TSTP Solution File: SEU599^2 by cocATP---0.2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : SEU599^2 : TPTP v6.1.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n113.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 13:32:34 EDT 2014
% Result : Theorem 0.68s
% Output : Proof 0.68s
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----ERROR: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem : SEU599^2 : TPTP v6.1.0. Released v3.7.0.
% % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% % Computer : n113.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 10:51:06 CDT 2014
% % CPUTime : 0.68
% 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 0x2372cb0>, <kernel.DependentProduct object at 0x2372b48>) of role type named in_type
% Using role type
% Declaring in:(fofType->(fofType->Prop))
% FOF formula (<kernel.Constant object at 0x27a3b90>, <kernel.Sort object at 0x22385a8>) of role type named in__Cong_type
% Using role type
% Declaring in__Cong:Prop
% FOF formula (((eq Prop) in__Cong) (forall (A:fofType) (B:fofType), ((((eq fofType) A) B)->(forall (Xx:fofType) (Xy:fofType), ((((eq fofType) Xx) Xy)->((iff ((in Xx) A)) ((in Xy) B))))))) of role definition named in__Cong
% A new definition: (((eq Prop) in__Cong) (forall (A:fofType) (B:fofType), ((((eq fofType) A) B)->(forall (Xx:fofType) (Xy:fofType), ((((eq fofType) Xx) Xy)->((iff ((in Xx) A)) ((in Xy) B)))))))
% Defined: in__Cong:=(forall (A:fofType) (B:fofType), ((((eq fofType) A) B)->(forall (Xx:fofType) (Xy:fofType), ((((eq fofType) Xx) Xy)->((iff ((in Xx) A)) ((in Xy) B))))))
% FOF formula (<kernel.Constant object at 0x2372f80>, <kernel.DependentProduct object at 0x2372440>) of role type named subset_type
% Using role type
% Declaring subset:(fofType->(fofType->Prop))
% FOF formula (<kernel.Constant object at 0x2372c68>, <kernel.Sort object at 0x22385a8>) of role type named subsetI1_type
% Using role type
% Declaring subsetI1:Prop
% FOF formula (((eq Prop) subsetI1) (forall (A:fofType) (B:fofType), ((forall (Xx:fofType), (((in Xx) A)->((in Xx) B)))->((subset A) B)))) of role definition named subsetI1
% A new definition: (((eq Prop) subsetI1) (forall (A:fofType) (B:fofType), ((forall (Xx:fofType), (((in Xx) A)->((in Xx) B)))->((subset A) B))))
% Defined: subsetI1:=(forall (A:fofType) (B:fofType), ((forall (Xx:fofType), (((in Xx) A)->((in Xx) B)))->((subset A) B)))
% FOF formula (<kernel.Constant object at 0x2372b48>, <kernel.DependentProduct object at 0x2372c20>) of role type named binintersect_type
% Using role type
% Declaring binintersect:(fofType->(fofType->fofType))
% FOF formula (<kernel.Constant object at 0x2372f80>, <kernel.Sort object at 0x22385a8>) of role type named binintersectER_type
% Using role type
% Declaring binintersectER:Prop
% FOF formula (((eq Prop) binintersectER) (forall (A:fofType) (B:fofType) (Xx:fofType), (((in Xx) ((binintersect A) B))->((in Xx) B)))) of role definition named binintersectER
% A new definition: (((eq Prop) binintersectER) (forall (A:fofType) (B:fofType) (Xx:fofType), (((in Xx) ((binintersect A) B))->((in Xx) B))))
% Defined: binintersectER:=(forall (A:fofType) (B:fofType) (Xx:fofType), (((in Xx) ((binintersect A) B))->((in Xx) B)))
% FOF formula (in__Cong->(subsetI1->(binintersectER->(forall (A:fofType) (B:fofType), ((((eq fofType) ((binintersect A) B)) A)->((subset A) B)))))) of role conjecture named binintersectSubset1
% Conjecture to prove = (in__Cong->(subsetI1->(binintersectER->(forall (A:fofType) (B:fofType), ((((eq fofType) ((binintersect A) B)) A)->((subset A) B)))))):Prop
% Parameter fofType_DUMMY:fofType.
% We need to prove ['(in__Cong->(subsetI1->(binintersectER->(forall (A:fofType) (B:fofType), ((((eq fofType) ((binintersect A) B)) A)->((subset A) B))))))']
% Parameter fofType:Type.
% Parameter in:(fofType->(fofType->Prop)).
% Definition in__Cong:=(forall (A:fofType) (B:fofType), ((((eq fofType) A) B)->(forall (Xx:fofType) (Xy:fofType), ((((eq fofType) Xx) Xy)->((iff ((in Xx) A)) ((in Xy) B)))))):Prop.
% Parameter subset:(fofType->(fofType->Prop)).
% Definition subsetI1:=(forall (A:fofType) (B:fofType), ((forall (Xx:fofType), (((in Xx) A)->((in Xx) B)))->((subset A) B))):Prop.
% Parameter binintersect:(fofType->(fofType->fofType)).
% Definition binintersectER:=(forall (A:fofType) (B:fofType) (Xx:fofType), (((in Xx) ((binintersect A) B))->((in Xx) B))):Prop.
% Trying to prove (in__Cong->(subsetI1->(binintersectER->(forall (A:fofType) (B:fofType), ((((eq fofType) ((binintersect A) B)) A)->((subset A) B))))))
% Found x100:=(x10 B):(forall (Xx:fofType), (((in Xx) ((binintersect A) B))->((in Xx) B)))
% Found (x10 B) as proof of (forall (Xx:fofType), (((in Xx) ((binintersect A) B))->((in Xx) B)))
% Found ((x1 A) B) as proof of (forall (Xx:fofType), (((in Xx) ((binintersect A) B))->((in Xx) B)))
% Found ((x1 A) B) as proof of (forall (Xx:fofType), (((in Xx) ((binintersect A) B))->((in Xx) B)))
% Found (x000 ((x1 A) B)) as proof of ((subset ((binintersect A) B)) B)
% Found ((x00 B) ((x1 A) B)) as proof of ((subset ((binintersect A) B)) B)
% Found (((x0 ((binintersect A) B)) B) ((x1 A) B)) as proof of ((subset ((binintersect A) B)) B)
% Found (((x0 ((binintersect A) B)) B) ((x1 A) B)) as proof of ((subset ((binintersect A) B)) B)
% Found (x20 (((x0 ((binintersect A) B)) B) ((x1 A) B))) as proof of ((subset A) B)
% Found ((x2 (fun (x4:fofType)=> ((subset x4) B))) (((x0 ((binintersect A) B)) B) ((x1 A) B))) as proof of ((subset A) B)
% Found (fun (x2:(((eq fofType) ((binintersect A) B)) A))=> ((x2 (fun (x4:fofType)=> ((subset x4) B))) (((x0 ((binintersect A) B)) B) ((x1 A) B)))) as proof of ((subset A) B)
% Found (fun (B:fofType) (x2:(((eq fofType) ((binintersect A) B)) A))=> ((x2 (fun (x4:fofType)=> ((subset x4) B))) (((x0 ((binintersect A) B)) B) ((x1 A) B)))) as proof of ((((eq fofType) ((binintersect A) B)) A)->((subset A) B))
% Found (fun (A:fofType) (B:fofType) (x2:(((eq fofType) ((binintersect A) B)) A))=> ((x2 (fun (x4:fofType)=> ((subset x4) B))) (((x0 ((binintersect A) B)) B) ((x1 A) B)))) as proof of (forall (B:fofType), ((((eq fofType) ((binintersect A) B)) A)->((subset A) B)))
% Found (fun (x1:binintersectER) (A:fofType) (B:fofType) (x2:(((eq fofType) ((binintersect A) B)) A))=> ((x2 (fun (x4:fofType)=> ((subset x4) B))) (((x0 ((binintersect A) B)) B) ((x1 A) B)))) as proof of (forall (A:fofType) (B:fofType), ((((eq fofType) ((binintersect A) B)) A)->((subset A) B)))
% Found (fun (x0:subsetI1) (x1:binintersectER) (A:fofType) (B:fofType) (x2:(((eq fofType) ((binintersect A) B)) A))=> ((x2 (fun (x4:fofType)=> ((subset x4) B))) (((x0 ((binintersect A) B)) B) ((x1 A) B)))) as proof of (binintersectER->(forall (A:fofType) (B:fofType), ((((eq fofType) ((binintersect A) B)) A)->((subset A) B))))
% Found (fun (x:in__Cong) (x0:subsetI1) (x1:binintersectER) (A:fofType) (B:fofType) (x2:(((eq fofType) ((binintersect A) B)) A))=> ((x2 (fun (x4:fofType)=> ((subset x4) B))) (((x0 ((binintersect A) B)) B) ((x1 A) B)))) as proof of (subsetI1->(binintersectER->(forall (A:fofType) (B:fofType), ((((eq fofType) ((binintersect A) B)) A)->((subset A) B)))))
% Found (fun (x:in__Cong) (x0:subsetI1) (x1:binintersectER) (A:fofType) (B:fofType) (x2:(((eq fofType) ((binintersect A) B)) A))=> ((x2 (fun (x4:fofType)=> ((subset x4) B))) (((x0 ((binintersect A) B)) B) ((x1 A) B)))) as proof of (in__Cong->(subsetI1->(binintersectER->(forall (A:fofType) (B:fofType), ((((eq fofType) ((binintersect A) B)) A)->((subset A) B))))))
% Got proof (fun (x:in__Cong) (x0:subsetI1) (x1:binintersectER) (A:fofType) (B:fofType) (x2:(((eq fofType) ((binintersect A) B)) A))=> ((x2 (fun (x4:fofType)=> ((subset x4) B))) (((x0 ((binintersect A) B)) B) ((x1 A) B))))
% Time elapsed = 0.349917s
% node=43 cost=-16.000000 depth=15
% ::::::::::::::::::::::
% % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% (fun (x:in__Cong) (x0:subsetI1) (x1:binintersectER) (A:fofType) (B:fofType) (x2:(((eq fofType) ((binintersect A) B)) A))=> ((x2 (fun (x4:fofType)=> ((subset x4) B))) (((x0 ((binintersect A) B)) B) ((x1 A) B))))
% % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% EOF
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