TSTP Solution File: SEU808^2 by cocATP---0.2.0
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%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : SEU808^2 : TPTP v6.1.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n104.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 13:33:11 EDT 2014
% Result : Theorem 0.34s
% Output : Proof 0.34s
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----ERROR: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem : SEU808^2 : TPTP v6.1.0. Released v3.7.0.
% % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% % Computer : n104.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 11:32:01 CDT 2014
% % CPUTime : 0.34
% 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 0x1aaf8c0>, <kernel.DependentProduct object at 0x1fab368>) of role type named in_type
% Using role type
% Declaring in:(fofType->(fofType->Prop))
% FOF formula (<kernel.Constant object at 0x1aaf950>, <kernel.DependentProduct object at 0x1fab368>) of role type named setadjoin_type
% Using role type
% Declaring setadjoin:(fofType->(fofType->fofType))
% FOF formula (<kernel.Constant object at 0x1aaf8c0>, <kernel.Single object at 0x1beb878>) of role type named omega_type
% Using role type
% Declaring omega:fofType
% FOF formula (<kernel.Constant object at 0x1aaf8c0>, <kernel.Sort object at 0x1ab13f8>) of role type named omegaSAx_type
% Using role type
% Declaring omegaSAx:Prop
% FOF formula (((eq Prop) omegaSAx) (forall (Xx:fofType), (((in Xx) omega)->((in ((setadjoin Xx) Xx)) omega)))) of role definition named omegaSAx
% A new definition: (((eq Prop) omegaSAx) (forall (Xx:fofType), (((in Xx) omega)->((in ((setadjoin Xx) Xx)) omega))))
% Defined: omegaSAx:=(forall (Xx:fofType), (((in Xx) omega)->((in ((setadjoin Xx) Xx)) omega)))
% FOF formula (<kernel.Constant object at 0x1beb878>, <kernel.DependentProduct object at 0x1fab368>) of role type named omegaS_type
% Using role type
% Declaring omegaS:(fofType->fofType)
% FOF formula (((eq (fofType->fofType)) omegaS) (fun (Xx:fofType)=> ((setadjoin Xx) Xx))) of role definition named omegaS
% A new definition: (((eq (fofType->fofType)) omegaS) (fun (Xx:fofType)=> ((setadjoin Xx) Xx)))
% Defined: omegaS:=(fun (Xx:fofType)=> ((setadjoin Xx) Xx))
% FOF formula (omegaSAx->(forall (Xx:fofType), (((in Xx) omega)->((in (omegaS Xx)) omega)))) of role conjecture named omegaSp
% Conjecture to prove = (omegaSAx->(forall (Xx:fofType), (((in Xx) omega)->((in (omegaS Xx)) omega)))):Prop
% We need to prove ['(omegaSAx->(forall (Xx:fofType), (((in Xx) omega)->((in (omegaS Xx)) omega))))']
% Parameter fofType:Type.
% Parameter in:(fofType->(fofType->Prop)).
% Parameter setadjoin:(fofType->(fofType->fofType)).
% Parameter omega:fofType.
% Definition omegaSAx:=(forall (Xx:fofType), (((in Xx) omega)->((in ((setadjoin Xx) Xx)) omega))):Prop.
% Definition omegaS:=(fun (Xx:fofType)=> ((setadjoin Xx) Xx)):(fofType->fofType).
% Trying to prove (omegaSAx->(forall (Xx:fofType), (((in Xx) omega)->((in (omegaS Xx)) omega))))
% Found x:omegaSAx
% Found (fun (x:omegaSAx)=> x) as proof of (forall (Xx:fofType), (((in Xx) omega)->((in (omegaS Xx)) omega)))
% Found (fun (x:omegaSAx)=> x) as proof of (omegaSAx->(forall (Xx:fofType), (((in Xx) omega)->((in (omegaS Xx)) omega))))
% Got proof (fun (x:omegaSAx)=> x)
% Time elapsed = 0.025024s
% 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:omegaSAx)=> x)
% % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% EOF
%------------------------------------------------------------------------------