TSTP Solution File: SEU654^2 by cocATP---0.2.0
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%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : SEU654^2 : TPTP v6.1.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n186.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 13:32:43 EDT 2014
% Result : Theorem 0.43s
% Output : Proof 0.43s
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----ERROR: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem : SEU654^2 : TPTP v6.1.0. Released v3.7.0.
% % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% % Computer : n186.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 11:03:31 CDT 2014
% % CPUTime : 0.43
% 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 0x1071950>, <kernel.Constant object at 0x1071128>) of role type named emptyset_type
% Using role type
% Declaring emptyset:fofType
% FOF formula (<kernel.Constant object at 0xe8fe60>, <kernel.DependentProduct object at 0x1072ab8>) of role type named setadjoin_type
% Using role type
% Declaring setadjoin:(fofType->(fofType->fofType))
% FOF formula (<kernel.Constant object at 0x1071950>, <kernel.DependentProduct object at 0x1072ab8>) of role type named kpair_type
% Using role type
% Declaring kpair:(fofType->(fofType->fofType))
% FOF formula (((eq (fofType->(fofType->fofType))) kpair) (fun (Xx:fofType) (Xy:fofType)=> ((setadjoin ((setadjoin Xx) emptyset)) ((setadjoin ((setadjoin Xx) ((setadjoin Xy) emptyset))) emptyset)))) of role definition named kpair
% A new definition: (((eq (fofType->(fofType->fofType))) kpair) (fun (Xx:fofType) (Xy:fofType)=> ((setadjoin ((setadjoin Xx) emptyset)) ((setadjoin ((setadjoin Xx) ((setadjoin Xy) emptyset))) emptyset))))
% Defined: kpair:=(fun (Xx:fofType) (Xy:fofType)=> ((setadjoin ((setadjoin Xx) emptyset)) ((setadjoin ((setadjoin Xx) ((setadjoin Xy) emptyset))) emptyset)))
% FOF formula (<kernel.Constant object at 0x1071950>, <kernel.Sort object at 0xd55518>) of role type named setukpairinjR2_type
% Using role type
% Declaring setukpairinjR2:Prop
% FOF formula (((eq Prop) setukpairinjR2) (forall (Xx:fofType) (Xy:fofType) (Xz:fofType) (Xu:fofType), ((((eq fofType) ((setadjoin ((setadjoin Xx) emptyset)) ((setadjoin ((setadjoin Xx) ((setadjoin Xy) emptyset))) emptyset))) ((setadjoin ((setadjoin Xz) emptyset)) ((setadjoin ((setadjoin Xz) ((setadjoin Xu) emptyset))) emptyset)))->(((eq fofType) Xy) Xu)))) of role definition named setukpairinjR2
% A new definition: (((eq Prop) setukpairinjR2) (forall (Xx:fofType) (Xy:fofType) (Xz:fofType) (Xu:fofType), ((((eq fofType) ((setadjoin ((setadjoin Xx) emptyset)) ((setadjoin ((setadjoin Xx) ((setadjoin Xy) emptyset))) emptyset))) ((setadjoin ((setadjoin Xz) emptyset)) ((setadjoin ((setadjoin Xz) ((setadjoin Xu) emptyset))) emptyset)))->(((eq fofType) Xy) Xu))))
% Defined: setukpairinjR2:=(forall (Xx:fofType) (Xy:fofType) (Xz:fofType) (Xu:fofType), ((((eq fofType) ((setadjoin ((setadjoin Xx) emptyset)) ((setadjoin ((setadjoin Xx) ((setadjoin Xy) emptyset))) emptyset))) ((setadjoin ((setadjoin Xz) emptyset)) ((setadjoin ((setadjoin Xz) ((setadjoin Xu) emptyset))) emptyset)))->(((eq fofType) Xy) Xu)))
% FOF formula (setukpairinjR2->(forall (Xx:fofType) (Xy:fofType) (Xz:fofType) (Xu:fofType), ((((eq fofType) ((kpair Xx) Xy)) ((kpair Xz) Xu))->(((eq fofType) Xy) Xu)))) of role conjecture named setukpairinjR
% Conjecture to prove = (setukpairinjR2->(forall (Xx:fofType) (Xy:fofType) (Xz:fofType) (Xu:fofType), ((((eq fofType) ((kpair Xx) Xy)) ((kpair Xz) Xu))->(((eq fofType) Xy) Xu)))):Prop
% We need to prove ['(setukpairinjR2->(forall (Xx:fofType) (Xy:fofType) (Xz:fofType) (Xu:fofType), ((((eq fofType) ((kpair Xx) Xy)) ((kpair Xz) Xu))->(((eq fofType) Xy) Xu))))']
% Parameter fofType:Type.
% Parameter emptyset:fofType.
% Parameter setadjoin:(fofType->(fofType->fofType)).
% Definition kpair:=(fun (Xx:fofType) (Xy:fofType)=> ((setadjoin ((setadjoin Xx) emptyset)) ((setadjoin ((setadjoin Xx) ((setadjoin Xy) emptyset))) emptyset))):(fofType->(fofType->fofType)).
% Definition setukpairinjR2:=(forall (Xx:fofType) (Xy:fofType) (Xz:fofType) (Xu:fofType), ((((eq fofType) ((setadjoin ((setadjoin Xx) emptyset)) ((setadjoin ((setadjoin Xx) ((setadjoin Xy) emptyset))) emptyset))) ((setadjoin ((setadjoin Xz) emptyset)) ((setadjoin ((setadjoin Xz) ((setadjoin Xu) emptyset))) emptyset)))->(((eq fofType) Xy) Xu))):Prop.
% Trying to prove (setukpairinjR2->(forall (Xx:fofType) (Xy:fofType) (Xz:fofType) (Xu:fofType), ((((eq fofType) ((kpair Xx) Xy)) ((kpair Xz) Xu))->(((eq fofType) Xy) Xu))))
% Found x:setukpairinjR2
% Found (fun (x:setukpairinjR2)=> x) as proof of (forall (Xx:fofType) (Xy:fofType) (Xz:fofType) (Xu:fofType), ((((eq fofType) ((kpair Xx) Xy)) ((kpair Xz) Xu))->(((eq fofType) Xy) Xu)))
% Found (fun (x:setukpairinjR2)=> x) as proof of (setukpairinjR2->(forall (Xx:fofType) (Xy:fofType) (Xz:fofType) (Xu:fofType), ((((eq fofType) ((kpair Xx) Xy)) ((kpair Xz) Xu))->(((eq fofType) Xy) Xu))))
% Got proof (fun (x:setukpairinjR2)=> x)
% Time elapsed = 0.099176s
% 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:setukpairinjR2)=> x)
% % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% EOF
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