TSTP Solution File: SYO332^5 by cocATP---0.2.0
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% File : cocATP---0.2.0
% Problem : SYO332^5 : TPTP v7.5.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Tue Mar 29 00:51:11 EDT 2022
% Result : Timeout 300.02s 300.69s
% Output : None
% Verified :
% SZS Type : -
% Comments :
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%----No solution output by system
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%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SYO332^5 : TPTP v7.5.0. Released v4.0.0.
% 0.06/0.12 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.32 % Computer : n001.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % RAMPerCPU : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % DateTime : Sat Mar 12 04:41:12 EST 2022
% 0.12/0.32 % CPUTime :
% 0.12/0.33 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.12/0.34 Python 2.7.5
% 0.76/0.96 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/']
% 0.76/0.96 FOF formula (<kernel.Constant object at 0xcf08c0>, <kernel.Type object at 0xcf0878>) of role type named b_type
% 0.76/0.96 Using role type
% 0.76/0.96 Declaring b:Type
% 0.76/0.96 FOF formula (<kernel.Constant object at 0xcf0368>, <kernel.Type object at 0xcf4320>) of role type named a_type
% 0.76/0.96 Using role type
% 0.76/0.96 Declaring a:Type
% 0.76/0.96 FOF formula ((and ((forall (Xs:((b->Prop)->Prop)), ((forall (X:(b->Prop)), ((Xs X)->((ex b) (fun (Xy:b)=> (X Xy)))))->((ex ((b->Prop)->b)) (fun (Xf:((b->Prop)->b))=> (forall (X:(b->Prop)), ((Xs X)->(X (Xf X))))))))->(forall (Xr:(a->(b->Prop))), ((ex (a->b)) (fun (Xg:(a->b))=> (forall (Xx:a), (((ex b) (fun (Xy:b)=> ((Xr Xx) Xy)))->((Xr Xx) (Xg Xx))))))))) ((forall (Xr:((a->Prop)->(a->Prop))), ((ex ((a->Prop)->a)) (fun (Xg:((a->Prop)->a))=> (forall (Xx:(a->Prop)), (((ex a) (fun (Xy:a)=> ((Xr Xx) Xy)))->((Xr Xx) (Xg Xx)))))))->(forall (Xs:((a->Prop)->Prop)), ((forall (X:(a->Prop)), ((Xs X)->((ex a) (fun (Xt:a)=> (X Xt)))))->((ex ((a->Prop)->a)) (fun (Xf:((a->Prop)->a))=> (forall (X:(a->Prop)), ((Xs X)->(X (Xf X)))))))))) of role conjecture named cTHM561
% 0.76/0.96 Conjecture to prove = ((and ((forall (Xs:((b->Prop)->Prop)), ((forall (X:(b->Prop)), ((Xs X)->((ex b) (fun (Xy:b)=> (X Xy)))))->((ex ((b->Prop)->b)) (fun (Xf:((b->Prop)->b))=> (forall (X:(b->Prop)), ((Xs X)->(X (Xf X))))))))->(forall (Xr:(a->(b->Prop))), ((ex (a->b)) (fun (Xg:(a->b))=> (forall (Xx:a), (((ex b) (fun (Xy:b)=> ((Xr Xx) Xy)))->((Xr Xx) (Xg Xx))))))))) ((forall (Xr:((a->Prop)->(a->Prop))), ((ex ((a->Prop)->a)) (fun (Xg:((a->Prop)->a))=> (forall (Xx:(a->Prop)), (((ex a) (fun (Xy:a)=> ((Xr Xx) Xy)))->((Xr Xx) (Xg Xx)))))))->(forall (Xs:((a->Prop)->Prop)), ((forall (X:(a->Prop)), ((Xs X)->((ex a) (fun (Xt:a)=> (X Xt)))))->((ex ((a->Prop)->a)) (fun (Xf:((a->Prop)->a))=> (forall (X:(a->Prop)), ((Xs X)->(X (Xf X)))))))))):Prop
% 0.76/0.96 Parameter b_DUMMY:b.
% 0.76/0.96 Parameter a_DUMMY:a.
% 0.76/0.96 We need to prove ['((and ((forall (Xs:((b->Prop)->Prop)), ((forall (X:(b->Prop)), ((Xs X)->((ex b) (fun (Xy:b)=> (X Xy)))))->((ex ((b->Prop)->b)) (fun (Xf:((b->Prop)->b))=> (forall (X:(b->Prop)), ((Xs X)->(X (Xf X))))))))->(forall (Xr:(a->(b->Prop))), ((ex (a->b)) (fun (Xg:(a->b))=> (forall (Xx:a), (((ex b) (fun (Xy:b)=> ((Xr Xx) Xy)))->((Xr Xx) (Xg Xx))))))))) ((forall (Xr:((a->Prop)->(a->Prop))), ((ex ((a->Prop)->a)) (fun (Xg:((a->Prop)->a))=> (forall (Xx:(a->Prop)), (((ex a) (fun (Xy:a)=> ((Xr Xx) Xy)))->((Xr Xx) (Xg Xx)))))))->(forall (Xs:((a->Prop)->Prop)), ((forall (X:(a->Prop)), ((Xs X)->((ex a) (fun (Xt:a)=> (X Xt)))))->((ex ((a->Prop)->a)) (fun (Xf:((a->Prop)->a))=> (forall (X:(a->Prop)), ((Xs X)->(X (Xf X))))))))))']
% 0.76/0.96 Parameter b:Type.
% 0.76/0.96 Parameter a:Type.
% 0.76/0.96 Trying to prove ((and ((forall (Xs:((b->Prop)->Prop)), ((forall (X:(b->Prop)), ((Xs X)->((ex b) (fun (Xy:b)=> (X Xy)))))->((ex ((b->Prop)->b)) (fun (Xf:((b->Prop)->b))=> (forall (X:(b->Prop)), ((Xs X)->(X (Xf X))))))))->(forall (Xr:(a->(b->Prop))), ((ex (a->b)) (fun (Xg:(a->b))=> (forall (Xx:a), (((ex b) (fun (Xy:b)=> ((Xr Xx) Xy)))->((Xr Xx) (Xg Xx))))))))) ((forall (Xr:((a->Prop)->(a->Prop))), ((ex ((a->Prop)->a)) (fun (Xg:((a->Prop)->a))=> (forall (Xx:(a->Prop)), (((ex a) (fun (Xy:a)=> ((Xr Xx) Xy)))->((Xr Xx) (Xg Xx)))))))->(forall (Xs:((a->Prop)->Prop)), ((forall (X:(a->Prop)), ((Xs X)->((ex a) (fun (Xt:a)=> (X Xt)))))->((ex ((a->Prop)->a)) (fun (Xf:((a->Prop)->a))=> (forall (X:(a->Prop)), ((Xs X)->(X (Xf X))))))))))
% 0.76/0.96 Found b_DUMMY:b
% 0.76/0.96 Found b_DUMMY as proof of b
% 0.76/0.96 Found (classical_choice000 b_DUMMY) as proof of ((ex (a->b)) (fun (Xg:(a->b))=> (forall (Xx:a), (((ex b) (fun (Xy:b)=> ((Xr Xx) Xy)))->((Xr Xx) (Xg Xx))))))
% 0.76/0.96 Found ((classical_choice00 Xr) b_DUMMY) as proof of ((ex (a->b)) (fun (Xg:(a->b))=> (forall (Xx:a), (((ex b) (fun (Xy:b)=> ((Xr Xx) Xy)))->((Xr Xx) (Xg Xx))))))
% 0.76/0.96 Found (((classical_choice0 b) Xr) b_DUMMY) as proof of ((ex (a->b)) (fun (Xg:(a->b))=> (forall (Xx:a), (((ex b) (fun (Xy:b)=> ((Xr Xx) Xy)))->((Xr Xx) (Xg Xx))))))
% 0.76/0.96 Found ((((classical_choice a) b) Xr) b_DUMMY) as proof of ((ex (a->b)) (fun (Xg:(a->b))=> (forall (Xx
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