%------------------------------------------------------------------------------ % File : cocATP---0.2.0 % Problem : SYO059^4 : TPTP v7.5.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p % Computer : n007.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 00:50:31 EDT 2022 % Result : Theorem 0.59s 0.76s % Output : Proof 0.59s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.11 % Problem : SYO059^4 : TPTP v7.5.0. Released v4.0.0. % 0.06/0.12 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.12/0.33 % Computer : n007.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % RAMPerCPU : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % DateTime : Fri Mar 11 10:48:15 EST 2022 % 0.12/0.33 % 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 % 0.40/0.62 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/'] % 0.40/0.62 Failed to open /home/cristobal/cocATP/CASC/TPTP/Axioms/LCL010^0.ax, trying next directory % 0.40/0.62 FOF formula (<kernel.Constant object at 0x2b32bf772bd8>, <kernel.DependentProduct object at 0x2b32bf7729e0>) of role type named irel_type % 0.40/0.62 Using role type % 0.40/0.62 Declaring irel:(fofType->(fofType->Prop)) % 0.40/0.62 FOF formula (forall (X:fofType), ((irel X) X)) of role axiom named refl_axiom % 0.40/0.62 A new axiom: (forall (X:fofType), ((irel X) X)) % 0.40/0.62 FOF formula (forall (X:fofType) (Y:fofType) (Z:fofType), (((and ((irel X) Y)) ((irel Y) Z))->((irel X) Z))) of role axiom named trans_axiom % 0.40/0.62 A new axiom: (forall (X:fofType) (Y:fofType) (Z:fofType), (((and ((irel X) Y)) ((irel Y) Z))->((irel X) Z))) % 0.40/0.62 FOF formula (<kernel.Constant object at 0x2b32bf772b00>, <kernel.DependentProduct object at 0x2b32bf772878>) of role type named mnot_decl_type % 0.40/0.62 Using role type % 0.40/0.62 Declaring mnot:((fofType->Prop)->(fofType->Prop)) % 0.40/0.62 FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) mnot) (fun (X:(fofType->Prop)) (U:fofType)=> ((X U)->False))) of role definition named mnot % 0.40/0.62 A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) mnot) (fun (X:(fofType->Prop)) (U:fofType)=> ((X U)->False))) % 0.40/0.62 Defined: mnot:=(fun (X:(fofType->Prop)) (U:fofType)=> ((X U)->False)) % 0.40/0.62 FOF formula (<kernel.Constant object at 0x2b32bf772a28>, <kernel.DependentProduct object at 0x2b32bf7726c8>) of role type named mor_decl_type % 0.40/0.62 Using role type % 0.40/0.62 Declaring mor:((fofType->Prop)->((fofType->Prop)->(fofType->Prop))) % 0.40/0.62 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mor) (fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (U:fofType)=> ((or (X U)) (Y U)))) of role definition named mor % 0.40/0.62 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mor) (fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (U:fofType)=> ((or (X U)) (Y U)))) % 0.40/0.62 Defined: mor:=(fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (U:fofType)=> ((or (X U)) (Y U))) % 0.40/0.62 FOF formula (<kernel.Constant object at 0x2b32bf772b00>, <kernel.DependentProduct object at 0x2b32bf772908>) of role type named mand_decl_type % 0.40/0.62 Using role type % 0.40/0.62 Declaring mand:((fofType->Prop)->((fofType->Prop)->(fofType->Prop))) % 0.40/0.62 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mand) (fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (U:fofType)=> ((and (X U)) (Y U)))) of role definition named mand % 0.40/0.62 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mand) (fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (U:fofType)=> ((and (X U)) (Y U)))) % 0.40/0.62 Defined: mand:=(fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (U:fofType)=> ((and (X U)) (Y U))) % 0.40/0.62 FOF formula (<kernel.Constant object at 0x2b32bf772a28>, <kernel.DependentProduct object at 0x2b32bf7725a8>) of role type named mimplies_decl_type % 0.40/0.62 Using role type % 0.40/0.62 Declaring mimplies:((fofType->Prop)->((fofType->Prop)->(fofType->Prop))) % 0.40/0.62 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplies) (fun (U:(fofType->Prop)) (V:(fofType->Prop))=> ((mor (mnot U)) V))) of role definition named mimplies % 0.40/0.62 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplies) (fun (U:(fofType->Prop)) (V:(fofType->Prop))=> ((mor (mnot U)) V))) % 0.40/0.62 Defined: mimplies:=(fun (U:(fofType->Prop)) (V:(fofType->Prop))=> ((mor (mnot U)) V)) % 0.40/0.62 FOF formula (<kernel.Constant object at 0x2b32bf772a28>, <kernel.DependentProduct object at 0x2b32bf772950>) of role type named mbox_s4_decl_type % 0.40/0.62 Using role type % 0.40/0.62 Declaring mbox_s4:((fofType->Prop)->(fofType->Prop)) % 0.40/0.62 FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) mbox_s4) (fun (P:(fofType->Prop)) (X:fofType)=> (forall (Y:fofType), (((irel X) Y)->(P Y))))) of role definition named mbox_s4 % 0.40/0.62 A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) mbox_s4) (fun (P:(fofType->Prop)) (X:fofType)=> (forall (Y:fofType), (((irel X) Y)->(P Y))))) % 0.40/0.62 Defined: mbox_s4:=(fun (P:(fofType->Prop)) (X:fofType)=> (forall (Y:fofType), (((irel X) Y)->(P Y)))) % 0.40/0.62 FOF formula (<kernel.Constant object at 0x2b32bf772050>, <kernel.DependentProduct object at 0x2b32bf772320>) of role type named iatom_type % 0.40/0.63 Using role type % 0.40/0.63 Declaring iatom:((fofType->Prop)->(fofType->Prop)) % 0.40/0.63 FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) iatom) (fun (P:(fofType->Prop))=> P)) of role definition named iatom % 0.40/0.63 A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) iatom) (fun (P:(fofType->Prop))=> P)) % 0.40/0.63 Defined: iatom:=(fun (P:(fofType->Prop))=> P) % 0.40/0.63 FOF formula (<kernel.Constant object at 0x2b32bf772170>, <kernel.DependentProduct object at 0x2b32bf772518>) of role type named inot_type % 0.40/0.63 Using role type % 0.40/0.63 Declaring inot:((fofType->Prop)->(fofType->Prop)) % 0.40/0.63 FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) inot) (fun (P:(fofType->Prop))=> (mnot (mbox_s4 P)))) of role definition named inot % 0.40/0.63 A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) inot) (fun (P:(fofType->Prop))=> (mnot (mbox_s4 P)))) % 0.40/0.63 Defined: inot:=(fun (P:(fofType->Prop))=> (mnot (mbox_s4 P))) % 0.40/0.63 FOF formula (<kernel.Constant object at 0x2b32bf772050>, <kernel.DependentProduct object at 0x2b32bf772248>) of role type named itrue_type % 0.40/0.63 Using role type % 0.40/0.63 Declaring itrue:(fofType->Prop) % 0.40/0.63 FOF formula (((eq (fofType->Prop)) itrue) (fun (W:fofType)=> True)) of role definition named itrue % 0.40/0.63 A new definition: (((eq (fofType->Prop)) itrue) (fun (W:fofType)=> True)) % 0.40/0.63 Defined: itrue:=(fun (W:fofType)=> True) % 0.40/0.63 FOF formula (<kernel.Constant object at 0x2b32bf772170>, <kernel.DependentProduct object at 0x2b32bf772b90>) of role type named ifalse_type % 0.40/0.63 Using role type % 0.40/0.63 Declaring ifalse:(fofType->Prop) % 0.40/0.63 FOF formula (((eq (fofType->Prop)) ifalse) (inot itrue)) of role definition named ifalse % 0.40/0.63 A new definition: (((eq (fofType->Prop)) ifalse) (inot itrue)) % 0.40/0.63 Defined: ifalse:=(inot itrue) % 0.40/0.63 FOF formula (<kernel.Constant object at 0x2b32bf772518>, <kernel.DependentProduct object at 0x2b32bf772128>) of role type named iand_type % 0.40/0.63 Using role type % 0.40/0.63 Declaring iand:((fofType->Prop)->((fofType->Prop)->(fofType->Prop))) % 0.40/0.63 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) iand) (fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> ((mand P) Q))) of role definition named iand % 0.40/0.63 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) iand) (fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> ((mand P) Q))) % 0.40/0.63 Defined: iand:=(fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> ((mand P) Q)) % 0.40/0.63 FOF formula (<kernel.Constant object at 0x2b32bf772170>, <kernel.DependentProduct object at 0x2b32c7243440>) of role type named ior_type % 0.40/0.63 Using role type % 0.40/0.63 Declaring ior:((fofType->Prop)->((fofType->Prop)->(fofType->Prop))) % 0.40/0.63 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) ior) (fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> ((mor (mbox_s4 P)) (mbox_s4 Q)))) of role definition named ior % 0.40/0.63 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) ior) (fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> ((mor (mbox_s4 P)) (mbox_s4 Q)))) % 0.40/0.63 Defined: ior:=(fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> ((mor (mbox_s4 P)) (mbox_s4 Q))) % 0.40/0.63 FOF formula (<kernel.Constant object at 0x2b32bf772128>, <kernel.DependentProduct object at 0x2b32c7243518>) of role type named iimplies_type % 0.40/0.63 Using role type % 0.40/0.63 Declaring iimplies:((fofType->Prop)->((fofType->Prop)->(fofType->Prop))) % 0.40/0.63 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) iimplies) (fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> ((mimplies (mbox_s4 P)) (mbox_s4 Q)))) of role definition named iimplies % 0.40/0.63 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) iimplies) (fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> ((mimplies (mbox_s4 P)) (mbox_s4 Q)))) % 0.40/0.63 Defined: iimplies:=(fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> ((mimplies (mbox_s4 P)) (mbox_s4 Q))) % 0.40/0.63 FOF formula (<kernel.Constant object at 0x2b32c7243440>, <kernel.DependentProduct object at 0x2b32c7243cb0>) of role type named iimplied_type % 0.40/0.63 Using role type % 0.40/0.63 Declaring iimplied:((fofType->Prop)->((fofType->Prop)->(fofType->Prop))) % 0.40/0.63 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) iimplied) (fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> ((iimplies Q) P))) of role definition named iimplied % 0.40/0.63 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) iimplied) (fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> ((iimplies Q) P))) % 0.40/0.63 Defined: iimplied:=(fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> ((iimplies Q) P)) % 0.40/0.63 FOF formula (<kernel.Constant object at 0x2b32c7243cb0>, <kernel.DependentProduct object at 0x1765170>) of role type named iequiv_type % 0.40/0.63 Using role type % 0.40/0.63 Declaring iequiv:((fofType->Prop)->((fofType->Prop)->(fofType->Prop))) % 0.40/0.63 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) iequiv) (fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> ((iand ((iimplies P) Q)) ((iimplies Q) P)))) of role definition named iequiv % 0.40/0.63 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) iequiv) (fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> ((iand ((iimplies P) Q)) ((iimplies Q) P)))) % 0.40/0.63 Defined: iequiv:=(fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> ((iand ((iimplies P) Q)) ((iimplies Q) P))) % 0.40/0.63 FOF formula (<kernel.Constant object at 0x1765170>, <kernel.DependentProduct object at 0x1765200>) of role type named ixor_type % 0.40/0.63 Using role type % 0.40/0.63 Declaring ixor:((fofType->Prop)->((fofType->Prop)->(fofType->Prop))) % 0.40/0.63 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) ixor) (fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> (inot ((iequiv P) Q)))) of role definition named ixor % 0.40/0.63 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) ixor) (fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> (inot ((iequiv P) Q)))) % 0.40/0.63 Defined: ixor:=(fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> (inot ((iequiv P) Q))) % 0.40/0.63 FOF formula (<kernel.Constant object at 0x1765290>, <kernel.DependentProduct object at 0x17650e0>) of role type named ivalid_type % 0.40/0.63 Using role type % 0.40/0.63 Declaring ivalid:((fofType->Prop)->Prop) % 0.40/0.63 FOF formula (((eq ((fofType->Prop)->Prop)) ivalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W)))) of role definition named ivalid % 0.40/0.63 A new definition: (((eq ((fofType->Prop)->Prop)) ivalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W)))) % 0.40/0.63 Defined: ivalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W))) % 0.40/0.63 FOF formula (<kernel.Constant object at 0x1765170>, <kernel.DependentProduct object at 0x2b32bf770128>) of role type named isatisfiable_type % 0.40/0.63 Using role type % 0.40/0.63 Declaring isatisfiable:((fofType->Prop)->Prop) % 0.40/0.63 FOF formula (((eq ((fofType->Prop)->Prop)) isatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W))))) of role definition named isatisfiable % 0.40/0.63 A new definition: (((eq ((fofType->Prop)->Prop)) isatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W))))) % 0.40/0.63 Defined: isatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W)))) % 0.40/0.63 FOF formula (<kernel.Constant object at 0x17654d0>, <kernel.DependentProduct object at 0x2b32bf770128>) of role type named icountersatisfiable_type % 0.40/0.63 Using role type % 0.40/0.63 Declaring icountersatisfiable:((fofType->Prop)->Prop) % 0.40/0.63 FOF formula (((eq ((fofType->Prop)->Prop)) icountersatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False))))) of role definition named icountersatisfiable % 0.40/0.63 A new definition: (((eq ((fofType->Prop)->Prop)) icountersatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False))))) % 0.40/0.63 Defined: icountersatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False)))) % 0.40/0.63 FOF formula (<kernel.Constant object at 0x2b32bf770320>, <kernel.DependentProduct object at 0x2b32bf7703f8>) of role type named iinvalid_type % 0.40/0.63 Using role type % 0.40/0.63 Declaring iinvalid:((fofType->Prop)->Prop) % 0.40/0.63 FOF formula (((eq ((fofType->Prop)->Prop)) iinvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False)))) of role definition named iinvalid % 0.40/0.63 A new definition: (((eq ((fofType->Prop)->Prop)) iinvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False)))) % 0.40/0.63 Defined: iinvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False))) % 0.40/0.63 FOF formula (<kernel.Constant object at 0x1762518>, <kernel.DependentProduct object at 0x17625a8>) of role type named a_type % 0.40/0.63 Using role type % 0.59/0.75 Declaring a:(fofType->Prop) % 0.59/0.75 FOF formula (ivalid (iatom a)) of role axiom named axiom1 % 0.59/0.75 A new axiom: (ivalid (iatom a)) % 0.59/0.75 FOF formula (ivalid (inot (inot (iatom a)))) of role conjecture named con % 0.59/0.75 Conjecture to prove = (ivalid (inot (inot (iatom a)))):Prop % 0.59/0.75 Parameter fofType_DUMMY:fofType. % 0.59/0.75 We need to prove ['(ivalid (inot (inot (iatom a))))'] % 0.59/0.75 Parameter fofType:Type. % 0.59/0.75 Parameter irel:(fofType->(fofType->Prop)). % 0.59/0.75 Axiom refl_axiom:(forall (X:fofType), ((irel X) X)). % 0.59/0.75 Axiom trans_axiom:(forall (X:fofType) (Y:fofType) (Z:fofType), (((and ((irel X) Y)) ((irel Y) Z))->((irel X) Z))). % 0.59/0.75 Definition mnot:=(fun (X:(fofType->Prop)) (U:fofType)=> ((X U)->False)):((fofType->Prop)->(fofType->Prop)). % 0.59/0.75 Definition mor:=(fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (U:fofType)=> ((or (X U)) (Y U))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))). % 0.59/0.75 Definition mand:=(fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (U:fofType)=> ((and (X U)) (Y U))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))). % 0.59/0.75 Definition mimplies:=(fun (U:(fofType->Prop)) (V:(fofType->Prop))=> ((mor (mnot U)) V)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))). % 0.59/0.75 Definition mbox_s4:=(fun (P:(fofType->Prop)) (X:fofType)=> (forall (Y:fofType), (((irel X) Y)->(P Y)))):((fofType->Prop)->(fofType->Prop)). % 0.59/0.75 Definition iatom:=(fun (P:(fofType->Prop))=> P):((fofType->Prop)->(fofType->Prop)). % 0.59/0.75 Definition inot:=(fun (P:(fofType->Prop))=> (mnot (mbox_s4 P))):((fofType->Prop)->(fofType->Prop)). % 0.59/0.75 Definition itrue:=(fun (W:fofType)=> True):(fofType->Prop). % 0.59/0.75 Definition ifalse:=(inot itrue):(fofType->Prop). % 0.59/0.75 Definition iand:=(fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> ((mand P) Q)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))). % 0.59/0.75 Definition ior:=(fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> ((mor (mbox_s4 P)) (mbox_s4 Q))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))). % 0.59/0.75 Definition iimplies:=(fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> ((mimplies (mbox_s4 P)) (mbox_s4 Q))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))). % 0.59/0.75 Definition iimplied:=(fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> ((iimplies Q) P)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))). % 0.59/0.75 Definition iequiv:=(fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> ((iand ((iimplies P) Q)) ((iimplies Q) P))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))). % 0.59/0.75 Definition ixor:=(fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> (inot ((iequiv P) Q))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))). % 0.59/0.75 Definition ivalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W))):((fofType->Prop)->Prop). % 0.59/0.75 Definition isatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W)))):((fofType->Prop)->Prop). % 0.59/0.75 Definition icountersatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False)))):((fofType->Prop)->Prop). % 0.59/0.75 Definition iinvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False))):((fofType->Prop)->Prop). % 0.59/0.75 Parameter a:(fofType->Prop). % 0.59/0.75 Axiom axiom1:(ivalid (iatom a)). % 0.59/0.75 Trying to prove (ivalid (inot (inot (iatom a)))) % 0.59/0.75 Found refl_axiom0:=(refl_axiom W):((irel W) W) % 0.59/0.75 Found (refl_axiom W) as proof of ((irel W) Y) % 0.59/0.75 Found (refl_axiom W) as proof of ((irel W) Y) % 0.59/0.75 Found (refl_axiom W) as proof of ((irel W) Y) % 0.59/0.75 Found axiom10:=(axiom1 Y0):((iatom a) Y0) % 0.59/0.75 Found (axiom1 Y0) as proof of ((iatom a) Y0) % 0.59/0.75 Found (fun (x1:((irel Y) Y0))=> (axiom1 Y0)) as proof of ((iatom a) Y0) % 0.59/0.75 Found (fun (Y0:fofType) (x1:((irel Y) Y0))=> (axiom1 Y0)) as proof of (((irel Y) Y0)->((iatom a) Y0)) % 0.59/0.75 Found (fun (Y0:fofType) (x1:((irel Y) Y0))=> (axiom1 Y0)) as proof of ((mbox_s4 (iatom a)) Y) % 0.59/0.75 Found ((x0 (refl_axiom W)) (fun (Y0:fofType) (x1:((irel Y) Y0))=> (axiom1 Y0))) as proof of False % 0.59/0.75 Found (((x W) (refl_axiom W)) (fun (Y0:fofType) (x1:((irel W) Y0))=> (axiom1 Y0))) as proof of False % 0.59/0.75 Found (fun (x:((mbox_s4 (inot (iatom a))) W))=> (((x W) (refl_axiom W)) (fun (Y0:fofType) (x1:((irel W) Y0))=> (axiom1 Y0)))) as proof of False % 0.59/0.75 Found (fun (W:fofType) (x:((mbox_s4 (inot (iatom a))) W))=> (((x W) (refl_axiom W)) (fun (Y0:fofType) (x1:((irel W) Y0))=> (axiom1 Y0)))) as proof of ((inot (inot (iatom a))) W) % 0.59/0.76 Found (fun (W:fofType) (x:((mbox_s4 (inot (iatom a))) W))=> (((x W) (refl_axiom W)) (fun (Y0:fofType) (x1:((irel W) Y0))=> (axiom1 Y0)))) as proof of (ivalid (inot (inot (iatom a)))) % 0.59/0.76 Got proof (fun (W:fofType) (x:((mbox_s4 (inot (iatom a))) W))=> (((x W) (refl_axiom W)) (fun (Y0:fofType) (x1:((irel W) Y0))=> (axiom1 Y0)))) % 0.59/0.76 Time elapsed = 0.110662s % 0.59/0.76 node=27 cost=54.000000 depth=8 % 0.59/0.76 :::::::::::::::::::::: % 0.59/0.76 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.59/0.76 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.59/0.76 (fun (W:fofType) (x:((mbox_s4 (inot (iatom a))) W))=> (((x W) (refl_axiom W)) (fun (Y0:fofType) (x1:((irel W) Y0))=> (axiom1 Y0)))) % 0.59/0.76 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p %------------------------------------------------------------------------------