TSTP Solution File: SYO399^1 by cocATP---0.2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : SYO399^1 : TPTP v7.5.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n031.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 00:51:20 EDT 2022
% Result : Timeout 294.01s 294.47s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.22 % Problem : SYO399^1 : TPTP v7.5.0. Released v4.0.0.
% 0.04/0.23 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.44 % Computer : n031.cluster.edu
% 0.12/0.44 % Model : x86_64 x86_64
% 0.12/0.44 % CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.44 % RAMPerCPU : 8042.1875MB
% 0.12/0.44 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.44 % CPULimit : 300
% 0.12/0.44 % DateTime : Sat Mar 12 14:19:14 EST 2022
% 0.12/0.44 % CPUTime :
% 0.12/0.45 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.12/0.45 Python 2.7.5
% 0.37/0.72 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/']
% 0.37/0.72 Failed to open /home/cristobal/cocATP/CASC/TPTP/Axioms/LCL013^0.ax, trying next directory
% 0.37/0.72 FOF formula (<kernel.Constant object at 0x2b64bd280cf8>, <kernel.Type object at 0x2b64bd280a70>) of role type named mu_type
% 0.37/0.72 Using role type
% 0.37/0.72 Declaring mu:Type
% 0.37/0.72 FOF formula (<kernel.Constant object at 0x2b64bd280cb0>, <kernel.DependentProduct object at 0x2b64bd280cf8>) of role type named meq_ind_type
% 0.37/0.72 Using role type
% 0.37/0.72 Declaring meq_ind:(mu->(mu->(fofType->Prop)))
% 0.37/0.72 FOF formula (((eq (mu->(mu->(fofType->Prop)))) meq_ind) (fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y))) of role definition named meq_ind
% 0.37/0.72 A new definition: (((eq (mu->(mu->(fofType->Prop)))) meq_ind) (fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y)))
% 0.37/0.72 Defined: meq_ind:=(fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y))
% 0.37/0.72 FOF formula (<kernel.Constant object at 0x2b64bd280cf8>, <kernel.DependentProduct object at 0x2b64bd280b00>) of role type named meq_prop_type
% 0.37/0.72 Using role type
% 0.37/0.72 Declaring meq_prop:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.37/0.72 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) meq_prop) (fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (W:fofType)=> (((eq Prop) (X W)) (Y W)))) of role definition named meq_prop
% 0.37/0.72 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) meq_prop) (fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (W:fofType)=> (((eq Prop) (X W)) (Y W))))
% 0.37/0.72 Defined: meq_prop:=(fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (W:fofType)=> (((eq Prop) (X W)) (Y W)))
% 0.37/0.72 FOF formula (<kernel.Constant object at 0x2b64bd280b90>, <kernel.DependentProduct object at 0x2b64bd280cb0>) of role type named mnot_type
% 0.37/0.72 Using role type
% 0.37/0.72 Declaring mnot:((fofType->Prop)->(fofType->Prop))
% 0.37/0.72 FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) mnot) (fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False))) of role definition named mnot
% 0.37/0.72 A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) mnot) (fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False)))
% 0.37/0.72 Defined: mnot:=(fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False))
% 0.37/0.72 FOF formula (<kernel.Constant object at 0x2b64bd280cb0>, <kernel.DependentProduct object at 0x2b64bd280488>) of role type named mor_type
% 0.37/0.72 Using role type
% 0.37/0.72 Declaring mor:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.37/0.72 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mor) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or (Phi W)) (Psi W)))) of role definition named mor
% 0.37/0.72 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mor) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or (Phi W)) (Psi W))))
% 0.37/0.72 Defined: mor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or (Phi W)) (Psi W)))
% 0.37/0.72 FOF formula (<kernel.Constant object at 0x2b64bd280488>, <kernel.DependentProduct object at 0x2b64bd2805f0>) of role type named mand_type
% 0.37/0.72 Using role type
% 0.37/0.72 Declaring mand:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.37/0.72 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mand) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi))))) of role definition named mand
% 0.37/0.72 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mand) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi)))))
% 0.37/0.72 Defined: mand:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi))))
% 0.37/0.72 FOF formula (<kernel.Constant object at 0x2b64bd2805f0>, <kernel.DependentProduct object at 0x2b64bd280518>) of role type named mimplies_type
% 0.37/0.72 Using role type
% 0.37/0.72 Declaring mimplies:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.37/0.72 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplies) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi))) of role definition named mimplies
% 0.37/0.72 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplies) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi)))
% 0.46/0.73 Defined: mimplies:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi))
% 0.46/0.73 FOF formula (<kernel.Constant object at 0x2b64bd280518>, <kernel.DependentProduct object at 0x2b64bd280830>) of role type named mimplied_type
% 0.46/0.73 Using role type
% 0.46/0.73 Declaring mimplied:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.46/0.73 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplied) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi))) of role definition named mimplied
% 0.46/0.73 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplied) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi)))
% 0.46/0.73 Defined: mimplied:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi))
% 0.46/0.73 FOF formula (<kernel.Constant object at 0x2b64bd280830>, <kernel.DependentProduct object at 0x2b64bd280cb0>) of role type named mequiv_type
% 0.46/0.73 Using role type
% 0.46/0.73 Declaring mequiv:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.46/0.73 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mequiv) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mand ((mimplies Phi) Psi)) ((mimplies Psi) Phi)))) of role definition named mequiv
% 0.46/0.73 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mequiv) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mand ((mimplies Phi) Psi)) ((mimplies Psi) Phi))))
% 0.46/0.73 Defined: mequiv:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mand ((mimplies Phi) Psi)) ((mimplies Psi) Phi)))
% 0.46/0.73 FOF formula (<kernel.Constant object at 0x2b64bd280cb0>, <kernel.DependentProduct object at 0x2b64bd280488>) of role type named mxor_type
% 0.46/0.73 Using role type
% 0.46/0.73 Declaring mxor:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.46/0.73 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mxor) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi)))) of role definition named mxor
% 0.46/0.73 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mxor) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi))))
% 0.46/0.73 Defined: mxor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi)))
% 0.46/0.73 FOF formula (<kernel.Constant object at 0x2b64bd280cf8>, <kernel.DependentProduct object at 0x2b64bd280830>) of role type named mforall_ind_type
% 0.46/0.73 Using role type
% 0.46/0.73 Declaring mforall_ind:((mu->(fofType->Prop))->(fofType->Prop))
% 0.46/0.73 FOF formula (((eq ((mu->(fofType->Prop))->(fofType->Prop))) mforall_ind) (fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), ((Phi X) W)))) of role definition named mforall_ind
% 0.46/0.73 A new definition: (((eq ((mu->(fofType->Prop))->(fofType->Prop))) mforall_ind) (fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), ((Phi X) W))))
% 0.46/0.73 Defined: mforall_ind:=(fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), ((Phi X) W)))
% 0.46/0.73 FOF formula (<kernel.Constant object at 0x2b64bd280830>, <kernel.DependentProduct object at 0x2b64bd280a70>) of role type named mforall_prop_type
% 0.46/0.73 Using role type
% 0.46/0.73 Declaring mforall_prop:(((fofType->Prop)->(fofType->Prop))->(fofType->Prop))
% 0.46/0.73 FOF formula (((eq (((fofType->Prop)->(fofType->Prop))->(fofType->Prop))) mforall_prop) (fun (Phi:((fofType->Prop)->(fofType->Prop))) (W:fofType)=> (forall (P:(fofType->Prop)), ((Phi P) W)))) of role definition named mforall_prop
% 0.46/0.73 A new definition: (((eq (((fofType->Prop)->(fofType->Prop))->(fofType->Prop))) mforall_prop) (fun (Phi:((fofType->Prop)->(fofType->Prop))) (W:fofType)=> (forall (P:(fofType->Prop)), ((Phi P) W))))
% 0.46/0.73 Defined: mforall_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop))) (W:fofType)=> (forall (P:(fofType->Prop)), ((Phi P) W)))
% 0.46/0.73 FOF formula (<kernel.Constant object at 0x2b64bd2583f8>, <kernel.DependentProduct object at 0x2b64bd280950>) of role type named mexists_ind_type
% 0.46/0.73 Using role type
% 0.46/0.73 Declaring mexists_ind:((mu->(fofType->Prop))->(fofType->Prop))
% 0.46/0.73 FOF formula (((eq ((mu->(fofType->Prop))->(fofType->Prop))) mexists_ind) (fun (Phi:(mu->(fofType->Prop)))=> (mnot (mforall_ind (fun (X:mu)=> (mnot (Phi X))))))) of role definition named mexists_ind
% 0.46/0.74 A new definition: (((eq ((mu->(fofType->Prop))->(fofType->Prop))) mexists_ind) (fun (Phi:(mu->(fofType->Prop)))=> (mnot (mforall_ind (fun (X:mu)=> (mnot (Phi X)))))))
% 0.46/0.74 Defined: mexists_ind:=(fun (Phi:(mu->(fofType->Prop)))=> (mnot (mforall_ind (fun (X:mu)=> (mnot (Phi X))))))
% 0.46/0.74 FOF formula (<kernel.Constant object at 0x2b64bd258320>, <kernel.DependentProduct object at 0x2b64bd280a70>) of role type named mexists_prop_type
% 0.46/0.74 Using role type
% 0.46/0.74 Declaring mexists_prop:(((fofType->Prop)->(fofType->Prop))->(fofType->Prop))
% 0.46/0.74 FOF formula (((eq (((fofType->Prop)->(fofType->Prop))->(fofType->Prop))) mexists_prop) (fun (Phi:((fofType->Prop)->(fofType->Prop)))=> (mnot (mforall_prop (fun (P:(fofType->Prop))=> (mnot (Phi P))))))) of role definition named mexists_prop
% 0.46/0.74 A new definition: (((eq (((fofType->Prop)->(fofType->Prop))->(fofType->Prop))) mexists_prop) (fun (Phi:((fofType->Prop)->(fofType->Prop)))=> (mnot (mforall_prop (fun (P:(fofType->Prop))=> (mnot (Phi P)))))))
% 0.46/0.74 Defined: mexists_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop)))=> (mnot (mforall_prop (fun (P:(fofType->Prop))=> (mnot (Phi P))))))
% 0.46/0.74 FOF formula (<kernel.Constant object at 0xb86c68>, <kernel.DependentProduct object at 0x2b64bd280908>) of role type named mtrue_type
% 0.46/0.74 Using role type
% 0.46/0.74 Declaring mtrue:(fofType->Prop)
% 0.46/0.74 FOF formula (((eq (fofType->Prop)) mtrue) (fun (W:fofType)=> True)) of role definition named mtrue
% 0.46/0.74 A new definition: (((eq (fofType->Prop)) mtrue) (fun (W:fofType)=> True))
% 0.46/0.74 Defined: mtrue:=(fun (W:fofType)=> True)
% 0.46/0.74 FOF formula (<kernel.Constant object at 0x2b64bd280908>, <kernel.DependentProduct object at 0x2b64bd280518>) of role type named mfalse_type
% 0.46/0.74 Using role type
% 0.46/0.74 Declaring mfalse:(fofType->Prop)
% 0.46/0.74 FOF formula (((eq (fofType->Prop)) mfalse) (mnot mtrue)) of role definition named mfalse
% 0.46/0.74 A new definition: (((eq (fofType->Prop)) mfalse) (mnot mtrue))
% 0.46/0.74 Defined: mfalse:=(mnot mtrue)
% 0.46/0.74 FOF formula (<kernel.Constant object at 0x2b64bd2803b0>, <kernel.DependentProduct object at 0x2b64bd280290>) of role type named mbox_type
% 0.46/0.74 Using role type
% 0.46/0.74 Declaring mbox:((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))
% 0.46/0.74 FOF formula (((eq ((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))) mbox) (fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((R W) V)->False)) (Phi V))))) of role definition named mbox
% 0.46/0.74 A new definition: (((eq ((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))) mbox) (fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((R W) V)->False)) (Phi V)))))
% 0.46/0.74 Defined: mbox:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((R W) V)->False)) (Phi V))))
% 0.46/0.74 FOF formula (<kernel.Constant object at 0x2b64c4d55098>, <kernel.DependentProduct object at 0x2b64bd280050>) of role type named mdia_type
% 0.46/0.74 Using role type
% 0.46/0.74 Declaring mdia:((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))
% 0.46/0.74 FOF formula (((eq ((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))) mdia) (fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop))=> (mnot ((mbox R) (mnot Phi))))) of role definition named mdia
% 0.46/0.74 A new definition: (((eq ((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))) mdia) (fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop))=> (mnot ((mbox R) (mnot Phi)))))
% 0.46/0.74 Defined: mdia:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop))=> (mnot ((mbox R) (mnot Phi))))
% 0.46/0.74 FOF formula (<kernel.Constant object at 0x2b64bd280cf8>, <kernel.DependentProduct object at 0x2b64bd280cb0>) of role type named mreflexive_type
% 0.46/0.74 Using role type
% 0.46/0.74 Declaring mreflexive:((fofType->(fofType->Prop))->Prop)
% 0.46/0.74 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mreflexive) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S)))) of role definition named mreflexive
% 0.46/0.74 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mreflexive) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S))))
% 0.46/0.74 Defined: mreflexive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S)))
% 0.46/0.75 FOF formula (<kernel.Constant object at 0x2b64bd280cb0>, <kernel.DependentProduct object at 0x2b64bd2803b0>) of role type named msymmetric_type
% 0.46/0.75 Using role type
% 0.46/0.75 Declaring msymmetric:((fofType->(fofType->Prop))->Prop)
% 0.46/0.75 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) msymmetric) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (((R S) T)->((R T) S))))) of role definition named msymmetric
% 0.46/0.75 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) msymmetric) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (((R S) T)->((R T) S)))))
% 0.46/0.75 Defined: msymmetric:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (((R S) T)->((R T) S))))
% 0.46/0.75 FOF formula (<kernel.Constant object at 0x2b64bd280098>, <kernel.DependentProduct object at 0x2b64bd2803b0>) of role type named mserial_type
% 0.46/0.75 Using role type
% 0.46/0.75 Declaring mserial:((fofType->(fofType->Prop))->Prop)
% 0.46/0.75 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mserial) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((R S) T)))))) of role definition named mserial
% 0.46/0.75 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mserial) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((R S) T))))))
% 0.46/0.75 Defined: mserial:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((R S) T)))))
% 0.46/0.75 FOF formula (<kernel.Constant object at 0x2b64bd280cf8>, <kernel.DependentProduct object at 0x8c2998>) of role type named mtransitive_type
% 0.46/0.75 Using role type
% 0.46/0.75 Declaring mtransitive:((fofType->(fofType->Prop))->Prop)
% 0.46/0.75 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mtransitive) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R T) U))->((R S) U))))) of role definition named mtransitive
% 0.46/0.75 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mtransitive) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R T) U))->((R S) U)))))
% 0.46/0.75 Defined: mtransitive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R T) U))->((R S) U))))
% 0.46/0.75 FOF formula (<kernel.Constant object at 0x2b64bd280cb0>, <kernel.DependentProduct object at 0x8e8518>) of role type named meuclidean_type
% 0.46/0.75 Using role type
% 0.46/0.75 Declaring meuclidean:((fofType->(fofType->Prop))->Prop)
% 0.46/0.75 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) meuclidean) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((R T) U))))) of role definition named meuclidean
% 0.46/0.75 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) meuclidean) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((R T) U)))))
% 0.46/0.75 Defined: meuclidean:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((R T) U))))
% 0.46/0.75 FOF formula (<kernel.Constant object at 0x2b64bd280cb0>, <kernel.DependentProduct object at 0x8e8560>) of role type named mpartially_functional_type
% 0.46/0.75 Using role type
% 0.46/0.75 Declaring mpartially_functional:((fofType->(fofType->Prop))->Prop)
% 0.46/0.75 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mpartially_functional) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->(((eq fofType) T) U))))) of role definition named mpartially_functional
% 0.46/0.75 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mpartially_functional) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->(((eq fofType) T) U)))))
% 0.46/0.75 Defined: mpartially_functional:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->(((eq fofType) T) U))))
% 0.46/0.75 FOF formula (<kernel.Constant object at 0x2b64bd280098>, <kernel.DependentProduct object at 0x8e8560>) of role type named mfunctional_type
% 0.46/0.75 Using role type
% 0.46/0.75 Declaring mfunctional:((fofType->(fofType->Prop))->Prop)
% 0.46/0.76 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mfunctional) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((and ((R S) T)) (forall (U:fofType), (((R S) U)->(((eq fofType) T) U))))))))) of role definition named mfunctional
% 0.46/0.76 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mfunctional) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((and ((R S) T)) (forall (U:fofType), (((R S) U)->(((eq fofType) T) U)))))))))
% 0.46/0.76 Defined: mfunctional:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((and ((R S) T)) (forall (U:fofType), (((R S) U)->(((eq fofType) T) U))))))))
% 0.46/0.76 FOF formula (<kernel.Constant object at 0x8e8998>, <kernel.DependentProduct object at 0x8c2d88>) of role type named mweakly_dense_type
% 0.46/0.76 Using role type
% 0.46/0.76 Declaring mweakly_dense:((fofType->(fofType->Prop))->Prop)
% 0.46/0.76 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_dense) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (fofType->(((R S) T)->((ex fofType) (fun (U:fofType)=> ((and ((R S) U)) ((R U) T))))))))) of role definition named mweakly_dense
% 0.46/0.76 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_dense) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (fofType->(((R S) T)->((ex fofType) (fun (U:fofType)=> ((and ((R S) U)) ((R U) T)))))))))
% 0.46/0.76 Defined: mweakly_dense:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (fofType->(((R S) T)->((ex fofType) (fun (U:fofType)=> ((and ((R S) U)) ((R U) T))))))))
% 0.46/0.76 FOF formula (<kernel.Constant object at 0x8e8680>, <kernel.DependentProduct object at 0x8c2908>) of role type named mweakly_connected_type
% 0.46/0.76 Using role type
% 0.46/0.76 Declaring mweakly_connected:((fofType->(fofType->Prop))->Prop)
% 0.46/0.76 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_connected) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((or ((or ((R T) U)) (((eq fofType) T) U))) ((R U) T)))))) of role definition named mweakly_connected
% 0.46/0.76 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_connected) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((or ((or ((R T) U)) (((eq fofType) T) U))) ((R U) T))))))
% 0.46/0.76 Defined: mweakly_connected:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((or ((or ((R T) U)) (((eq fofType) T) U))) ((R U) T)))))
% 0.46/0.76 FOF formula (<kernel.Constant object at 0x8e8680>, <kernel.DependentProduct object at 0x8c2b48>) of role type named mweakly_directed_type
% 0.46/0.76 Using role type
% 0.46/0.76 Declaring mweakly_directed:((fofType->(fofType->Prop))->Prop)
% 0.46/0.76 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_directed) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((ex fofType) (fun (V:fofType)=> ((and ((R T) V)) ((R U) V)))))))) of role definition named mweakly_directed
% 0.46/0.76 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_directed) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((ex fofType) (fun (V:fofType)=> ((and ((R T) V)) ((R U) V))))))))
% 0.46/0.76 Defined: mweakly_directed:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((ex fofType) (fun (V:fofType)=> ((and ((R T) V)) ((R U) V)))))))
% 0.46/0.76 FOF formula (<kernel.Constant object at 0x8c2b48>, <kernel.DependentProduct object at 0x8c2908>) of role type named mvalid_type
% 0.46/0.76 Using role type
% 0.46/0.76 Declaring mvalid:((fofType->Prop)->Prop)
% 0.46/0.76 FOF formula (((eq ((fofType->Prop)->Prop)) mvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W)))) of role definition named mvalid
% 0.46/0.76 A new definition: (((eq ((fofType->Prop)->Prop)) mvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W))))
% 0.46/0.76 Defined: mvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W)))
% 0.46/0.76 FOF formula (<kernel.Constant object at 0x8c2638>, <kernel.DependentProduct object at 0x2b64bd27e200>) of role type named minvalid_type
% 0.46/0.77 Using role type
% 0.46/0.77 Declaring minvalid:((fofType->Prop)->Prop)
% 0.46/0.77 FOF formula (((eq ((fofType->Prop)->Prop)) minvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False)))) of role definition named minvalid
% 0.46/0.77 A new definition: (((eq ((fofType->Prop)->Prop)) minvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False))))
% 0.46/0.77 Defined: minvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False)))
% 0.46/0.77 FOF formula (<kernel.Constant object at 0x8c2b00>, <kernel.DependentProduct object at 0x2b64bd27e5f0>) of role type named msatisfiable_type
% 0.46/0.77 Using role type
% 0.46/0.77 Declaring msatisfiable:((fofType->Prop)->Prop)
% 0.46/0.77 FOF formula (((eq ((fofType->Prop)->Prop)) msatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W))))) of role definition named msatisfiable
% 0.46/0.77 A new definition: (((eq ((fofType->Prop)->Prop)) msatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W)))))
% 0.46/0.77 Defined: msatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W))))
% 0.46/0.77 FOF formula (<kernel.Constant object at 0x8c2d88>, <kernel.DependentProduct object at 0x2b64bd27e5f0>) of role type named mcountersatisfiable_type
% 0.46/0.77 Using role type
% 0.46/0.77 Declaring mcountersatisfiable:((fofType->Prop)->Prop)
% 0.46/0.77 FOF formula (((eq ((fofType->Prop)->Prop)) mcountersatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False))))) of role definition named mcountersatisfiable
% 0.46/0.77 A new definition: (((eq ((fofType->Prop)->Prop)) mcountersatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False)))))
% 0.46/0.77 Defined: mcountersatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False))))
% 0.46/0.77 Failed to open /home/cristobal/cocATP/CASC/TPTP/Axioms/LCL013^1.ax, trying next directory
% 0.46/0.77 FOF formula (<kernel.Constant object at 0x2b64bd280f80>, <kernel.DependentProduct object at 0x2b64bd280ea8>) of role type named rel_k_type
% 0.46/0.77 Using role type
% 0.46/0.77 Declaring rel_k:(fofType->(fofType->Prop))
% 0.46/0.77 FOF formula (<kernel.Constant object at 0x2b64bd280fc8>, <kernel.DependentProduct object at 0x2b64bd280ef0>) of role type named mbox_k_type
% 0.46/0.77 Using role type
% 0.46/0.77 Declaring mbox_k:((fofType->Prop)->(fofType->Prop))
% 0.46/0.77 FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) mbox_k) (fun (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((rel_k W) V)->False)) (Phi V))))) of role definition named mbox_k
% 0.46/0.77 A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) mbox_k) (fun (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((rel_k W) V)->False)) (Phi V)))))
% 0.46/0.77 Defined: mbox_k:=(fun (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((rel_k W) V)->False)) (Phi V))))
% 0.46/0.77 FOF formula (<kernel.Constant object at 0x2b64bd280ef0>, <kernel.DependentProduct object at 0x2b64bd280d88>) of role type named mdia_k_type
% 0.46/0.77 Using role type
% 0.46/0.77 Declaring mdia_k:((fofType->Prop)->(fofType->Prop))
% 0.46/0.77 FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) mdia_k) (fun (Phi:(fofType->Prop))=> (mnot (mbox_k (mnot Phi))))) of role definition named mdia_k
% 0.46/0.77 A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) mdia_k) (fun (Phi:(fofType->Prop))=> (mnot (mbox_k (mnot Phi)))))
% 0.46/0.77 Defined: mdia_k:=(fun (Phi:(fofType->Prop))=> (mnot (mbox_k (mnot Phi))))
% 0.46/0.77 FOF formula (<kernel.Constant object at 0x8e5128>, <kernel.DependentProduct object at 0x8e5638>) of role type named p_type
% 0.46/0.77 Using role type
% 0.46/0.77 Declaring p:(fofType->Prop)
% 0.46/0.77 FOF formula (<kernel.Constant object at 0x8e5488>, <kernel.DependentProduct object at 0x2b64c4d4e488>) of role type named q_type
% 0.46/0.77 Using role type
% 0.46/0.77 Declaring q:(fofType->Prop)
% 0.46/0.77 FOF formula (<kernel.Constant object at 0x8e5638>, <kernel.DependentProduct object at 0x2b64c4d4e5a8>) of role type named r_type
% 0.46/0.77 Using role type
% 0.46/0.77 Declaring r:(fofType->Prop)
% 0.46/0.77 FOF formula (mvalid ((mequiv (mnot (mdia_k ((mand q) r)))) (mbox_k ((mimplies q) (mnot r))))) of role conjecture named prove
% 0.46/0.77 Conjecture to prove = (mvalid ((mequiv (mnot (mdia_k ((mand q) r)))) (mbox_k ((mimplies q) (mnot r))))):Prop
% 0.46/0.77 Parameter mu_DUMMY:mu.
% 0.46/0.77 Parameter fofType_DUMMY:fofType.
% 0.46/0.77 We need to prove ['(mvalid ((mequiv (mnot (mdia_k ((mand q) r)))) (mbox_k ((mimplies q) (mnot r)))))']
% 0.46/0.77 Parameter mu:Type.
% 0.46/0.77 Parameter fofType:Type.
% 0.46/0.77 Definition meq_ind:=(fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y)):(mu->(mu->(fofType->Prop))).
% 0.46/0.77 Definition meq_prop:=(fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (W:fofType)=> (((eq Prop) (X W)) (Y W))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.46/0.77 Definition mnot:=(fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False)):((fofType->Prop)->(fofType->Prop)).
% 0.46/0.77 Definition mor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or (Phi W)) (Psi W))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.46/0.77 Definition mand:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi)))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.46/0.77 Definition mimplies:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.46/0.77 Definition mimplied:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.46/0.77 Definition mequiv:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mand ((mimplies Phi) Psi)) ((mimplies Psi) Phi))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.46/0.77 Definition mxor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.46/0.77 Definition mforall_ind:=(fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), ((Phi X) W))):((mu->(fofType->Prop))->(fofType->Prop)).
% 0.46/0.77 Definition mforall_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop))) (W:fofType)=> (forall (P:(fofType->Prop)), ((Phi P) W))):(((fofType->Prop)->(fofType->Prop))->(fofType->Prop)).
% 0.46/0.77 Definition mexists_ind:=(fun (Phi:(mu->(fofType->Prop)))=> (mnot (mforall_ind (fun (X:mu)=> (mnot (Phi X)))))):((mu->(fofType->Prop))->(fofType->Prop)).
% 0.46/0.77 Definition mexists_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop)))=> (mnot (mforall_prop (fun (P:(fofType->Prop))=> (mnot (Phi P)))))):(((fofType->Prop)->(fofType->Prop))->(fofType->Prop)).
% 0.46/0.77 Definition mtrue:=(fun (W:fofType)=> True):(fofType->Prop).
% 0.46/0.77 Definition mfalse:=(mnot mtrue):(fofType->Prop).
% 0.46/0.77 Definition mbox:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((R W) V)->False)) (Phi V)))):((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop))).
% 0.46/0.77 Definition mdia:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop))=> (mnot ((mbox R) (mnot Phi)))):((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop))).
% 0.46/0.77 Definition mreflexive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S))):((fofType->(fofType->Prop))->Prop).
% 0.46/0.77 Definition msymmetric:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (((R S) T)->((R T) S)))):((fofType->(fofType->Prop))->Prop).
% 0.46/0.77 Definition mserial:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((R S) T))))):((fofType->(fofType->Prop))->Prop).
% 0.46/0.77 Definition mtransitive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R T) U))->((R S) U)))):((fofType->(fofType->Prop))->Prop).
% 0.46/0.77 Definition meuclidean:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((R T) U)))):((fofType->(fofType->Prop))->Prop).
% 0.46/0.77 Definition mpartially_functional:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->(((eq fofType) T) U)))):((fofType->(fofType->Prop))->Prop).
% 0.46/0.77 Definition mfunctional:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((and ((R S) T)) (forall (U:fofType), (((R S) U)->(((eq fofType) T) U)))))))):((fofType->(fofType->Prop))->Prop).
% 0.46/0.77 Definition mweakly_dense:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (fofType->(((R S) T)->((ex fofType) (fun (U:fofType)=> ((and ((R S) U)) ((R U) T)))))))):((fofType->(fofType->Prop))->Prop).
% 66.77/67.16 Definition mweakly_connected:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((or ((or ((R T) U)) (((eq fofType) T) U))) ((R U) T))))):((fofType->(fofType->Prop))->Prop).
% 66.77/67.16 Definition mweakly_directed:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((ex fofType) (fun (V:fofType)=> ((and ((R T) V)) ((R U) V))))))):((fofType->(fofType->Prop))->Prop).
% 66.77/67.16 Definition mvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W))):((fofType->Prop)->Prop).
% 66.77/67.16 Definition minvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False))):((fofType->Prop)->Prop).
% 66.77/67.16 Definition msatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W)))):((fofType->Prop)->Prop).
% 66.77/67.16 Definition mcountersatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False)))):((fofType->Prop)->Prop).
% 66.77/67.16 Parameter rel_k:(fofType->(fofType->Prop)).
% 66.77/67.16 Definition mbox_k:=(fun (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((rel_k W) V)->False)) (Phi V)))):((fofType->Prop)->(fofType->Prop)).
% 66.77/67.16 Definition mdia_k:=(fun (Phi:(fofType->Prop))=> (mnot (mbox_k (mnot Phi)))):((fofType->Prop)->(fofType->Prop)).
% 66.77/67.16 Parameter p:(fofType->Prop).
% 66.77/67.16 Parameter q:(fofType->Prop).
% 66.77/67.16 Parameter r:(fofType->Prop).
% 66.77/67.16 Trying to prove (mvalid ((mequiv (mnot (mdia_k ((mand q) r)))) (mbox_k ((mimplies q) (mnot r)))))
% 66.77/67.16 Found x20:False
% 66.77/67.16 Found (fun (x3:(((mimplies q) (mnot r)) V0))=> x20) as proof of False
% 66.77/67.16 Found (fun (x3:(((mimplies q) (mnot r)) V0))=> x20) as proof of ((((mimplies q) (mnot r)) V0)->False)
% 66.77/67.16 Found x20:False
% 66.77/67.16 Found (fun (x3:(((rel_k W) V0)->False))=> x20) as proof of False
% 66.77/67.16 Found (fun (x3:(((rel_k W) V0)->False))=> x20) as proof of ((((rel_k W) V0)->False)->False)
% 66.77/67.16 Found x20:False
% 66.77/67.16 Found (fun (x3:(((mimplied (mnot r)) q) V0))=> x20) as proof of False
% 66.77/67.16 Found (fun (x3:(((mimplied (mnot r)) q) V0))=> x20) as proof of ((((mimplied (mnot r)) q) V0)->False)
% 66.77/67.16 Found x20:False
% 66.77/67.16 Found (fun (x3:(((rel_k S) V0)->False))=> x20) as proof of False
% 66.77/67.16 Found (fun (x3:(((rel_k S) V0)->False))=> x20) as proof of ((((rel_k S) V0)->False)->False)
% 66.77/67.16 Found x30:False
% 66.77/67.16 Found (fun (x4:((mnot ((mand q) r)) V0))=> x30) as proof of False
% 66.77/67.16 Found (fun (x4:((mnot ((mand q) r)) V0))=> x30) as proof of (((mnot ((mand q) r)) V0)->False)
% 66.77/67.16 Found x30:False
% 66.77/67.16 Found (fun (x4:(((rel_k W) V0)->False))=> x30) as proof of False
% 66.77/67.16 Found (fun (x4:(((rel_k W) V0)->False))=> x30) as proof of ((((rel_k W) V0)->False)->False)
% 66.77/67.16 Found x20:False
% 66.77/67.16 Found (fun (x3:(((rel_k W) V0)->False))=> x20) as proof of False
% 66.77/67.16 Found (fun (x3:(((rel_k W) V0)->False))=> x20) as proof of ((((rel_k W) V0)->False)->False)
% 66.77/67.16 Found x20:False
% 66.77/67.16 Found (fun (x3:(((mimplies q) (mnot r)) V0))=> x20) as proof of False
% 66.77/67.16 Found (fun (x3:(((mimplies q) (mnot r)) V0))=> x20) as proof of ((((mimplies q) (mnot r)) V0)->False)
% 66.77/67.16 Found x30:False
% 66.77/67.16 Found (fun (x4:(((rel_k S) V0)->False))=> x30) as proof of False
% 66.77/67.16 Found (fun (x4:(((rel_k S) V0)->False))=> x30) as proof of ((((rel_k S) V0)->False)->False)
% 66.77/67.16 Found x30:False
% 66.77/67.16 Found (fun (x4:((mnot ((mand q) r)) V0))=> x30) as proof of False
% 66.77/67.16 Found (fun (x4:((mnot ((mand q) r)) V0))=> x30) as proof of (((mnot ((mand q) r)) V0)->False)
% 66.77/67.16 Found x40:False
% 66.77/67.16 Found (fun (x5:(((mor (mnot q)) (mnot r)) V))=> x40) as proof of False
% 66.77/67.16 Found (fun (x5:(((mor (mnot q)) (mnot r)) V))=> x40) as proof of (((mand q) r) V)
% 66.77/67.16 Found x20:False
% 66.77/67.16 Found (fun (x3:(((rel_k S) V0)->False))=> x20) as proof of False
% 66.77/67.16 Found (fun (x3:(((rel_k S) V0)->False))=> x20) as proof of ((((rel_k S) V0)->False)->False)
% 66.77/67.16 Found x20:False
% 66.77/67.16 Found (fun (x3:(((mimplied (mnot r)) q) V0))=> x20) as proof of False
% 66.77/67.16 Found (fun (x3:(((mimplied (mnot r)) q) V0))=> x20) as proof of ((((mimplied (mnot r)) q) V0)->False)
% 66.77/67.16 Found x40:False
% 66.77/67.16 Found (fun (x5:(((mor (mnot q)) (mnot r)) V))=> x40) as proof of False
% 66.77/67.16 Found (fun (x5:(((mor (mnot q)) (mnot r)) V))=> x40) as proof of (((mand q) r) V)
% 66.77/67.16 Found x30:False
% 66.77/67.16 Found (fun (x5:(((mor (mnot q)) (mnot r)) V0))=> x30) as proof of False
% 135.34/135.78 Found (fun (x5:(((mor (mnot q)) (mnot r)) V0))=> x30) as proof of (((mand q) r) V0)
% 135.34/135.78 Found x30:False
% 135.34/135.78 Found (fun (x4:(((rel_k W) V0)->False))=> x30) as proof of False
% 135.34/135.78 Found (fun (x4:(((rel_k W) V0)->False))=> x30) as proof of ((((rel_k W) V0)->False)->False)
% 135.34/135.78 Found x30:False
% 135.34/135.78 Found (fun (x4:((mnot ((mand q) r)) V0))=> x30) as proof of False
% 135.34/135.78 Found (fun (x4:((mnot ((mand q) r)) V0))=> x30) as proof of (((mnot ((mand q) r)) V0)->False)
% 135.34/135.78 Found x20:False
% 135.34/135.78 Found (fun (x4:((mnot q) V0))=> x20) as proof of False
% 135.34/135.78 Found (fun (x4:((mnot q) V0))=> x20) as proof of (((mnot q) V0)->False)
% 135.34/135.78 Found x20:False
% 135.34/135.78 Found (fun (x4:((mnot r) V0))=> x20) as proof of False
% 135.34/135.78 Found (fun (x4:((mnot r) V0))=> x20) as proof of (((mnot r) V0)->False)
% 135.34/135.78 Found x40:False
% 135.34/135.78 Found (fun (x5:(((mor (mnot q)) (mnot r)) V))=> x40) as proof of False
% 135.34/135.78 Found (fun (x5:(((mor (mnot q)) (mnot r)) V))=> x40) as proof of (((mand q) r) V)
% 135.34/135.78 Found x40:False
% 135.34/135.78 Found (fun (x5:(((mor (mnot q)) (mnot r)) V))=> x40) as proof of False
% 135.34/135.78 Found (fun (x5:(((mor (mnot q)) (mnot r)) V))=> x40) as proof of (((mand q) r) V)
% 135.34/135.78 Found x30:False
% 135.34/135.78 Found (fun (x5:(((mor (mnot q)) (mnot r)) V0))=> x30) as proof of False
% 135.34/135.78 Found (fun (x5:(((mor (mnot q)) (mnot r)) V0))=> x30) as proof of (((mand q) r) V0)
% 135.34/135.78 Found x30:False
% 135.34/135.78 Found (fun (x4:((mnot r) V))=> x30) as proof of False
% 135.34/135.78 Found (fun (x4:((mnot r) V))=> x30) as proof of (((mnot r) V)->False)
% 135.34/135.78 Found x30:False
% 135.34/135.78 Found (fun (x4:((mnot q) V))=> x30) as proof of False
% 135.34/135.78 Found (fun (x4:((mnot q) V))=> x30) as proof of (((mnot q) V)->False)
% 135.34/135.78 Found x30:False
% 135.34/135.78 Found (fun (x4:((mnot ((mand q) r)) V0))=> x30) as proof of False
% 135.34/135.78 Found (fun (x4:((mnot ((mand q) r)) V0))=> x30) as proof of (((mnot ((mand q) r)) V0)->False)
% 135.34/135.78 Found x30:False
% 135.34/135.78 Found (fun (x4:(((rel_k S) V0)->False))=> x30) as proof of False
% 135.34/135.78 Found (fun (x4:(((rel_k S) V0)->False))=> x30) as proof of ((((rel_k S) V0)->False)->False)
% 135.34/135.78 Found x20:False
% 135.34/135.78 Found (fun (x4:((mnot q) V0))=> x20) as proof of False
% 135.34/135.78 Found (fun (x4:((mnot q) V0))=> x20) as proof of (((mnot q) V0)->False)
% 135.34/135.78 Found x20:False
% 135.34/135.78 Found (fun (x4:((mnot r) V0))=> x20) as proof of False
% 135.34/135.78 Found (fun (x4:((mnot r) V0))=> x20) as proof of (((mnot r) V0)->False)
% 135.34/135.78 Found x40:False
% 135.34/135.78 Found (fun (x5:(((mor (mnot q)) (mnot r)) V))=> x40) as proof of False
% 135.34/135.78 Found (fun (x5:(((mor (mnot q)) (mnot r)) V))=> x40) as proof of (((mand q) r) V)
% 135.34/135.78 Found x20:False
% 135.34/135.78 Found (fun (x3:(((rel_k W) V0)->False))=> x20) as proof of False
% 135.34/135.78 Found (fun (x3:(((rel_k W) V0)->False))=> x20) as proof of ((((rel_k W) V0)->False)->False)
% 135.34/135.78 Found x20:False
% 135.34/135.78 Found (fun (x3:(((mimplies q) (mnot r)) V0))=> x20) as proof of False
% 135.34/135.78 Found (fun (x3:(((mimplies q) (mnot r)) V0))=> x20) as proof of ((((mimplies q) (mnot r)) V0)->False)
% 135.34/135.78 Found x30:False
% 135.34/135.78 Found (fun (x4:((mnot r) V))=> x30) as proof of False
% 135.34/135.78 Found (fun (x4:((mnot r) V))=> x30) as proof of (((mnot r) V)->False)
% 135.34/135.78 Found x30:False
% 135.34/135.78 Found (fun (x4:((mnot q) V))=> x30) as proof of False
% 135.34/135.78 Found (fun (x4:((mnot q) V))=> x30) as proof of (((mnot q) V)->False)
% 135.34/135.78 Found x40:False
% 135.34/135.78 Found (fun (x5:(((mor (mnot q)) (mnot r)) V))=> x40) as proof of False
% 135.34/135.78 Found (fun (x5:(((mor (mnot q)) (mnot r)) V))=> x40) as proof of (((mand q) r) V)
% 135.34/135.78 Found x30:False
% 135.34/135.78 Found (fun (x5:(((mor (mnot q)) (mnot r)) V0))=> x30) as proof of False
% 135.34/135.78 Found (fun (x5:(((mor (mnot q)) (mnot r)) V0))=> x30) as proof of (((mand q) r) V0)
% 135.34/135.78 Found x20:False
% 135.34/135.78 Found (fun (x3:(((rel_k W) V0)->False))=> x20) as proof of False
% 135.34/135.78 Found (fun (x3:(((rel_k W) V0)->False))=> x20) as proof of ((((rel_k W) V0)->False)->False)
% 135.34/135.78 Found x20:False
% 135.34/135.78 Found (fun (x3:(((mimplies q) (mnot r)) V0))=> x20) as proof of False
% 135.34/135.78 Found (fun (x3:(((mimplies q) (mnot r)) V0))=> x20) as proof of ((((mimplies q) (mnot r)) V0)->False)
% 135.34/135.78 Found x20:False
% 135.34/135.78 Found (fun (x4:((mnot q) V0))=> x20) as proof of False
% 135.34/135.78 Found (fun (x4:((mnot q) V0))=> x20) as proof of (((mnot q) V0)->False)
% 135.34/135.78 Found x20:False
% 135.34/135.78 Found (fun (x4:((mnot r) V0))=> x20) as proof of False
% 135.34/135.78 Found (fun (x4:((mnot r) V0))=> x20) as proof of (((mnot r) V0)->False)
% 135.34/135.78 Found x40:False
% 135.34/135.78 Found (fun (x5:(((mor (mnot q)) (mnot r)) V))=> x40) as proof of False
% 135.34/135.78 Found (fun (x5:(((mor (mnot q)) (mnot r)) V))=> x40) as proof of (((mand q) r) V)
% 170.49/170.93 Found x30:False
% 170.49/170.93 Found (fun (x4:((mnot q) V))=> x30) as proof of False
% 170.49/170.93 Found (fun (x4:((mnot q) V))=> x30) as proof of (((mnot q) V)->False)
% 170.49/170.93 Found x30:False
% 170.49/170.93 Found (fun (x4:((mnot r) V))=> x30) as proof of False
% 170.49/170.93 Found (fun (x4:((mnot r) V))=> x30) as proof of (((mnot r) V)->False)
% 170.49/170.93 Found x20:False
% 170.49/170.93 Found (fun (x3:(((mimplied (mnot r)) q) V0))=> x20) as proof of False
% 170.49/170.93 Found (fun (x3:(((mimplied (mnot r)) q) V0))=> x20) as proof of ((((mimplied (mnot r)) q) V0)->False)
% 170.49/170.93 Found x20:False
% 170.49/170.93 Found (fun (x3:(((rel_k S) V0)->False))=> x20) as proof of False
% 170.49/170.93 Found (fun (x3:(((rel_k S) V0)->False))=> x20) as proof of ((((rel_k S) V0)->False)->False)
% 170.49/170.93 Found x40:False
% 170.49/170.93 Found (fun (x5:(((mor (mnot q)) (mnot r)) V))=> x40) as proof of False
% 170.49/170.93 Found (fun (x5:(((mor (mnot q)) (mnot r)) V))=> x40) as proof of (((mand q) r) V)
% 170.49/170.93 Found x30:False
% 170.49/170.93 Found (fun (x5:(((mor (mnot q)) (mnot r)) V0))=> x30) as proof of False
% 170.49/170.93 Found (fun (x5:(((mor (mnot q)) (mnot r)) V0))=> x30) as proof of (((mand q) r) V0)
% 170.49/170.93 Found x20:False
% 170.49/170.93 Found (fun (x3:(((rel_k S) V0)->False))=> x20) as proof of False
% 170.49/170.93 Found (fun (x3:(((rel_k S) V0)->False))=> x20) as proof of ((((rel_k S) V0)->False)->False)
% 170.49/170.93 Found x20:False
% 170.49/170.93 Found (fun (x3:(((mimplied (mnot r)) q) V0))=> x20) as proof of False
% 170.49/170.93 Found (fun (x3:(((mimplied (mnot r)) q) V0))=> x20) as proof of ((((mimplied (mnot r)) q) V0)->False)
% 170.49/170.93 Found x30:False
% 170.49/170.93 Found (fun (x4:((mnot ((mand q) r)) V0))=> x30) as proof of False
% 170.49/170.93 Found (fun (x4:((mnot ((mand q) r)) V0))=> x30) as proof of (((mnot ((mand q) r)) V0)->False)
% 170.49/170.93 Found x30:False
% 170.49/170.93 Found (fun (x4:(((rel_k W) V0)->False))=> x30) as proof of False
% 170.49/170.93 Found (fun (x4:(((rel_k W) V0)->False))=> x30) as proof of ((((rel_k W) V0)->False)->False)
% 170.49/170.93 Found x30:False
% 170.49/170.93 Found (fun (x4:((mnot ((mand q) r)) V0))=> x30) as proof of False
% 170.49/170.93 Found (fun (x4:((mnot ((mand q) r)) V0))=> x30) as proof of (((mnot ((mand q) r)) V0)->False)
% 170.49/170.93 Found x30:False
% 170.49/170.93 Found (fun (x4:(((rel_k W) V0)->False))=> x30) as proof of False
% 170.49/170.93 Found (fun (x4:(((rel_k W) V0)->False))=> x30) as proof of ((((rel_k W) V0)->False)->False)
% 170.49/170.93 Found x30:False
% 170.49/170.93 Found (fun (x4:(((rel_k W) V0)->False))=> x30) as proof of False
% 170.49/170.93 Found (fun (x4:(((rel_k W) V0)->False))=> x30) as proof of ((((rel_k W) V0)->False)->False)
% 170.49/170.93 Found x30:False
% 170.49/170.93 Found (fun (x4:((mnot ((mand q) r)) V0))=> x30) as proof of False
% 170.49/170.93 Found (fun (x4:((mnot ((mand q) r)) V0))=> x30) as proof of (((mnot ((mand q) r)) V0)->False)
% 170.49/170.93 Found x40:False
% 170.49/170.93 Found (fun (x6:((mnot r) V))=> x40) as proof of False
% 170.49/170.93 Found (fun (x6:((mnot r) V))=> x40) as proof of (((mnot r) V)->False)
% 170.49/170.93 Found x40:False
% 170.49/170.93 Found (fun (x6:((mnot q) V))=> x40) as proof of False
% 170.49/170.93 Found (fun (x6:((mnot q) V))=> x40) as proof of (((mnot q) V)->False)
% 170.49/170.93 Found x20:False
% 170.49/170.93 Found (fun (x4:((mnot q) V0))=> x20) as proof of False
% 170.49/170.93 Found (fun (x4:((mnot q) V0))=> x20) as proof of (((mnot q) V0)->False)
% 170.49/170.93 Found x20:False
% 170.49/170.93 Found (fun (x4:((mnot r) V0))=> x20) as proof of False
% 170.49/170.93 Found (fun (x4:((mnot r) V0))=> x20) as proof of (((mnot r) V0)->False)
% 170.49/170.93 Found x50:False
% 170.49/170.93 Found (fun (x6:((mnot r) V))=> x50) as proof of False
% 170.49/170.93 Found (fun (x6:((mnot r) V))=> x50) as proof of (((mnot r) V)->False)
% 170.49/170.93 Found x50:False
% 170.49/170.93 Found (fun (x6:((mnot q) V))=> x50) as proof of False
% 170.49/170.93 Found (fun (x6:((mnot q) V))=> x50) as proof of (((mnot q) V)->False)
% 170.49/170.93 Found x40:False
% 170.49/170.93 Found (fun (x6:((mnot r) V))=> x40) as proof of False
% 170.49/170.93 Found (fun (x6:((mnot r) V))=> x40) as proof of (((mnot r) V)->False)
% 170.49/170.93 Found x40:False
% 170.49/170.93 Found (fun (x6:((mnot q) V))=> x40) as proof of False
% 170.49/170.93 Found (fun (x6:((mnot q) V))=> x40) as proof of (((mnot q) V)->False)
% 170.49/170.93 Found x30:False
% 170.49/170.93 Found (fun (x6:((mnot q) V0))=> x30) as proof of False
% 170.49/170.93 Found (fun (x6:((mnot q) V0))=> x30) as proof of (((mnot q) V0)->False)
% 170.49/170.93 Found x30:False
% 170.49/170.93 Found (fun (x6:((mnot r) V0))=> x30) as proof of False
% 170.49/170.93 Found (fun (x6:((mnot r) V0))=> x30) as proof of (((mnot r) V0)->False)
% 170.49/170.93 Found x20:False
% 170.49/170.93 Found (fun (x3:(((mimplies q) (mnot r)) V0))=> x20) as proof of False
% 170.49/170.93 Found (fun (x3:(((mimplies q) (mnot r)) V0))=> x20) as proof of ((((mimplies q) (mnot r)) V0)->False)
% 170.49/170.93 Found x20:False
% 170.49/170.93 Found (fun (x3:(((rel_k W) V0)->False))=> x20) as proof of False
% 213.15/213.62 Found (fun (x3:(((rel_k W) V0)->False))=> x20) as proof of ((((rel_k W) V0)->False)->False)
% 213.15/213.62 Found x20:False
% 213.15/213.62 Found (fun (x3:(((mimplies q) (mnot r)) V0))=> x20) as proof of False
% 213.15/213.62 Found (fun (x3:(((mimplies q) (mnot r)) V0))=> x20) as proof of ((((mimplies q) (mnot r)) V0)->False)
% 213.15/213.62 Found x20:False
% 213.15/213.62 Found (fun (x3:(((rel_k W) V0)->False))=> x20) as proof of False
% 213.15/213.62 Found (fun (x3:(((rel_k W) V0)->False))=> x20) as proof of ((((rel_k W) V0)->False)->False)
% 213.15/213.62 Found x30:False
% 213.15/213.62 Found (fun (x4:((mnot q) V))=> x30) as proof of False
% 213.15/213.62 Found (fun (x4:((mnot q) V))=> x30) as proof of (((mnot q) V)->False)
% 213.15/213.62 Found x30:False
% 213.15/213.62 Found (fun (x4:((mnot r) V))=> x30) as proof of False
% 213.15/213.62 Found (fun (x4:((mnot r) V))=> x30) as proof of (((mnot r) V)->False)
% 213.15/213.62 Found x30:False
% 213.15/213.62 Found (fun (x4:(((rel_k S) V0)->False))=> x30) as proof of False
% 213.15/213.62 Found (fun (x4:(((rel_k S) V0)->False))=> x30) as proof of ((((rel_k S) V0)->False)->False)
% 213.15/213.62 Found x30:False
% 213.15/213.62 Found (fun (x4:((mnot ((mand q) r)) V0))=> x30) as proof of False
% 213.15/213.62 Found (fun (x4:((mnot ((mand q) r)) V0))=> x30) as proof of (((mnot ((mand q) r)) V0)->False)
% 213.15/213.62 Found x30:False
% 213.15/213.62 Found (fun (x4:(((rel_k S) V0)->False))=> x30) as proof of False
% 213.15/213.62 Found (fun (x4:(((rel_k S) V0)->False))=> x30) as proof of ((((rel_k S) V0)->False)->False)
% 213.15/213.62 Found x30:False
% 213.15/213.62 Found (fun (x4:((mnot ((mand q) r)) V0))=> x30) as proof of False
% 213.15/213.62 Found (fun (x4:((mnot ((mand q) r)) V0))=> x30) as proof of (((mnot ((mand q) r)) V0)->False)
% 213.15/213.62 Found x30:False
% 213.15/213.62 Found (fun (x4:((mnot ((mand q) r)) V0))=> x30) as proof of False
% 213.15/213.62 Found (fun (x4:((mnot ((mand q) r)) V0))=> x30) as proof of (((mnot ((mand q) r)) V0)->False)
% 213.15/213.62 Found x30:False
% 213.15/213.62 Found (fun (x4:(((rel_k S) V0)->False))=> x30) as proof of False
% 213.15/213.62 Found (fun (x4:(((rel_k S) V0)->False))=> x30) as proof of ((((rel_k S) V0)->False)->False)
% 213.15/213.62 Found x20:False
% 213.15/213.62 Found (fun (x3:(((rel_k W) V0)->False))=> x20) as proof of False
% 213.15/213.62 Found (fun (x3:(((rel_k W) V0)->False))=> x20) as proof of ((((rel_k W) V0)->False)->False)
% 213.15/213.62 Found x20:False
% 213.15/213.62 Found (fun (x3:(((mimplies q) (mnot r)) V0))=> x20) as proof of False
% 213.15/213.62 Found (fun (x3:(((mimplies q) (mnot r)) V0))=> x20) as proof of ((((mimplies q) (mnot r)) V0)->False)
% 213.15/213.62 Found x40:False
% 213.15/213.62 Found (fun (x6:((mnot r) V))=> x40) as proof of False
% 213.15/213.62 Found (fun (x6:((mnot r) V))=> x40) as proof of (((mnot r) V)->False)
% 213.15/213.62 Found x40:False
% 213.15/213.62 Found (fun (x6:((mnot q) V))=> x40) as proof of False
% 213.15/213.62 Found (fun (x6:((mnot q) V))=> x40) as proof of (((mnot q) V)->False)
% 213.15/213.62 Found x40:False
% 213.15/213.62 Found (fun (x5:(((mor (mnot q)) (mnot r)) V))=> x40) as proof of False
% 213.15/213.62 Found (fun (x5:(((mor (mnot q)) (mnot r)) V))=> x40) as proof of (((mand q) r) V)
% 213.15/213.62 Found x50:False
% 213.15/213.62 Found (fun (x6:((mnot r) V))=> x50) as proof of False
% 213.15/213.62 Found (fun (x6:((mnot r) V))=> x50) as proof of (((mnot r) V)->False)
% 213.15/213.62 Found x50:False
% 213.15/213.62 Found (fun (x6:((mnot q) V))=> x50) as proof of False
% 213.15/213.62 Found (fun (x6:((mnot q) V))=> x50) as proof of (((mnot q) V)->False)
% 213.15/213.62 Found x40:False
% 213.15/213.62 Found (fun (x6:((mnot q) V))=> x40) as proof of False
% 213.15/213.62 Found (fun (x6:((mnot q) V))=> x40) as proof of (((mnot q) V)->False)
% 213.15/213.62 Found x40:False
% 213.15/213.62 Found (fun (x6:((mnot r) V))=> x40) as proof of False
% 213.15/213.62 Found (fun (x6:((mnot r) V))=> x40) as proof of (((mnot r) V)->False)
% 213.15/213.62 Found x30:False
% 213.15/213.62 Found (fun (x6:((mnot q) V0))=> x30) as proof of False
% 213.15/213.62 Found (fun (x6:((mnot q) V0))=> x30) as proof of (((mnot q) V0)->False)
% 213.15/213.62 Found x30:False
% 213.15/213.62 Found (fun (x6:((mnot r) V0))=> x30) as proof of False
% 213.15/213.62 Found (fun (x6:((mnot r) V0))=> x30) as proof of (((mnot r) V0)->False)
% 213.15/213.62 Found x40:False
% 213.15/213.62 Found (fun (x5:(((mor (mnot q)) (mnot r)) V))=> x40) as proof of False
% 213.15/213.62 Found (fun (x5:(((mor (mnot q)) (mnot r)) V))=> x40) as proof of (((mand q) r) V)
% 213.15/213.62 Found x40:False
% 213.15/213.62 Found (fun (x5:(((mor (mnot q)) (mnot r)) V))=> x40) as proof of False
% 213.15/213.62 Found (fun (x5:(((mor (mnot q)) (mnot r)) V))=> x40) as proof of (((mand q) r) V)
% 213.15/213.62 Found x40:False
% 213.15/213.62 Found (fun (x5:(((mor (mnot q)) (mnot r)) V))=> x40) as proof of False
% 213.15/213.62 Found (fun (x5:(((mor (mnot q)) (mnot r)) V))=> x40) as proof of (((mand q) r) V)
% 213.15/213.62 Found x30:False
% 213.15/213.62 Found (fun (x5:(((mor (mnot q)) (mnot r)) V0))=> x30) as proof of False
% 213.15/213.62 Found (fun (x5:(((mor (mnot q)) (mnot r)) V0))=> x30) as proof of (((mand q) r) V0)
% 256.48/256.95 Found x20:False
% 256.48/256.95 Found (fun (x3:(((mimplied (mnot r)) q) V0))=> x20) as proof of False
% 256.48/256.95 Found (fun (x3:(((mimplied (mnot r)) q) V0))=> x20) as proof of ((((mimplied (mnot r)) q) V0)->False)
% 256.48/256.95 Found x20:False
% 256.48/256.95 Found (fun (x3:(((rel_k S) V0)->False))=> x20) as proof of False
% 256.48/256.95 Found (fun (x3:(((rel_k S) V0)->False))=> x20) as proof of ((((rel_k S) V0)->False)->False)
% 256.48/256.95 Found x40:False
% 256.48/256.95 Found (fun (x5:(((mor (mnot q)) (mnot r)) V))=> x40) as proof of False
% 256.48/256.95 Found (fun (x5:(((mor (mnot q)) (mnot r)) V))=> x40) as proof of (((mand q) r) V)
% 256.48/256.95 Found x30:False
% 256.48/256.95 Found (fun (x5:(((mor (mnot q)) (mnot r)) V0))=> x30) as proof of False
% 256.48/256.95 Found (fun (x5:(((mor (mnot q)) (mnot r)) V0))=> x30) as proof of (((mand q) r) V0)
% 256.48/256.95 Found x20:False
% 256.48/256.95 Found (fun (x3:(((rel_k S) V0)->False))=> x20) as proof of False
% 256.48/256.95 Found (fun (x3:(((rel_k S) V0)->False))=> x20) as proof of ((((rel_k S) V0)->False)->False)
% 256.48/256.95 Found x20:False
% 256.48/256.95 Found (fun (x3:(((mimplied (mnot r)) q) V0))=> x20) as proof of False
% 256.48/256.95 Found (fun (x3:(((mimplied (mnot r)) q) V0))=> x20) as proof of ((((mimplied (mnot r)) q) V0)->False)
% 256.48/256.96 Found x40:False
% 256.48/256.96 Found (fun (x5:(((mor (mnot q)) (mnot r)) V))=> x40) as proof of False
% 256.48/256.96 Found (fun (x5:(((mor (mnot q)) (mnot r)) V))=> x40) as proof of (((mand q) r) V)
% 256.48/256.96 Found x30:False
% 256.48/256.96 Found (fun (x5:(((mor (mnot q)) (mnot r)) V0))=> x30) as proof of False
% 256.48/256.96 Found (fun (x5:(((mor (mnot q)) (mnot r)) V0))=> x30) as proof of (((mand q) r) V0)
% 256.48/256.96 Found x30:False
% 256.48/256.96 Found (fun (x4:((mnot ((mand q) r)) V0))=> x30) as proof of False
% 256.48/256.96 Found (fun (x4:((mnot ((mand q) r)) V0))=> x30) as proof of (((mnot ((mand q) r)) V0)->False)
% 256.48/256.96 Found x30:False
% 256.48/256.96 Found (fun (x4:(((rel_k W) V0)->False))=> x30) as proof of False
% 256.48/256.96 Found (fun (x4:(((rel_k W) V0)->False))=> x30) as proof of ((((rel_k W) V0)->False)->False)
% 256.48/256.96 Found x40:False
% 256.48/256.96 Found (fun (x5:(((mor (mnot q)) (mnot r)) V))=> x40) as proof of False
% 256.48/256.96 Found (fun (x5:(((mor (mnot q)) (mnot r)) V))=> x40) as proof of ((((mor (mnot q)) (mnot r)) V)->False)
% 256.48/256.96 Found x20:False
% 256.48/256.96 Found (fun (x3:(((mimplied (mnot r)) q) V0))=> x20) as proof of False
% 256.48/256.96 Found (fun (x3:(((mimplied (mnot r)) q) V0))=> x20) as proof of ((((mimplied (mnot r)) q) V0)->False)
% 256.48/256.96 Found x20:False
% 256.48/256.96 Found (fun (x3:(((rel_k S) V0)->False))=> x20) as proof of False
% 256.48/256.96 Found (fun (x3:(((rel_k S) V0)->False))=> x20) as proof of ((((rel_k S) V0)->False)->False)
% 256.48/256.96 Found x30:False
% 256.48/256.96 Found (fun (x4:(((rel_k W) V0)->False))=> x30) as proof of False
% 256.48/256.96 Found (fun (x4:(((rel_k W) V0)->False))=> x30) as proof of ((((rel_k W) V0)->False)->False)
% 256.48/256.96 Found x30:False
% 256.48/256.96 Found (fun (x4:((mnot ((mand q) r)) V0))=> x30) as proof of False
% 256.48/256.96 Found (fun (x4:((mnot ((mand q) r)) V0))=> x30) as proof of (((mnot ((mand q) r)) V0)->False)
% 256.48/256.96 Found x30:False
% 256.48/256.96 Found (fun (x4:((mnot ((mand q) r)) V0))=> x30) as proof of False
% 256.48/256.96 Found (fun (x4:((mnot ((mand q) r)) V0))=> x30) as proof of (((mnot ((mand q) r)) V0)->False)
% 256.48/256.96 Found x30:False
% 256.48/256.96 Found (fun (x4:(((rel_k W) V0)->False))=> x30) as proof of False
% 256.48/256.96 Found (fun (x4:(((rel_k W) V0)->False))=> x30) as proof of ((((rel_k W) V0)->False)->False)
% 256.48/256.96 Found x40:False
% 256.48/256.96 Found (fun (x5:(((mor (mnot q)) (mnot r)) V))=> x40) as proof of False
% 256.48/256.96 Found (fun (x5:(((mor (mnot q)) (mnot r)) V))=> x40) as proof of ((((mor (mnot q)) (mnot r)) V)->False)
% 256.48/256.96 Found x30:False
% 256.48/256.96 Found (fun (x5:(((mor (mnot q)) (mnot r)) V0))=> x30) as proof of False
% 256.48/256.96 Found (fun (x5:(((mor (mnot q)) (mnot r)) V0))=> x30) as proof of ((((mor (mnot q)) (mnot r)) V0)->False)
% 256.48/256.96 Found x30:False
% 256.48/256.96 Found (fun (x4:(((rel_k W) V0)->False))=> x30) as proof of False
% 256.48/256.96 Found (fun (x4:(((rel_k W) V0)->False))=> x30) as proof of ((((rel_k W) V0)->False)->False)
% 256.48/256.96 Found x30:False
% 256.48/256.96 Found (fun (x4:((mnot ((mand q) r)) V0))=> x30) as proof of False
% 256.48/256.96 Found (fun (x4:((mnot ((mand q) r)) V0))=> x30) as proof of (((mnot ((mand q) r)) V0)->False)
% 256.48/256.96 Found x20:False
% 256.48/256.96 Found (fun (x4:((mnot r) V0))=> x20) as proof of False
% 256.48/256.96 Found (fun (x4:((mnot r) V0))=> x20) as proof of (((mnot r) V0)->False)
% 256.48/256.96 Found x20:False
% 256.48/256.96 Found (fun (x4:((mnot q) V0))=> x20) as proof of False
% 256.48/256.96 Found (fun (x4:((mnot q) V0))=> x20) as proof of (((mnot q) V0)->False)
% 256.48/256.96 Found x40:False
% 256.48/256.96 Found (fun (x6:((mnot r) V))=> x40) as proof of False
% 294.01/294.47 Found (fun (x6:((mnot r) V))=> x40) as proof of (((mnot r) V)->False)
% 294.01/294.47 Found x40:False
% 294.01/294.47 Found (fun (x6:((mnot q) V))=> x40) as proof of False
% 294.01/294.47 Found (fun (x6:((mnot q) V))=> x40) as proof of (((mnot q) V)->False)
% 294.01/294.47 Found x20:False
% 294.01/294.47 Found (fun (x4:((mnot r) V0))=> x20) as proof of False
% 294.01/294.47 Found (fun (x4:((mnot r) V0))=> x20) as proof of (((mnot r) V0)->False)
% 294.01/294.47 Found x20:False
% 294.01/294.47 Found (fun (x4:((mnot q) V0))=> x20) as proof of False
% 294.01/294.47 Found (fun (x4:((mnot q) V0))=> x20) as proof of (((mnot q) V0)->False)
% 294.01/294.47 Found x40:False
% 294.01/294.47 Found (fun (x5:(((mor (mnot q)) (mnot r)) V))=> x40) as proof of False
% 294.01/294.47 Found (fun (x5:(((mor (mnot q)) (mnot r)) V))=> x40) as proof of (((mand q) r) V)
% 294.01/294.47 Found x40:False
% 294.01/294.47 Found (fun (x5:(((mor (mnot q)) (mnot r)) V))=> x40) as proof of False
% 294.01/294.47 Found (fun (x5:(((mor (mnot q)) (mnot r)) V))=> x40) as proof of (((mand q) r) V)
% 294.01/294.47 Found x40:False
% 294.01/294.47 Found (fun (x5:(((mor (mnot q)) (mnot r)) V))=> x40) as proof of False
% 294.01/294.47 Found (fun (x5:(((mor (mnot q)) (mnot r)) V))=> x40) as proof of (((mand q) r) V)
% 294.01/294.47 Found x30:False
% 294.01/294.47 Found (fun (x4:((mnot q) V))=> x30) as proof of False
% 294.01/294.47 Found (fun (x4:((mnot q) V))=> x30) as proof of (((mnot q) V)->False)
% 294.01/294.47 Found x30:False
% 294.01/294.47 Found (fun (x4:((mnot r) V))=> x30) as proof of False
% 294.01/294.47 Found (fun (x4:((mnot r) V))=> x30) as proof of (((mnot r) V)->False)
% 294.01/294.47 Found x50:False
% 294.01/294.47 Found (fun (x6:((mnot r) V))=> x50) as proof of False
% 294.01/294.47 Found (fun (x6:((mnot r) V))=> x50) as proof of (((mnot r) V)->False)
% 294.01/294.47 Found x50:False
% 294.01/294.47 Found (fun (x6:((mnot q) V))=> x50) as proof of False
% 294.01/294.47 Found (fun (x6:((mnot q) V))=> x50) as proof of (((mnot q) V)->False)
% 294.01/294.47 Found x40:False
% 294.01/294.47 Found (fun (x6:((mnot r) V))=> x40) as proof of False
% 294.01/294.47 Found (fun (x6:((mnot r) V))=> x40) as proof of (((mnot r) V)->False)
% 294.01/294.47 Found x40:False
% 294.01/294.47 Found (fun (x6:((mnot q) V))=> x40) as proof of False
% 294.01/294.47 Found (fun (x6:((mnot q) V))=> x40) as proof of (((mnot q) V)->False)
% 294.01/294.47 Found x30:False
% 294.01/294.47 Found (fun (x6:((mnot q) V0))=> x30) as proof of False
% 294.01/294.47 Found (fun (x6:((mnot q) V0))=> x30) as proof of (((mnot q) V0)->False)
% 294.01/294.47 Found x30:False
% 294.01/294.47 Found (fun (x6:((mnot r) V0))=> x30) as proof of False
% 294.01/294.47 Found (fun (x6:((mnot r) V0))=> x30) as proof of (((mnot r) V0)->False)
% 294.01/294.47 Found x40:False
% 294.01/294.47 Found (fun (x5:(((mor (mnot q)) (mnot r)) V))=> x40) as proof of False
% 294.01/294.47 Found (fun (x5:(((mor (mnot q)) (mnot r)) V))=> x40) as proof of (((mand q) r) V)
% 294.01/294.47 Found x30:False
% 294.01/294.47 Found (fun (x5:(((mor (mnot q)) (mnot r)) V0))=> x30) as proof of False
% 294.01/294.47 Found (fun (x5:(((mor (mnot q)) (mnot r)) V0))=> x30) as proof of (((mand q) r) V0)
% 294.01/294.47 Found x30:False
% 294.01/294.47 Found (fun (x4:((mnot r) V))=> x30) as proof of False
% 294.01/294.47 Found (fun (x4:((mnot r) V))=> x30) as proof of (((mnot r) V)->False)
% 294.01/294.47 Found x30:False
% 294.01/294.47 Found (fun (x4:((mnot q) V))=> x30) as proof of False
% 294.01/294.47 Found (fun (x4:((mnot q) V))=> x30) as proof of (((mnot q) V)->False)
% 294.01/294.47 Found x40:False
% 294.01/294.47 Found (fun (x5:(((mor (mnot q)) (mnot r)) V))=> x40) as proof of False
% 294.01/294.47 Found (fun (x5:(((mor (mnot q)) (mnot r)) V))=> x40) as proof of (((mand q) r) V)
% 294.01/294.47 Found x30:False
% 294.01/294.47 Found (fun (x5:(((mor (mnot q)) (mnot r)) V0))=> x30) as proof of False
% 294.01/294.47 Found (fun (x5:(((mor (mnot q)) (mnot r)) V0))=> x30) as proof of (((mand q) r) V0)
% 294.01/294.47 Found x40:False
% 294.01/294.47 Found (fun (x5:(((mor (mnot q)) (mnot r)) V))=> x40) as proof of False
% 294.01/294.47 Found (fun (x5:(((mor (mnot q)) (mnot r)) V))=> x40) as proof of (((mand q) r) V)
% 294.01/294.47 Found x30:False
% 294.01/294.47 Found (fun (x5:(((mor (mnot q)) (mnot r)) V0))=> x30) as proof of False
% 294.01/294.47 Found (fun (x5:(((mor (mnot q)) (mnot r)) V0))=> x30) as proof of (((mand q) r) V0)
% 294.01/294.47 Found x40:False
% 294.01/294.47 Found (fun (x5:(((mor (mnot q)) (mnot r)) V))=> x40) as proof of False
% 294.01/294.47 Found (fun (x5:(((mor (mnot q)) (mnot r)) V))=> x40) as proof of ((((mor (mnot q)) (mnot r)) V)->False)
% 294.01/294.47 Found x30:False
% 294.01/294.47 Found (fun (x4:(((rel_k S) V0)->False))=> x30) as proof of False
% 294.01/294.47 Found (fun (x4:(((rel_k S) V0)->False))=> x30) as proof of ((((rel_k S) V0)->False)->False)
% 294.01/294.47 Found x30:False
% 294.01/294.47 Found (fun (x4:((mnot ((mand q) r)) V0))=> x30) as proof of False
% 294.01/294.47 Found (fun (x4:((mnot ((mand q) r)) V0))=> x30) as proof of (((mnot ((mand q) r)) V0)->False)
% 294.01/294.47 Found x30:False
% 294.01/294.47 Found (fun (x4:((mnot ((mand q) r)) V0))=> x30) as proof of False
% 294.01/294.47 Found
%------------------------------------------------------------------------------