Xx))))->cG)) ((forall (Xx:fofType), ((cA Xx)->(cB Xx)))->cG))) (x0:(forall (Xx:fofType), ((cA Xx)->(cB Xx))))=> ((((fun (P:Prop) (x1:((((and (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) (forall (Xx:fofType), ((cA Xx)->(cB Xx))))->cG)->P)) (x2:(((forall (Xx:fofType), ((cA Xx)->(cB Xx)))->cG)->P))=> ((((((or_ind (((and (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) (forall (Xx:fofType), ((cA Xx)->(cB Xx))))->cG)) ((forall (Xx:fofType), ((cA Xx)->(cB Xx)))->cG)) P) x1) x2) x)) cG) (fun (x1:(((and (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) (forall (Xx:fofType), ((cA Xx)->(cB Xx))))->cG))=> (x1 (((fun (B:Prop)=> (((conj (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) B) x0)) (forall (Xx:fofType), ((cA Xx)->(cB Xx)))) x0)))) (fun (x1:((forall (Xx:fofType), ((cA Xx)->(cB Xx)))->cG))=> (x1 x0))))
% % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% EOF
%------------------------------------------------------------------------------