TSTP Solution File: SYO069^4.002 by cocATP---0.2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : SYO069^4.002 : TPTP v7.5.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n032.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 00:50:34 EDT 2022
% Result : Unknown 5.42s 5.59s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : SYO069^4.002 : TPTP v7.5.0. Released v4.0.0.
% 0.09/0.10 % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.30 % Computer : n032.cluster.edu
% 0.11/0.30 % Model : x86_64 x86_64
% 0.11/0.30 % CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30 % RAMPerCPU : 8042.1875MB
% 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30 % CPULimit : 300
% 0.11/0.30 % DateTime : Fri Mar 11 13:25:17 EST 2022
% 0.11/0.30 % CPUTime :
% 0.11/0.30 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.11/0.31 Python 2.7.5
% 0.16/0.53 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/']
% 0.16/0.53 Failed to open /home/cristobal/cocATP/CASC/TPTP/Axioms/LCL010^0.ax, trying next directory
% 0.16/0.53 FOF formula (<kernel.Constant object at 0x17b5128>, <kernel.DependentProduct object at 0x17b54d0>) of role type named irel_type
% 0.16/0.53 Using role type
% 0.16/0.53 Declaring irel:(fofType->(fofType->Prop))
% 0.16/0.53 FOF formula (forall (X:fofType), ((irel X) X)) of role axiom named refl_axiom
% 0.16/0.53 A new axiom: (forall (X:fofType), ((irel X) X))
% 0.16/0.53 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
% 0.16/0.53 A new axiom: (forall (X:fofType) (Y:fofType) (Z:fofType), (((and ((irel X) Y)) ((irel Y) Z))->((irel X) Z)))
% 0.16/0.53 FOF formula (<kernel.Constant object at 0x17b5950>, <kernel.DependentProduct object at 0x17b56c8>) of role type named mnot_decl_type
% 0.16/0.53 Using role type
% 0.16/0.53 Declaring mnot:((fofType->Prop)->(fofType->Prop))
% 0.16/0.53 FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) mnot) (fun (X:(fofType->Prop)) (U:fofType)=> ((X U)->False))) of role definition named mnot
% 0.16/0.53 A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) mnot) (fun (X:(fofType->Prop)) (U:fofType)=> ((X U)->False)))
% 0.16/0.53 Defined: mnot:=(fun (X:(fofType->Prop)) (U:fofType)=> ((X U)->False))
% 0.16/0.53 FOF formula (<kernel.Constant object at 0x17b5368>, <kernel.DependentProduct object at 0x17b5f38>) of role type named mor_decl_type
% 0.16/0.53 Using role type
% 0.16/0.53 Declaring mor:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.16/0.53 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
% 0.16/0.53 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))))
% 0.16/0.53 Defined: mor:=(fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (U:fofType)=> ((or (X U)) (Y U)))
% 0.16/0.53 FOF formula (<kernel.Constant object at 0x17b5950>, <kernel.DependentProduct object at 0x17b5248>) of role type named mand_decl_type
% 0.16/0.53 Using role type
% 0.16/0.53 Declaring mand:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.16/0.53 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
% 0.16/0.53 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))))
% 0.16/0.53 Defined: mand:=(fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (U:fofType)=> ((and (X U)) (Y U)))
% 0.16/0.53 FOF formula (<kernel.Constant object at 0x17b5368>, <kernel.DependentProduct object at 0x17b59e0>) of role type named mimplies_decl_type
% 0.16/0.53 Using role type
% 0.16/0.53 Declaring mimplies:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.16/0.53 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
% 0.16/0.53 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplies) (fun (U:(fofType->Prop)) (V:(fofType->Prop))=> ((mor (mnot U)) V)))
% 0.16/0.54 Defined: mimplies:=(fun (U:(fofType->Prop)) (V:(fofType->Prop))=> ((mor (mnot U)) V))
% 0.16/0.54 FOF formula (<kernel.Constant object at 0x17b5368>, <kernel.DependentProduct object at 0x17b5e60>) of role type named mbox_s4_decl_type
% 0.16/0.54 Using role type
% 0.16/0.54 Declaring mbox_s4:((fofType->Prop)->(fofType->Prop))
% 0.16/0.54 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
% 0.16/0.54 A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) mbox_s4) (fun (P:(fofType->Prop)) (X:fofType)=> (forall (Y:fofType), (((irel X) Y)->(P Y)))))
% 0.16/0.54 Defined: mbox_s4:=(fun (P:(fofType->Prop)) (X:fofType)=> (forall (Y:fofType), (((irel X) Y)->(P Y))))
% 0.16/0.54 FOF formula (<kernel.Constant object at 0x17b5950>, <kernel.DependentProduct object at 0x2b052bec23b0>) of role type named iatom_type
% 0.16/0.54 Using role type
% 0.16/0.54 Declaring iatom:((fofType->Prop)->(fofType->Prop))
% 0.16/0.54 FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) iatom) (fun (P:(fofType->Prop))=> P)) of role definition named iatom
% 0.16/0.54 A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) iatom) (fun (P:(fofType->Prop))=> P))
% 0.16/0.54 Defined: iatom:=(fun (P:(fofType->Prop))=> P)
% 0.16/0.54 FOF formula (<kernel.Constant object at 0x17b5200>, <kernel.DependentProduct object at 0x2b052bec2cf8>) of role type named inot_type
% 0.16/0.54 Using role type
% 0.16/0.54 Declaring inot:((fofType->Prop)->(fofType->Prop))
% 0.16/0.54 FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) inot) (fun (P:(fofType->Prop))=> (mnot (mbox_s4 P)))) of role definition named inot
% 0.16/0.54 A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) inot) (fun (P:(fofType->Prop))=> (mnot (mbox_s4 P))))
% 0.16/0.54 Defined: inot:=(fun (P:(fofType->Prop))=> (mnot (mbox_s4 P)))
% 0.16/0.54 FOF formula (<kernel.Constant object at 0x2b052bec2638>, <kernel.DependentProduct object at 0x2b052bec2f38>) of role type named itrue_type
% 0.16/0.54 Using role type
% 0.16/0.54 Declaring itrue:(fofType->Prop)
% 0.16/0.54 FOF formula (((eq (fofType->Prop)) itrue) (fun (W:fofType)=> True)) of role definition named itrue
% 0.16/0.54 A new definition: (((eq (fofType->Prop)) itrue) (fun (W:fofType)=> True))
% 0.16/0.54 Defined: itrue:=(fun (W:fofType)=> True)
% 0.16/0.54 FOF formula (<kernel.Constant object at 0x2b052bec2f38>, <kernel.DependentProduct object at 0x2b052bec25f0>) of role type named ifalse_type
% 0.16/0.54 Using role type
% 0.16/0.54 Declaring ifalse:(fofType->Prop)
% 0.16/0.54 FOF formula (((eq (fofType->Prop)) ifalse) (inot itrue)) of role definition named ifalse
% 0.16/0.54 A new definition: (((eq (fofType->Prop)) ifalse) (inot itrue))
% 0.16/0.54 Defined: ifalse:=(inot itrue)
% 0.16/0.54 FOF formula (<kernel.Constant object at 0x2b052bec2cf8>, <kernel.DependentProduct object at 0x2b052bec2290>) of role type named iand_type
% 0.16/0.54 Using role type
% 0.16/0.54 Declaring iand:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.16/0.54 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
% 0.16/0.54 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) iand) (fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> ((mand P) Q)))
% 0.16/0.54 Defined: iand:=(fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> ((mand P) Q))
% 0.16/0.54 FOF formula (<kernel.Constant object at 0x2b052bec2f38>, <kernel.DependentProduct object at 0x2b052bec23f8>) of role type named ior_type
% 0.16/0.54 Using role type
% 0.16/0.54 Declaring ior:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.16/0.54 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
% 0.16/0.54 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))))
% 0.16/0.54 Defined: ior:=(fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> ((mor (mbox_s4 P)) (mbox_s4 Q)))
% 0.16/0.54 FOF formula (<kernel.Constant object at 0x2b052bec23f8>, <kernel.DependentProduct object at 0x17ba950>) of role type named iimplies_type
% 0.16/0.54 Using role type
% 0.16/0.54 Declaring iimplies:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.16/0.54 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
% 0.16/0.54 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))))
% 0.16/0.54 Defined: iimplies:=(fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> ((mimplies (mbox_s4 P)) (mbox_s4 Q)))
% 0.16/0.54 FOF formula (<kernel.Constant object at 0x17ba950>, <kernel.DependentProduct object at 0x17ba6c8>) of role type named iimplied_type
% 0.16/0.54 Using role type
% 0.16/0.54 Declaring iimplied:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.16/0.54 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
% 0.16/0.54 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) iimplied) (fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> ((iimplies Q) P)))
% 0.16/0.55 Defined: iimplied:=(fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> ((iimplies Q) P))
% 0.16/0.55 FOF formula (<kernel.Constant object at 0x17ba950>, <kernel.DependentProduct object at 0x17baa28>) of role type named iequiv_type
% 0.16/0.55 Using role type
% 0.16/0.55 Declaring iequiv:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.16/0.55 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
% 0.16/0.55 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))))
% 0.16/0.55 Defined: iequiv:=(fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> ((iand ((iimplies P) Q)) ((iimplies Q) P)))
% 0.16/0.55 FOF formula (<kernel.Constant object at 0x17ba3b0>, <kernel.DependentProduct object at 0x17bad88>) of role type named ixor_type
% 0.16/0.55 Using role type
% 0.16/0.55 Declaring ixor:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.16/0.55 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
% 0.16/0.55 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) ixor) (fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> (inot ((iequiv P) Q))))
% 0.16/0.55 Defined: ixor:=(fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> (inot ((iequiv P) Q)))
% 0.16/0.55 FOF formula (<kernel.Constant object at 0x17ba950>, <kernel.DependentProduct object at 0x192f170>) of role type named ivalid_type
% 0.16/0.55 Using role type
% 0.16/0.55 Declaring ivalid:((fofType->Prop)->Prop)
% 0.16/0.55 FOF formula (((eq ((fofType->Prop)->Prop)) ivalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W)))) of role definition named ivalid
% 0.16/0.55 A new definition: (((eq ((fofType->Prop)->Prop)) ivalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W))))
% 0.16/0.55 Defined: ivalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W)))
% 0.16/0.55 FOF formula (<kernel.Constant object at 0x17baea8>, <kernel.DependentProduct object at 0x192f128>) of role type named isatisfiable_type
% 0.16/0.55 Using role type
% 0.16/0.55 Declaring isatisfiable:((fofType->Prop)->Prop)
% 0.16/0.55 FOF formula (((eq ((fofType->Prop)->Prop)) isatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W))))) of role definition named isatisfiable
% 0.16/0.55 A new definition: (((eq ((fofType->Prop)->Prop)) isatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W)))))
% 0.16/0.55 Defined: isatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W))))
% 0.16/0.55 FOF formula (<kernel.Constant object at 0x192f128>, <kernel.DependentProduct object at 0x192f2d8>) of role type named icountersatisfiable_type
% 0.16/0.55 Using role type
% 0.16/0.55 Declaring icountersatisfiable:((fofType->Prop)->Prop)
% 0.16/0.55 FOF formula (((eq ((fofType->Prop)->Prop)) icountersatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False))))) of role definition named icountersatisfiable
% 0.16/0.55 A new definition: (((eq ((fofType->Prop)->Prop)) icountersatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False)))))
% 0.16/0.55 Defined: icountersatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False))))
% 0.16/0.55 FOF formula (<kernel.Constant object at 0x192f050>, <kernel.DependentProduct object at 0x192f518>) of role type named iinvalid_type
% 0.16/0.55 Using role type
% 0.16/0.55 Declaring iinvalid:((fofType->Prop)->Prop)
% 0.16/0.55 FOF formula (((eq ((fofType->Prop)->Prop)) iinvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False)))) of role definition named iinvalid
% 0.16/0.55 A new definition: (((eq ((fofType->Prop)->Prop)) iinvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False))))
% 0.16/0.55 Defined: iinvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False)))
% 0.16/0.55 FOF formula (<kernel.Constant object at 0x1795ab8>, <kernel.DependentProduct object at 0x17959e0>) of role type named a0_type
% 0.16/0.55 Using role type
% 0.16/0.55 Declaring a0:(fofType->Prop)
% 0.16/0.55 FOF formula (<kernel.Constant object at 0x1795c20>, <kernel.DependentProduct object at 0x2b052beadd88>) of role type named a1_type
% 0.16/0.56 Using role type
% 0.16/0.56 Declaring a1:(fofType->Prop)
% 0.16/0.56 FOF formula (<kernel.Constant object at 0x17959e0>, <kernel.DependentProduct object at 0x17b5d40>) of role type named a2_type
% 0.16/0.56 Using role type
% 0.16/0.56 Declaring a2:(fofType->Prop)
% 0.16/0.56 FOF formula (<kernel.Constant object at 0x1795c20>, <kernel.DependentProduct object at 0x17b5cb0>) of role type named b0_type
% 0.16/0.56 Using role type
% 0.16/0.56 Declaring b0:(fofType->Prop)
% 0.16/0.56 FOF formula (<kernel.Constant object at 0x1795e18>, <kernel.DependentProduct object at 0x17b5d88>) of role type named b1_type
% 0.16/0.56 Using role type
% 0.16/0.56 Declaring b1:(fofType->Prop)
% 0.16/0.56 FOF formula (<kernel.Constant object at 0x1795c68>, <kernel.DependentProduct object at 0x17b5b90>) of role type named b2_type
% 0.16/0.56 Using role type
% 0.16/0.56 Declaring b2:(fofType->Prop)
% 0.16/0.56 FOF formula (<kernel.Constant object at 0x17959e0>, <kernel.DependentProduct object at 0x17b5c20>) of role type named f_type
% 0.16/0.56 Using role type
% 0.16/0.56 Declaring f:(fofType->Prop)
% 0.16/0.56 FOF formula (ivalid ((iand ((iimplies ((iand ((iimplies (iatom a0)) (iatom f))) ((iand ((iimplies ((iimplies (iatom b2)) (iatom b0))) (iatom a2))) ((iand ((iimplies ((iimplies (iatom b0)) (iatom a1))) (iatom a0))) ((iimplies ((iimplies (iatom b1)) (iatom a2))) (iatom a1)))))) (iatom f))) ((iimplies ((iand ((iimplies ((iimplies (iatom b1)) (iatom a2))) (iatom a1))) ((iand ((iimplies ((iimplies (iatom b0)) (iatom a1))) (iatom a0))) ((iand ((iimplies ((iimplies (iatom b2)) (iatom b0))) (iatom a2))) ((iimplies (iatom a0)) (iatom f)))))) (iatom f)))) of role conjecture named con
% 0.16/0.56 Conjecture to prove = (ivalid ((iand ((iimplies ((iand ((iimplies (iatom a0)) (iatom f))) ((iand ((iimplies ((iimplies (iatom b2)) (iatom b0))) (iatom a2))) ((iand ((iimplies ((iimplies (iatom b0)) (iatom a1))) (iatom a0))) ((iimplies ((iimplies (iatom b1)) (iatom a2))) (iatom a1)))))) (iatom f))) ((iimplies ((iand ((iimplies ((iimplies (iatom b1)) (iatom a2))) (iatom a1))) ((iand ((iimplies ((iimplies (iatom b0)) (iatom a1))) (iatom a0))) ((iand ((iimplies ((iimplies (iatom b2)) (iatom b0))) (iatom a2))) ((iimplies (iatom a0)) (iatom f)))))) (iatom f)))):Prop
% 0.16/0.56 Parameter fofType_DUMMY:fofType.
% 0.16/0.56 We need to prove ['(ivalid ((iand ((iimplies ((iand ((iimplies (iatom a0)) (iatom f))) ((iand ((iimplies ((iimplies (iatom b2)) (iatom b0))) (iatom a2))) ((iand ((iimplies ((iimplies (iatom b0)) (iatom a1))) (iatom a0))) ((iimplies ((iimplies (iatom b1)) (iatom a2))) (iatom a1)))))) (iatom f))) ((iimplies ((iand ((iimplies ((iimplies (iatom b1)) (iatom a2))) (iatom a1))) ((iand ((iimplies ((iimplies (iatom b0)) (iatom a1))) (iatom a0))) ((iand ((iimplies ((iimplies (iatom b2)) (iatom b0))) (iatom a2))) ((iimplies (iatom a0)) (iatom f)))))) (iatom f))))']
% 0.16/0.56 Parameter fofType:Type.
% 0.16/0.56 Parameter irel:(fofType->(fofType->Prop)).
% 0.16/0.56 Axiom refl_axiom:(forall (X:fofType), ((irel X) X)).
% 0.16/0.56 Axiom trans_axiom:(forall (X:fofType) (Y:fofType) (Z:fofType), (((and ((irel X) Y)) ((irel Y) Z))->((irel X) Z))).
% 0.16/0.56 Definition mnot:=(fun (X:(fofType->Prop)) (U:fofType)=> ((X U)->False)):((fofType->Prop)->(fofType->Prop)).
% 0.16/0.56 Definition mor:=(fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (U:fofType)=> ((or (X U)) (Y U))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.16/0.56 Definition mand:=(fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (U:fofType)=> ((and (X U)) (Y U))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.16/0.56 Definition mimplies:=(fun (U:(fofType->Prop)) (V:(fofType->Prop))=> ((mor (mnot U)) V)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.16/0.56 Definition mbox_s4:=(fun (P:(fofType->Prop)) (X:fofType)=> (forall (Y:fofType), (((irel X) Y)->(P Y)))):((fofType->Prop)->(fofType->Prop)).
% 0.16/0.56 Definition iatom:=(fun (P:(fofType->Prop))=> P):((fofType->Prop)->(fofType->Prop)).
% 0.16/0.56 Definition inot:=(fun (P:(fofType->Prop))=> (mnot (mbox_s4 P))):((fofType->Prop)->(fofType->Prop)).
% 0.16/0.56 Definition itrue:=(fun (W:fofType)=> True):(fofType->Prop).
% 0.16/0.56 Definition ifalse:=(inot itrue):(fofType->Prop).
% 0.16/0.56 Definition iand:=(fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> ((mand P) Q)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.16/0.56 Definition ior:=(fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> ((mor (mbox_s4 P)) (mbox_s4 Q))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 5.42/5.58 Definition iimplies:=(fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> ((mimplies (mbox_s4 P)) (mbox_s4 Q))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 5.42/5.58 Definition iimplied:=(fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> ((iimplies Q) P)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 5.42/5.58 Definition iequiv:=(fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> ((iand ((iimplies P) Q)) ((iimplies Q) P))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 5.42/5.58 Definition ixor:=(fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> (inot ((iequiv P) Q))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 5.42/5.58 Definition ivalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W))):((fofType->Prop)->Prop).
% 5.42/5.58 Definition isatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W)))):((fofType->Prop)->Prop).
% 5.42/5.58 Definition icountersatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False)))):((fofType->Prop)->Prop).
% 5.42/5.58 Definition iinvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False))):((fofType->Prop)->Prop).
% 5.42/5.58 Parameter a0:(fofType->Prop).
% 5.42/5.58 Parameter a1:(fofType->Prop).
% 5.42/5.58 Parameter a2:(fofType->Prop).
% 5.42/5.58 Parameter b0:(fofType->Prop).
% 5.42/5.58 Parameter b1:(fofType->Prop).
% 5.42/5.58 Parameter b2:(fofType->Prop).
% 5.42/5.58 Parameter f:(fofType->Prop).
% 5.42/5.58 Trying to prove (ivalid ((iand ((iimplies ((iand ((iimplies (iatom a0)) (iatom f))) ((iand ((iimplies ((iimplies (iatom b2)) (iatom b0))) (iatom a2))) ((iand ((iimplies ((iimplies (iatom b0)) (iatom a1))) (iatom a0))) ((iimplies ((iimplies (iatom b1)) (iatom a2))) (iatom a1)))))) (iatom f))) ((iimplies ((iand ((iimplies ((iimplies (iatom b1)) (iatom a2))) (iatom a1))) ((iand ((iimplies ((iimplies (iatom b0)) (iatom a1))) (iatom a0))) ((iand ((iimplies ((iimplies (iatom b2)) (iatom b0))) (iatom a2))) ((iimplies (iatom a0)) (iatom f)))))) (iatom f))))
% 5.42/5.58 % SZS status GaveUp for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------