TSTP Solution File: SEU663^2 by cocATP---0.2.0
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%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : SEU663^2 : TPTP v6.1.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n106.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 13:32:45 EDT 2014
% Result : Theorem 0.58s
% Output : Proof 0.58s
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----ERROR: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem : SEU663^2 : TPTP v6.1.0. Released v3.7.0.
% % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% % Computer : n106.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 11:05:26 CDT 2014
% % CPUTime : 0.58
% 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 0x18f3bd8>, <kernel.DependentProduct object at 0x18f3368>) of role type named in_type
% Using role type
% Declaring in:(fofType->(fofType->Prop))
% FOF formula (<kernel.Constant object at 0x1d2def0>, <kernel.DependentProduct object at 0x18f3368>) of role type named kpair_type
% Using role type
% Declaring kpair:(fofType->(fofType->fofType))
% FOF formula (<kernel.Constant object at 0x18f3680>, <kernel.DependentProduct object at 0x18f37e8>) of role type named ksnd_type
% Using role type
% Declaring ksnd:(fofType->fofType)
% FOF formula (<kernel.Constant object at 0x18f3440>, <kernel.Sort object at 0x17bb518>) of role type named ksndpairEq_type
% Using role type
% Declaring ksndpairEq:Prop
% FOF formula (((eq Prop) ksndpairEq) (forall (Xx:fofType) (Xy:fofType), (((eq fofType) (ksnd ((kpair Xx) Xy))) Xy))) of role definition named ksndpairEq
% A new definition: (((eq Prop) ksndpairEq) (forall (Xx:fofType) (Xy:fofType), (((eq fofType) (ksnd ((kpair Xx) Xy))) Xy)))
% Defined: ksndpairEq:=(forall (Xx:fofType) (Xy:fofType), (((eq fofType) (ksnd ((kpair Xx) Xy))) Xy))
% FOF formula (<kernel.Constant object at 0x18f3a70>, <kernel.Sort object at 0x17bb518>) of role type named cartprodmempaircEq_type
% Using role type
% Declaring cartprodmempaircEq:Prop
% FOF formula (((eq Prop) cartprodmempaircEq) (forall (A:fofType) (B:fofType) (Xx:fofType), (((in Xx) A)->(forall (Xy:fofType), (((in Xy) B)->(((eq fofType) ((kpair Xx) Xy)) ((kpair Xx) Xy))))))) of role definition named cartprodmempaircEq
% A new definition: (((eq Prop) cartprodmempaircEq) (forall (A:fofType) (B:fofType) (Xx:fofType), (((in Xx) A)->(forall (Xy:fofType), (((in Xy) B)->(((eq fofType) ((kpair Xx) Xy)) ((kpair Xx) Xy)))))))
% Defined: cartprodmempaircEq:=(forall (A:fofType) (B:fofType) (Xx:fofType), (((in Xx) A)->(forall (Xy:fofType), (((in Xy) B)->(((eq fofType) ((kpair Xx) Xy)) ((kpair Xx) Xy))))))
% FOF formula (ksndpairEq->(cartprodmempaircEq->(forall (A:fofType) (B:fofType) (Xx:fofType), (((in Xx) A)->(forall (Xy:fofType), (((in Xy) B)->(((eq fofType) (ksnd ((kpair Xx) Xy))) Xy))))))) of role conjecture named cartprodsndpairEq
% Conjecture to prove = (ksndpairEq->(cartprodmempaircEq->(forall (A:fofType) (B:fofType) (Xx:fofType), (((in Xx) A)->(forall (Xy:fofType), (((in Xy) B)->(((eq fofType) (ksnd ((kpair Xx) Xy))) Xy))))))):Prop
% Parameter fofType_DUMMY:fofType.
% We need to prove ['(ksndpairEq->(cartprodmempaircEq->(forall (A:fofType) (B:fofType) (Xx:fofType), (((in Xx) A)->(forall (Xy:fofType), (((in Xy) B)->(((eq fofType) (ksnd ((kpair Xx) Xy))) Xy)))))))']
% Parameter fofType:Type.
% Parameter in:(fofType->(fofType->Prop)).
% Parameter kpair:(fofType->(fofType->fofType)).
% Parameter ksnd:(fofType->fofType).
% Definition ksndpairEq:=(forall (Xx:fofType) (Xy:fofType), (((eq fofType) (ksnd ((kpair Xx) Xy))) Xy)):Prop.
% Definition cartprodmempaircEq:=(forall (A:fofType) (B:fofType) (Xx:fofType), (((in Xx) A)->(forall (Xy:fofType), (((in Xy) B)->(((eq fofType) ((kpair Xx) Xy)) ((kpair Xx) Xy)))))):Prop.
% Trying to prove (ksndpairEq->(cartprodmempaircEq->(forall (A:fofType) (B:fofType) (Xx:fofType), (((in Xx) A)->(forall (Xy:fofType), (((in Xy) B)->(((eq fofType) (ksnd ((kpair Xx) Xy))) Xy)))))))
% Found x30:=(x3 Xy):(((eq fofType) (ksnd ((kpair Xx) Xy))) Xy)
% Found (x3 Xy) as proof of (((eq fofType) (ksnd ((kpair Xx) Xy))) Xy)
% Found ((x Xx) Xy) as proof of (((eq fofType) (ksnd ((kpair Xx) Xy))) Xy)
% Found (fun (x2:((in Xy) B))=> ((x Xx) Xy)) as proof of (((eq fofType) (ksnd ((kpair Xx) Xy))) Xy)
% Found (fun (Xy:fofType) (x2:((in Xy) B))=> ((x Xx) Xy)) as proof of (((in Xy) B)->(((eq fofType) (ksnd ((kpair Xx) Xy))) Xy))
% Found (fun (x1:((in Xx) A)) (Xy:fofType) (x2:((in Xy) B))=> ((x Xx) Xy)) as proof of (forall (Xy:fofType), (((in Xy) B)->(((eq fofType) (ksnd ((kpair Xx) Xy))) Xy)))
% Found (fun (Xx:fofType) (x1:((in Xx) A)) (Xy:fofType) (x2:((in Xy) B))=> ((x Xx) Xy)) as proof of (((in Xx) A)->(forall (Xy:fofType), (((in Xy) B)->(((eq fofType) (ksnd ((kpair Xx) Xy))) Xy))))
% Found (fun (B:fofType) (Xx:fofType) (x1:((in Xx) A)) (Xy:fofType) (x2:((in Xy) B))=> ((x Xx) Xy)) as proof of (forall (Xx:fofType), (((in Xx) A)->(forall (Xy:fofType), (((in Xy) B)->(((eq fofType) (ksnd ((kpair Xx) Xy))) Xy)))))
% Found (fun (A:fofType) (B:fofType) (Xx:fofType) (x1:((in Xx) A)) (Xy:fofType) (x2:((in Xy) B))=> ((x Xx) Xy)) as proof of (forall (B:fofType) (Xx:fofType), (((in Xx) A)->(forall (Xy:fofType), (((in Xy) B)->(((eq fofType) (ksnd ((kpair Xx) Xy))) Xy)))))
% Found (fun (x0:cartprodmempaircEq) (A:fofType) (B:fofType) (Xx:fofType) (x1:((in Xx) A)) (Xy:fofType) (x2:((in Xy) B))=> ((x Xx) Xy)) as proof of (forall (A:fofType) (B:fofType) (Xx:fofType), (((in Xx) A)->(forall (Xy:fofType), (((in Xy) B)->(((eq fofType) (ksnd ((kpair Xx) Xy))) Xy)))))
% Found (fun (x:ksndpairEq) (x0:cartprodmempaircEq) (A:fofType) (B:fofType) (Xx:fofType) (x1:((in Xx) A)) (Xy:fofType) (x2:((in Xy) B))=> ((x Xx) Xy)) as proof of (cartprodmempaircEq->(forall (A:fofType) (B:fofType) (Xx:fofType), (((in Xx) A)->(forall (Xy:fofType), (((in Xy) B)->(((eq fofType) (ksnd ((kpair Xx) Xy))) Xy))))))
% Found (fun (x:ksndpairEq) (x0:cartprodmempaircEq) (A:fofType) (B:fofType) (Xx:fofType) (x1:((in Xx) A)) (Xy:fofType) (x2:((in Xy) B))=> ((x Xx) Xy)) as proof of (ksndpairEq->(cartprodmempaircEq->(forall (A:fofType) (B:fofType) (Xx:fofType), (((in Xx) A)->(forall (Xy:fofType), (((in Xy) B)->(((eq fofType) (ksnd ((kpair Xx) Xy))) Xy)))))))
% Got proof (fun (x:ksndpairEq) (x0:cartprodmempaircEq) (A:fofType) (B:fofType) (Xx:fofType) (x1:((in Xx) A)) (Xy:fofType) (x2:((in Xy) B))=> ((x Xx) Xy))
% Time elapsed = 0.257631s
% node=16 cost=-129.000000 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:ksndpairEq) (x0:cartprodmempaircEq) (A:fofType) (B:fofType) (Xx:fofType) (x1:((in Xx) A)) (Xy:fofType) (x2:((in Xy) B))=> ((x Xx) Xy))
% % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% EOF
%------------------------------------------------------------------------------