TSTP Solution File: SEU541^2 by cocATP---0.2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cocATP---0.2.0
% Problem  : SEU541^2 : TPTP v6.1.0. Released v3.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n089.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 13:32:25 EDT 2014

% Result   : Theorem 0.33s
% Output   : Proof 0.33s
% Verified : 
% SZS Type : None (Parsing solution fails)
% Syntax   : Number of formulae    : 0

% Comments : 
%------------------------------------------------------------------------------
%----ERROR: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem  : SEU541^2 : TPTP v6.1.0. Released v3.7.0.
% % Command  : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% % Computer : n089.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 10:35:46 CDT 2014
% % CPUTime  : 0.33 
% 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 0x19b8d40>, <kernel.DependentProduct object at 0x19b83b0>) of role type named in_type
% Using role type
% Declaring in:(fofType->(fofType->Prop))
% FOF formula (<kernel.Constant object at 0x1de9a70>, <kernel.Single object at 0x19b8b00>) of role type named emptyset_type
% Using role type
% Declaring emptyset:fofType
% FOF formula (<kernel.Constant object at 0x19b83b0>, <kernel.DependentProduct object at 0x19b8cf8>) of role type named prop2set_type
% Using role type
% Declaring prop2set:(Prop->fofType)
% FOF formula (<kernel.Constant object at 0x19b85a8>, <kernel.Sort object at 0x187d248>) of role type named prop2setI_type
% Using role type
% Declaring prop2setI:Prop
% FOF formula (((eq Prop) prop2setI) (forall (Xphi:Prop), (Xphi->((in emptyset) (prop2set Xphi))))) of role definition named prop2setI
% A new definition: (((eq Prop) prop2setI) (forall (Xphi:Prop), (Xphi->((in emptyset) (prop2set Xphi)))))
% Defined: prop2setI:=(forall (Xphi:Prop), (Xphi->((in emptyset) (prop2set Xphi))))
% FOF formula (<kernel.Constant object at 0x19b85f0>, <kernel.DependentProduct object at 0x19b8e60>) of role type named set2prop_type
% Using role type
% Declaring set2prop:(fofType->Prop)
% FOF formula (((eq (fofType->Prop)) set2prop) (fun (A:fofType)=> ((in emptyset) A))) of role definition named set2prop
% A new definition: (((eq (fofType->Prop)) set2prop) (fun (A:fofType)=> ((in emptyset) A)))
% Defined: set2prop:=(fun (A:fofType)=> ((in emptyset) A))
% FOF formula (prop2setI->(forall (Xphi:Prop), (Xphi->(set2prop (prop2set Xphi))))) of role conjecture named prop2set2propI
% Conjecture to prove = (prop2setI->(forall (Xphi:Prop), (Xphi->(set2prop (prop2set Xphi))))):Prop
% We need to prove ['(prop2setI->(forall (Xphi:Prop), (Xphi->(set2prop (prop2set Xphi)))))']
% Parameter fofType:Type.
% Parameter in:(fofType->(fofType->Prop)).
% Parameter emptyset:fofType.
% Parameter prop2set:(Prop->fofType).
% Definition prop2setI:=(forall (Xphi:Prop), (Xphi->((in emptyset) (prop2set Xphi)))):Prop.
% Definition set2prop:=(fun (A:fofType)=> ((in emptyset) A)):(fofType->Prop).
% Trying to prove (prop2setI->(forall (Xphi:Prop), (Xphi->(set2prop (prop2set Xphi)))))
% Found x:prop2setI
% Found (fun (x:prop2setI)=> x) as proof of (forall (Xphi:Prop), (Xphi->(set2prop (prop2set Xphi))))
% Found (fun (x:prop2setI)=> x) as proof of (prop2setI->(forall (Xphi:Prop), (Xphi->(set2prop (prop2set Xphi)))))
% Got proof (fun (x:prop2setI)=> x)
% Time elapsed = 0.016445s
% node=1 cost=3.000000 depth=1
% ::::::::::::::::::::::
% % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% (fun (x:prop2setI)=> x)
% % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% EOF
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