TSTP Solution File: SYO073^4.003 by cocATP---0.2.0
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%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : SYO073^4.003 : TPTP v7.5.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n026.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 00:50:36 EDT 2022
% Result : Unknown 0.55s 0.71s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SYO073^4.003 : TPTP v7.5.0. Released v4.0.0.
% 0.10/0.12 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n026.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 14:18:20 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
% 0.46/0.62 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/']
% 0.46/0.62 Failed to open /home/cristobal/cocATP/CASC/TPTP/Axioms/LCL010^0.ax, trying next directory
% 0.46/0.62 FOF formula (<kernel.Constant object at 0x2b0ce32a02d8>, <kernel.DependentProduct object at 0x1735098>) of role type named irel_type
% 0.46/0.62 Using role type
% 0.46/0.62 Declaring irel:(fofType->(fofType->Prop))
% 0.46/0.62 FOF formula (forall (X:fofType), ((irel X) X)) of role axiom named refl_axiom
% 0.46/0.62 A new axiom: (forall (X:fofType), ((irel X) X))
% 0.46/0.62 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
% 0.46/0.62 A new axiom: (forall (X:fofType) (Y:fofType) (Z:fofType), (((and ((irel X) Y)) ((irel Y) Z))->((irel X) Z)))
% 0.46/0.62 FOF formula (<kernel.Constant object at 0x17354d0>, <kernel.DependentProduct object at 0x17357a0>) of role type named mnot_decl_type
% 0.46/0.62 Using role type
% 0.46/0.62 Declaring mnot:((fofType->Prop)->(fofType->Prop))
% 0.46/0.62 FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) mnot) (fun (X:(fofType->Prop)) (U:fofType)=> ((X U)->False))) of role definition named mnot
% 0.46/0.62 A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) mnot) (fun (X:(fofType->Prop)) (U:fofType)=> ((X U)->False)))
% 0.46/0.62 Defined: mnot:=(fun (X:(fofType->Prop)) (U:fofType)=> ((X U)->False))
% 0.46/0.62 FOF formula (<kernel.Constant object at 0x1735e18>, <kernel.DependentProduct object at 0x1735d40>) of role type named mor_decl_type
% 0.46/0.62 Using role type
% 0.46/0.62 Declaring mor:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.46/0.62 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
% 0.46/0.62 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))))
% 0.46/0.62 Defined: mor:=(fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (U:fofType)=> ((or (X U)) (Y U)))
% 0.46/0.62 FOF formula (<kernel.Constant object at 0x17354d0>, <kernel.DependentProduct object at 0x1735050>) of role type named mand_decl_type
% 0.46/0.62 Using role type
% 0.46/0.62 Declaring mand:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.46/0.62 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
% 0.46/0.62 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))))
% 0.46/0.62 Defined: mand:=(fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (U:fofType)=> ((and (X U)) (Y U)))
% 0.46/0.62 FOF formula (<kernel.Constant object at 0x1735e18>, <kernel.DependentProduct object at 0x1735f80>) of role type named mimplies_decl_type
% 0.46/0.62 Using role type
% 0.46/0.62 Declaring mimplies:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.46/0.62 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
% 0.46/0.62 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplies) (fun (U:(fofType->Prop)) (V:(fofType->Prop))=> ((mor (mnot U)) V)))
% 0.46/0.63 Defined: mimplies:=(fun (U:(fofType->Prop)) (V:(fofType->Prop))=> ((mor (mnot U)) V))
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x1735e18>, <kernel.DependentProduct object at 0x17350e0>) of role type named mbox_s4_decl_type
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring mbox_s4:((fofType->Prop)->(fofType->Prop))
% 0.46/0.63 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
% 0.46/0.63 A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) mbox_s4) (fun (P:(fofType->Prop)) (X:fofType)=> (forall (Y:fofType), (((irel X) Y)->(P Y)))))
% 0.46/0.63 Defined: mbox_s4:=(fun (P:(fofType->Prop)) (X:fofType)=> (forall (Y:fofType), (((irel X) Y)->(P Y))))
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x1735680>, <kernel.DependentProduct object at 0x1731200>) of role type named iatom_type
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring iatom:((fofType->Prop)->(fofType->Prop))
% 0.47/0.63 FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) iatom) (fun (P:(fofType->Prop))=> P)) of role definition named iatom
% 0.47/0.63 A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) iatom) (fun (P:(fofType->Prop))=> P))
% 0.47/0.63 Defined: iatom:=(fun (P:(fofType->Prop))=> P)
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x17353b0>, <kernel.DependentProduct object at 0x1731710>) of role type named inot_type
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring inot:((fofType->Prop)->(fofType->Prop))
% 0.47/0.63 FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) inot) (fun (P:(fofType->Prop))=> (mnot (mbox_s4 P)))) of role definition named inot
% 0.47/0.63 A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) inot) (fun (P:(fofType->Prop))=> (mnot (mbox_s4 P))))
% 0.47/0.63 Defined: inot:=(fun (P:(fofType->Prop))=> (mnot (mbox_s4 P)))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x1731200>, <kernel.DependentProduct object at 0x1731cb0>) of role type named itrue_type
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring itrue:(fofType->Prop)
% 0.47/0.63 FOF formula (((eq (fofType->Prop)) itrue) (fun (W:fofType)=> True)) of role definition named itrue
% 0.47/0.63 A new definition: (((eq (fofType->Prop)) itrue) (fun (W:fofType)=> True))
% 0.47/0.63 Defined: itrue:=(fun (W:fofType)=> True)
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x1731cb0>, <kernel.DependentProduct object at 0x17310e0>) of role type named ifalse_type
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring ifalse:(fofType->Prop)
% 0.47/0.63 FOF formula (((eq (fofType->Prop)) ifalse) (inot itrue)) of role definition named ifalse
% 0.47/0.63 A new definition: (((eq (fofType->Prop)) ifalse) (inot itrue))
% 0.47/0.63 Defined: ifalse:=(inot itrue)
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x1731710>, <kernel.DependentProduct object at 0x1731440>) of role type named iand_type
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring iand:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.47/0.63 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
% 0.47/0.63 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) iand) (fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> ((mand P) Q)))
% 0.47/0.63 Defined: iand:=(fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> ((mand P) Q))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x1731cb0>, <kernel.DependentProduct object at 0x1731878>) of role type named ior_type
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring ior:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.47/0.63 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
% 0.47/0.63 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))))
% 0.47/0.63 Defined: ior:=(fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> ((mor (mbox_s4 P)) (mbox_s4 Q)))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x1731cb0>, <kernel.DependentProduct object at 0x1731ea8>) of role type named iimplies_type
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring iimplies:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.47/0.63 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
% 0.47/0.63 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))))
% 0.47/0.63 Defined: iimplies:=(fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> ((mimplies (mbox_s4 P)) (mbox_s4 Q)))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x1731170>, <kernel.DependentProduct object at 0x1731c20>) of role type named iimplied_type
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring iimplied:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.47/0.63 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
% 0.47/0.63 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) iimplied) (fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> ((iimplies Q) P)))
% 0.47/0.64 Defined: iimplied:=(fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> ((iimplies Q) P))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x1731170>, <kernel.DependentProduct object at 0x1731290>) of role type named iequiv_type
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring iequiv:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.47/0.64 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
% 0.47/0.64 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))))
% 0.47/0.64 Defined: iequiv:=(fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> ((iand ((iimplies P) Q)) ((iimplies Q) P)))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x1731ef0>, <kernel.DependentProduct object at 0x1731560>) of role type named ixor_type
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring ixor:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.47/0.64 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
% 0.47/0.64 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) ixor) (fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> (inot ((iequiv P) Q))))
% 0.47/0.64 Defined: ixor:=(fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> (inot ((iequiv P) Q)))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x1731170>, <kernel.DependentProduct object at 0x1731a70>) of role type named ivalid_type
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring ivalid:((fofType->Prop)->Prop)
% 0.47/0.64 FOF formula (((eq ((fofType->Prop)->Prop)) ivalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W)))) of role definition named ivalid
% 0.47/0.64 A new definition: (((eq ((fofType->Prop)->Prop)) ivalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W))))
% 0.47/0.64 Defined: ivalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W)))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x1731ef0>, <kernel.DependentProduct object at 0x2b0cdb7e81b8>) of role type named isatisfiable_type
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring isatisfiable:((fofType->Prop)->Prop)
% 0.47/0.64 FOF formula (((eq ((fofType->Prop)->Prop)) isatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W))))) of role definition named isatisfiable
% 0.47/0.64 A new definition: (((eq ((fofType->Prop)->Prop)) isatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W)))))
% 0.47/0.64 Defined: isatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W))))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x17318c0>, <kernel.DependentProduct object at 0x2b0cdb7e81b8>) of role type named icountersatisfiable_type
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring icountersatisfiable:((fofType->Prop)->Prop)
% 0.47/0.64 FOF formula (((eq ((fofType->Prop)->Prop)) icountersatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False))))) of role definition named icountersatisfiable
% 0.47/0.64 A new definition: (((eq ((fofType->Prop)->Prop)) icountersatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False)))))
% 0.47/0.64 Defined: icountersatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False))))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2b0cdb7e8200>, <kernel.DependentProduct object at 0x2b0cdb7e8440>) of role type named iinvalid_type
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring iinvalid:((fofType->Prop)->Prop)
% 0.47/0.64 FOF formula (((eq ((fofType->Prop)->Prop)) iinvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False)))) of role definition named iinvalid
% 0.47/0.64 A new definition: (((eq ((fofType->Prop)->Prop)) iinvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False))))
% 0.47/0.64 Defined: iinvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False)))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2b0ce32b8c68>, <kernel.DependentProduct object at 0x2b0ce32b8050>) of role type named f_type
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring f:(fofType->Prop)
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2b0ce32b8f80>, <kernel.DependentProduct object at 0x2b0ce32b8ab8>) of role type named p1_type
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring p1:(fofType->Prop)
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x2b0ce32b8050>, <kernel.DependentProduct object at 0x2b0ce32bbd88>) of role type named p2_type
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring p2:(fofType->Prop)
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x2b0ce32b8ab8>, <kernel.DependentProduct object at 0x2b0ce32bbb48>) of role type named p3_type
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring p3:(fofType->Prop)
% 0.47/0.65 FOF formula (ivalid ((iimplies ((ior ((iand (iatom p1)) ((iand (iatom p2)) (iatom p3)))) ((ior ((iimplies (inot (inot (iatom p1)))) (iatom f))) ((ior ((iimplies (iatom p2)) (iatom f))) ((iimplies (iatom p3)) (iatom f)))))) (iatom f))) of role axiom named axiom1
% 0.47/0.65 A new axiom: (ivalid ((iimplies ((ior ((iand (iatom p1)) ((iand (iatom p2)) (iatom p3)))) ((ior ((iimplies (inot (inot (iatom p1)))) (iatom f))) ((ior ((iimplies (iatom p2)) (iatom f))) ((iimplies (iatom p3)) (iatom f)))))) (iatom f)))
% 0.47/0.65 FOF formula (ivalid (iatom f)) of role conjecture named con
% 0.47/0.65 Conjecture to prove = (ivalid (iatom f)):Prop
% 0.47/0.65 Parameter fofType_DUMMY:fofType.
% 0.47/0.65 We need to prove ['(ivalid (iatom f))']
% 0.47/0.65 Parameter fofType:Type.
% 0.47/0.65 Parameter irel:(fofType->(fofType->Prop)).
% 0.47/0.65 Axiom refl_axiom:(forall (X:fofType), ((irel X) X)).
% 0.47/0.65 Axiom trans_axiom:(forall (X:fofType) (Y:fofType) (Z:fofType), (((and ((irel X) Y)) ((irel Y) Z))->((irel X) Z))).
% 0.47/0.65 Definition mnot:=(fun (X:(fofType->Prop)) (U:fofType)=> ((X U)->False)):((fofType->Prop)->(fofType->Prop)).
% 0.47/0.65 Definition mor:=(fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (U:fofType)=> ((or (X U)) (Y U))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.47/0.65 Definition mand:=(fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (U:fofType)=> ((and (X U)) (Y U))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.47/0.65 Definition mimplies:=(fun (U:(fofType->Prop)) (V:(fofType->Prop))=> ((mor (mnot U)) V)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.47/0.65 Definition mbox_s4:=(fun (P:(fofType->Prop)) (X:fofType)=> (forall (Y:fofType), (((irel X) Y)->(P Y)))):((fofType->Prop)->(fofType->Prop)).
% 0.47/0.65 Definition iatom:=(fun (P:(fofType->Prop))=> P):((fofType->Prop)->(fofType->Prop)).
% 0.47/0.65 Definition inot:=(fun (P:(fofType->Prop))=> (mnot (mbox_s4 P))):((fofType->Prop)->(fofType->Prop)).
% 0.47/0.65 Definition itrue:=(fun (W:fofType)=> True):(fofType->Prop).
% 0.47/0.65 Definition ifalse:=(inot itrue):(fofType->Prop).
% 0.47/0.65 Definition iand:=(fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> ((mand P) Q)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.47/0.65 Definition ior:=(fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> ((mor (mbox_s4 P)) (mbox_s4 Q))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.47/0.65 Definition iimplies:=(fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> ((mimplies (mbox_s4 P)) (mbox_s4 Q))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.47/0.65 Definition iimplied:=(fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> ((iimplies Q) P)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.47/0.65 Definition iequiv:=(fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> ((iand ((iimplies P) Q)) ((iimplies Q) P))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.47/0.65 Definition ixor:=(fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> (inot ((iequiv P) Q))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.47/0.65 Definition ivalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W))):((fofType->Prop)->Prop).
% 0.47/0.65 Definition isatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W)))):((fofType->Prop)->Prop).
% 0.47/0.65 Definition icountersatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False)))):((fofType->Prop)->Prop).
% 0.47/0.65 Definition iinvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False))):((fofType->Prop)->Prop).
% 0.47/0.65 Parameter f:(fofType->Prop).
% 0.47/0.65 Parameter p1:(fofType->Prop).
% 0.47/0.65 Parameter p2:(fofType->Prop).
% 0.47/0.65 Parameter p3:(fofType->Prop).
% 0.47/0.65 Axiom axiom1:(ivalid ((iimplies ((ior ((iand (iatom p1)) ((iand (iatom p2)) (iatom p3)))) ((ior ((iimplies (inot (inot (iatom p1)))) (iatom f))) ((ior ((iimplies (iatom p2)) (iatom f))) ((iimplies (iatom p3)) (iatom f)))))) (iatom f))).
% 0.47/0.65 Trying to prove (ivalid (iatom f))
% 0.55/0.71 % SZS status GaveUp for /export/starexec/sandbox2/benchmark/theBenchmark.p
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