TSTP Solution File: SEU609^2 by cocATP---0.2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : SEU609^2 : TPTP v6.1.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n183.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 13:32:36 EDT 2014
% Result : Theorem 0.39s
% Output : Proof 0.39s
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----ERROR: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem : SEU609^2 : TPTP v6.1.0. Released v3.7.0.
% % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% % Computer : n183.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 10:53:01 CDT 2014
% % CPUTime : 0.39
% 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 0x1f1b0e0>, <kernel.DependentProduct object at 0x1f1b4d0>) of role type named in_type
% Using role type
% Declaring in:(fofType->(fofType->Prop))
% FOF formula (<kernel.Constant object at 0x2174878>, <kernel.DependentProduct object at 0x1f1b4d0>) of role type named subset_type
% Using role type
% Declaring subset:(fofType->(fofType->Prop))
% FOF formula (<kernel.Constant object at 0x1f1bdd0>, <kernel.Sort object at 0x1c04098>) of role type named subsetI2_type
% Using role type
% Declaring subsetI2:Prop
% FOF formula (((eq Prop) subsetI2) (forall (A:fofType) (B:fofType), ((forall (Xx:fofType), (((in Xx) A)->((in Xx) B)))->((subset A) B)))) of role definition named subsetI2
% A new definition: (((eq Prop) subsetI2) (forall (A:fofType) (B:fofType), ((forall (Xx:fofType), (((in Xx) A)->((in Xx) B)))->((subset A) B))))
% Defined: subsetI2:=(forall (A:fofType) (B:fofType), ((forall (Xx:fofType), (((in Xx) A)->((in Xx) B)))->((subset A) B)))
% FOF formula (<kernel.Constant object at 0x1f1b638>, <kernel.DependentProduct object at 0x1f1bf80>) of role type named setminus_type
% Using role type
% Declaring setminus:(fofType->(fofType->fofType))
% FOF formula (<kernel.Constant object at 0x1f1b680>, <kernel.Sort object at 0x1c04098>) of role type named setminusEL_type
% Using role type
% Declaring setminusEL:Prop
% FOF formula (((eq Prop) setminusEL) (forall (A:fofType) (B:fofType) (Xx:fofType), (((in Xx) ((setminus A) B))->((in Xx) A)))) of role definition named setminusEL
% A new definition: (((eq Prop) setminusEL) (forall (A:fofType) (B:fofType) (Xx:fofType), (((in Xx) ((setminus A) B))->((in Xx) A))))
% Defined: setminusEL:=(forall (A:fofType) (B:fofType) (Xx:fofType), (((in Xx) ((setminus A) B))->((in Xx) A)))
% FOF formula (subsetI2->(setminusEL->(forall (A:fofType) (B:fofType), ((subset ((setminus A) B)) A)))) of role conjecture named setminusLsub
% Conjecture to prove = (subsetI2->(setminusEL->(forall (A:fofType) (B:fofType), ((subset ((setminus A) B)) A)))):Prop
% Parameter fofType_DUMMY:fofType.
% We need to prove ['(subsetI2->(setminusEL->(forall (A:fofType) (B:fofType), ((subset ((setminus A) B)) A))))']
% Parameter fofType:Type.
% Parameter in:(fofType->(fofType->Prop)).
% Parameter subset:(fofType->(fofType->Prop)).
% Definition subsetI2:=(forall (A:fofType) (B:fofType), ((forall (Xx:fofType), (((in Xx) A)->((in Xx) B)))->((subset A) B))):Prop.
% Parameter setminus:(fofType->(fofType->fofType)).
% Definition setminusEL:=(forall (A:fofType) (B:fofType) (Xx:fofType), (((in Xx) ((setminus A) B))->((in Xx) A))):Prop.
% Trying to prove (subsetI2->(setminusEL->(forall (A:fofType) (B:fofType), ((subset ((setminus A) B)) A))))
% Found x000:=(x00 B):(forall (Xx:fofType), (((in Xx) ((setminus A) B))->((in Xx) A)))
% Found (x00 B) as proof of (forall (Xx:fofType), (((in Xx) ((setminus A) B))->((in Xx) A)))
% Found ((x0 A) B) as proof of (forall (Xx:fofType), (((in Xx) ((setminus A) B))->((in Xx) A)))
% Found ((x0 A) B) as proof of (forall (Xx:fofType), (((in Xx) ((setminus A) B))->((in Xx) A)))
% Found (x10 ((x0 A) B)) as proof of ((subset ((setminus A) B)) A)
% Found ((x1 A) ((x0 A) B)) as proof of ((subset ((setminus A) B)) A)
% Found (((x ((setminus A) B)) A) ((x0 A) B)) as proof of ((subset ((setminus A) B)) A)
% Found (fun (B:fofType)=> (((x ((setminus A) B)) A) ((x0 A) B))) as proof of ((subset ((setminus A) B)) A)
% Found (fun (A:fofType) (B:fofType)=> (((x ((setminus A) B)) A) ((x0 A) B))) as proof of (forall (B:fofType), ((subset ((setminus A) B)) A))
% Found (fun (x0:setminusEL) (A:fofType) (B:fofType)=> (((x ((setminus A) B)) A) ((x0 A) B))) as proof of (forall (A:fofType) (B:fofType), ((subset ((setminus A) B)) A))
% Found (fun (x:subsetI2) (x0:setminusEL) (A:fofType) (B:fofType)=> (((x ((setminus A) B)) A) ((x0 A) B))) as proof of (setminusEL->(forall (A:fofType) (B:fofType), ((subset ((setminus A) B)) A)))
% Found (fun (x:subsetI2) (x0:setminusEL) (A:fofType) (B:fofType)=> (((x ((setminus A) B)) A) ((x0 A) B))) as proof of (subsetI2->(setminusEL->(forall (A:fofType) (B:fofType), ((subset ((setminus A) B)) A))))
% Got proof (fun (x:subsetI2) (x0:setminusEL) (A:fofType) (B:fofType)=> (((x ((setminus A) B)) A) ((x0 A) B)))
% Time elapsed = 0.058344s
% node=11 cost=-108.000000 depth=10
% ::::::::::::::::::::::
% % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% (fun (x:subsetI2) (x0:setminusEL) (A:fofType) (B:fofType)=> (((x ((setminus A) B)) A) ((x0 A) B)))
% % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% EOF
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