TSTP Solution File: SYO068^4.020 by cocATP---0.2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : SYO068^4.020 : TPTP v7.5.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n025.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 0.56s 0.74s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SYO068^4.020 : TPTP v7.5.0. Released v4.0.0.
% 0.03/0.11 % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.32 % Computer : n025.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % RAMPerCPU : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % DateTime : Fri Mar 11 13:28:31 EST 2022
% 0.12/0.32 % CPUTime :
% 0.12/0.33 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.12/0.33 Python 2.7.5
% 0.41/0.61 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/']
% 0.41/0.61 Failed to open /home/cristobal/cocATP/CASC/TPTP/Axioms/LCL010^0.ax, trying next directory
% 0.41/0.61 FOF formula (<kernel.Constant object at 0x2836950>, <kernel.DependentProduct object at 0x2836878>) of role type named irel_type
% 0.41/0.61 Using role type
% 0.41/0.61 Declaring irel:(fofType->(fofType->Prop))
% 0.41/0.61 FOF formula (forall (X:fofType), ((irel X) X)) of role axiom named refl_axiom
% 0.41/0.61 A new axiom: (forall (X:fofType), ((irel X) X))
% 0.41/0.61 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
% 0.41/0.61 A new axiom: (forall (X:fofType) (Y:fofType) (Z:fofType), (((and ((irel X) Y)) ((irel Y) Z))->((irel X) Z)))
% 0.41/0.61 FOF formula (<kernel.Constant object at 0x2836998>, <kernel.DependentProduct object at 0x2836560>) of role type named mnot_decl_type
% 0.41/0.61 Using role type
% 0.41/0.61 Declaring mnot:((fofType->Prop)->(fofType->Prop))
% 0.41/0.61 FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) mnot) (fun (X:(fofType->Prop)) (U:fofType)=> ((X U)->False))) of role definition named mnot
% 0.41/0.61 A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) mnot) (fun (X:(fofType->Prop)) (U:fofType)=> ((X U)->False)))
% 0.41/0.61 Defined: mnot:=(fun (X:(fofType->Prop)) (U:fofType)=> ((X U)->False))
% 0.41/0.61 FOF formula (<kernel.Constant object at 0x2836710>, <kernel.DependentProduct object at 0x2836440>) of role type named mor_decl_type
% 0.41/0.61 Using role type
% 0.41/0.61 Declaring mor:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.41/0.61 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
% 0.41/0.61 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))))
% 0.41/0.61 Defined: mor:=(fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (U:fofType)=> ((or (X U)) (Y U)))
% 0.41/0.61 FOF formula (<kernel.Constant object at 0x2836998>, <kernel.DependentProduct object at 0x28365f0>) of role type named mand_decl_type
% 0.41/0.61 Using role type
% 0.41/0.61 Declaring mand:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.41/0.61 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
% 0.41/0.61 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))))
% 0.41/0.61 Defined: mand:=(fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (U:fofType)=> ((and (X U)) (Y U)))
% 0.41/0.61 FOF formula (<kernel.Constant object at 0x2836710>, <kernel.DependentProduct object at 0x2836320>) of role type named mimplies_decl_type
% 0.41/0.61 Using role type
% 0.41/0.61 Declaring mimplies:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.41/0.61 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
% 0.41/0.61 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplies) (fun (U:(fofType->Prop)) (V:(fofType->Prop))=> ((mor (mnot U)) V)))
% 0.41/0.61 Defined: mimplies:=(fun (U:(fofType->Prop)) (V:(fofType->Prop))=> ((mor (mnot U)) V))
% 0.41/0.61 FOF formula (<kernel.Constant object at 0x2836710>, <kernel.DependentProduct object at 0x2836758>) of role type named mbox_s4_decl_type
% 0.41/0.61 Using role type
% 0.41/0.61 Declaring mbox_s4:((fofType->Prop)->(fofType->Prop))
% 0.41/0.61 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
% 0.41/0.61 A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) mbox_s4) (fun (P:(fofType->Prop)) (X:fofType)=> (forall (Y:fofType), (((irel X) Y)->(P Y)))))
% 0.41/0.61 Defined: mbox_s4:=(fun (P:(fofType->Prop)) (X:fofType)=> (forall (Y:fofType), (((irel X) Y)->(P Y))))
% 0.41/0.61 FOF formula (<kernel.Constant object at 0x28363f8>, <kernel.DependentProduct object at 0x2836290>) of role type named iatom_type
% 0.41/0.61 Using role type
% 0.41/0.61 Declaring iatom:((fofType->Prop)->(fofType->Prop))
% 0.41/0.62 FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) iatom) (fun (P:(fofType->Prop))=> P)) of role definition named iatom
% 0.41/0.62 A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) iatom) (fun (P:(fofType->Prop))=> P))
% 0.41/0.62 Defined: iatom:=(fun (P:(fofType->Prop))=> P)
% 0.41/0.62 FOF formula (<kernel.Constant object at 0x2836098>, <kernel.DependentProduct object at 0x28360e0>) of role type named inot_type
% 0.41/0.62 Using role type
% 0.41/0.62 Declaring inot:((fofType->Prop)->(fofType->Prop))
% 0.41/0.62 FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) inot) (fun (P:(fofType->Prop))=> (mnot (mbox_s4 P)))) of role definition named inot
% 0.41/0.62 A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) inot) (fun (P:(fofType->Prop))=> (mnot (mbox_s4 P))))
% 0.41/0.62 Defined: inot:=(fun (P:(fofType->Prop))=> (mnot (mbox_s4 P)))
% 0.41/0.62 FOF formula (<kernel.Constant object at 0x28363f8>, <kernel.DependentProduct object at 0x2b653ea5d518>) of role type named itrue_type
% 0.41/0.62 Using role type
% 0.41/0.62 Declaring itrue:(fofType->Prop)
% 0.41/0.62 FOF formula (((eq (fofType->Prop)) itrue) (fun (W:fofType)=> True)) of role definition named itrue
% 0.41/0.62 A new definition: (((eq (fofType->Prop)) itrue) (fun (W:fofType)=> True))
% 0.41/0.62 Defined: itrue:=(fun (W:fofType)=> True)
% 0.41/0.62 FOF formula (<kernel.Constant object at 0x28363f8>, <kernel.DependentProduct object at 0x2b653ea5d518>) of role type named ifalse_type
% 0.41/0.62 Using role type
% 0.41/0.62 Declaring ifalse:(fofType->Prop)
% 0.41/0.62 FOF formula (((eq (fofType->Prop)) ifalse) (inot itrue)) of role definition named ifalse
% 0.41/0.62 A new definition: (((eq (fofType->Prop)) ifalse) (inot itrue))
% 0.41/0.62 Defined: ifalse:=(inot itrue)
% 0.41/0.62 FOF formula (<kernel.Constant object at 0x2b653ea5d950>, <kernel.DependentProduct object at 0x2b653ea5d7a0>) of role type named iand_type
% 0.41/0.62 Using role type
% 0.41/0.62 Declaring iand:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.41/0.62 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
% 0.41/0.62 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) iand) (fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> ((mand P) Q)))
% 0.41/0.62 Defined: iand:=(fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> ((mand P) Q))
% 0.41/0.62 FOF formula (<kernel.Constant object at 0x2b653ea5d4d0>, <kernel.DependentProduct object at 0x2b653ea7abd8>) of role type named ior_type
% 0.41/0.62 Using role type
% 0.41/0.62 Declaring ior:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.41/0.62 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
% 0.41/0.62 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))))
% 0.41/0.62 Defined: ior:=(fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> ((mor (mbox_s4 P)) (mbox_s4 Q)))
% 0.41/0.62 FOF formula (<kernel.Constant object at 0x2b653ea5d7a0>, <kernel.DependentProduct object at 0x2b653ea7afc8>) of role type named iimplies_type
% 0.41/0.62 Using role type
% 0.41/0.62 Declaring iimplies:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.41/0.62 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
% 0.41/0.62 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))))
% 0.41/0.62 Defined: iimplies:=(fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> ((mimplies (mbox_s4 P)) (mbox_s4 Q)))
% 0.41/0.62 FOF formula (<kernel.Constant object at 0x2b653ea7a200>, <kernel.DependentProduct object at 0x2b653ea7a950>) of role type named iimplied_type
% 0.41/0.62 Using role type
% 0.41/0.62 Declaring iimplied:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.41/0.62 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
% 0.41/0.62 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) iimplied) (fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> ((iimplies Q) P)))
% 0.41/0.63 Defined: iimplied:=(fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> ((iimplies Q) P))
% 0.41/0.63 FOF formula (<kernel.Constant object at 0x2b653ea7a200>, <kernel.DependentProduct object at 0x26cdfc8>) of role type named iequiv_type
% 0.41/0.63 Using role type
% 0.41/0.63 Declaring iequiv:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.41/0.63 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
% 0.41/0.63 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))))
% 0.41/0.63 Defined: iequiv:=(fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> ((iand ((iimplies P) Q)) ((iimplies Q) P)))
% 0.41/0.63 FOF formula (<kernel.Constant object at 0x26cd710>, <kernel.DependentProduct object at 0x26cdea8>) of role type named ixor_type
% 0.41/0.63 Using role type
% 0.41/0.63 Declaring ixor:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.41/0.63 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
% 0.41/0.63 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) ixor) (fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> (inot ((iequiv P) Q))))
% 0.41/0.63 Defined: ixor:=(fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> (inot ((iequiv P) Q)))
% 0.41/0.63 FOF formula (<kernel.Constant object at 0x26cdfc8>, <kernel.DependentProduct object at 0x283f170>) of role type named ivalid_type
% 0.41/0.63 Using role type
% 0.41/0.63 Declaring ivalid:((fofType->Prop)->Prop)
% 0.41/0.63 FOF formula (((eq ((fofType->Prop)->Prop)) ivalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W)))) of role definition named ivalid
% 0.41/0.63 A new definition: (((eq ((fofType->Prop)->Prop)) ivalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W))))
% 0.41/0.63 Defined: ivalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W)))
% 0.41/0.63 FOF formula (<kernel.Constant object at 0x26cde18>, <kernel.DependentProduct object at 0x283f128>) of role type named isatisfiable_type
% 0.41/0.63 Using role type
% 0.41/0.63 Declaring isatisfiable:((fofType->Prop)->Prop)
% 0.41/0.63 FOF formula (((eq ((fofType->Prop)->Prop)) isatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W))))) of role definition named isatisfiable
% 0.41/0.63 A new definition: (((eq ((fofType->Prop)->Prop)) isatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W)))))
% 0.41/0.63 Defined: isatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W))))
% 0.41/0.63 FOF formula (<kernel.Constant object at 0x283f128>, <kernel.DependentProduct object at 0x283f2d8>) of role type named icountersatisfiable_type
% 0.41/0.63 Using role type
% 0.41/0.63 Declaring icountersatisfiable:((fofType->Prop)->Prop)
% 0.41/0.63 FOF formula (((eq ((fofType->Prop)->Prop)) icountersatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False))))) of role definition named icountersatisfiable
% 0.41/0.63 A new definition: (((eq ((fofType->Prop)->Prop)) icountersatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False)))))
% 0.41/0.63 Defined: icountersatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False))))
% 0.41/0.63 FOF formula (<kernel.Constant object at 0x283f050>, <kernel.DependentProduct object at 0x283f518>) of role type named iinvalid_type
% 0.41/0.63 Using role type
% 0.41/0.63 Declaring iinvalid:((fofType->Prop)->Prop)
% 0.41/0.63 FOF formula (((eq ((fofType->Prop)->Prop)) iinvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False)))) of role definition named iinvalid
% 0.41/0.63 A new definition: (((eq ((fofType->Prop)->Prop)) iinvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False))))
% 0.41/0.63 Defined: iinvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False)))
% 0.41/0.63 FOF formula (<kernel.Constant object at 0x26cac68>, <kernel.DependentProduct object at 0x2b653ea7bb90>) of role type named p0_type
% 0.41/0.63 Using role type
% 0.41/0.63 Declaring p0:(fofType->Prop)
% 0.41/0.63 FOF formula (<kernel.Constant object at 0x26ca998>, <kernel.DependentProduct object at 0x2b653ea7bcb0>) of role type named p1_type
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring p1:(fofType->Prop)
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x26caa70>, <kernel.DependentProduct object at 0x2b653ea7be60>) of role type named p10_type
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring p10:(fofType->Prop)
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x26cac68>, <kernel.DependentProduct object at 0x2b653ea7b8c0>) of role type named p11_type
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring p11:(fofType->Prop)
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x26caa70>, <kernel.DependentProduct object at 0x2b653ea7b998>) of role type named p12_type
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring p12:(fofType->Prop)
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x26ca998>, <kernel.DependentProduct object at 0x2b653ea7b5f0>) of role type named p13_type
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring p13:(fofType->Prop)
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x26ca998>, <kernel.DependentProduct object at 0x26ced88>) of role type named p14_type
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring p14:(fofType->Prop)
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2b653ea7b5f0>, <kernel.DependentProduct object at 0x26cee60>) of role type named p15_type
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring p15:(fofType->Prop)
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2b653ea7bcb0>, <kernel.DependentProduct object at 0x2836f38>) of role type named p16_type
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring p16:(fofType->Prop)
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2b653ea7bf80>, <kernel.DependentProduct object at 0x2836f80>) of role type named p17_type
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring p17:(fofType->Prop)
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x26ced88>, <kernel.DependentProduct object at 0x2836fc8>) of role type named p18_type
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring p18:(fofType->Prop)
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2b653ea7bf80>, <kernel.DependentProduct object at 0x2836ef0>) of role type named p19_type
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring p19:(fofType->Prop)
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2b653ea7b998>, <kernel.DependentProduct object at 0x2836e60>) of role type named p2_type
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring p2:(fofType->Prop)
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2b653ea7bbd8>, <kernel.DependentProduct object at 0x2836ea8>) of role type named p20_type
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring p20:(fofType->Prop)
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2b653ea7b998>, <kernel.DependentProduct object at 0x2836d40>) of role type named p3_type
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring p3:(fofType->Prop)
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2b653ea7bf80>, <kernel.DependentProduct object at 0x2836dd0>) of role type named p4_type
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring p4:(fofType->Prop)
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2b653ea7bf80>, <kernel.DependentProduct object at 0x2836e18>) of role type named p5_type
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring p5:(fofType->Prop)
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2836dd0>, <kernel.DependentProduct object at 0x2836c68>) of role type named p6_type
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring p6:(fofType->Prop)
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2836e18>, <kernel.DependentProduct object at 0x2836d88>) of role type named p7_type
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring p7:(fofType->Prop)
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2836c68>, <kernel.DependentProduct object at 0x2836c20>) of role type named p8_type
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring p8:(fofType->Prop)
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2836d88>, <kernel.DependentProduct object at 0x2836b00>) of role type named p9_type
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring p9:(fofType->Prop)
% 0.47/0.63 FOF formula (ivalid (iatom p20)) of role axiom named axiom1
% 0.47/0.63 A new axiom: (ivalid (iatom p20))
% 0.47/0.63 FOF formula (ivalid ((iimplies (iatom p1)) ((iimplies (iatom p1)) (iatom p0)))) of role axiom named axiom2
% 0.47/0.63 A new axiom: (ivalid ((iimplies (iatom p1)) ((iimplies (iatom p1)) (iatom p0))))
% 0.47/0.63 FOF formula (ivalid ((iimplies (iatom p2)) ((iimplies (iatom p2)) (iatom p1)))) of role axiom named axiom3
% 0.47/0.63 A new axiom: (ivalid ((iimplies (iatom p2)) ((iimplies (iatom p2)) (iatom p1))))
% 0.47/0.63 FOF formula (ivalid ((iimplies (iatom p3)) ((iimplies (iatom p3)) (iatom p2)))) of role axiom named axiom4
% 0.47/0.63 A new axiom: (ivalid ((iimplies (iatom p3)) ((iimplies (iatom p3)) (iatom p2))))
% 0.47/0.63 FOF formula (ivalid ((iimplies (iatom p4)) ((iimplies (iatom p4)) (iatom p3)))) of role axiom named axiom5
% 0.47/0.64 A new axiom: (ivalid ((iimplies (iatom p4)) ((iimplies (iatom p4)) (iatom p3))))
% 0.47/0.64 FOF formula (ivalid ((iimplies (iatom p5)) ((iimplies (iatom p5)) (iatom p4)))) of role axiom named axiom6
% 0.47/0.64 A new axiom: (ivalid ((iimplies (iatom p5)) ((iimplies (iatom p5)) (iatom p4))))
% 0.47/0.64 FOF formula (ivalid ((iimplies (iatom p6)) ((iimplies (iatom p6)) (iatom p5)))) of role axiom named axiom7
% 0.47/0.64 A new axiom: (ivalid ((iimplies (iatom p6)) ((iimplies (iatom p6)) (iatom p5))))
% 0.47/0.64 FOF formula (ivalid ((iimplies (iatom p7)) ((iimplies (iatom p7)) (iatom p6)))) of role axiom named axiom8
% 0.47/0.64 A new axiom: (ivalid ((iimplies (iatom p7)) ((iimplies (iatom p7)) (iatom p6))))
% 0.47/0.64 FOF formula (ivalid ((iimplies (iatom p8)) ((iimplies (iatom p8)) (iatom p7)))) of role axiom named axiom9
% 0.47/0.64 A new axiom: (ivalid ((iimplies (iatom p8)) ((iimplies (iatom p8)) (iatom p7))))
% 0.47/0.64 FOF formula (ivalid ((iimplies (iatom p9)) ((iimplies (iatom p9)) (iatom p8)))) of role axiom named axiom10
% 0.47/0.64 A new axiom: (ivalid ((iimplies (iatom p9)) ((iimplies (iatom p9)) (iatom p8))))
% 0.47/0.64 FOF formula (ivalid ((iimplies (iatom p10)) ((iimplies (iatom p10)) (iatom p9)))) of role axiom named axiom11
% 0.47/0.64 A new axiom: (ivalid ((iimplies (iatom p10)) ((iimplies (iatom p10)) (iatom p9))))
% 0.47/0.64 FOF formula (ivalid ((iimplies (iatom p11)) ((iimplies (iatom p11)) (iatom p10)))) of role axiom named axiom12
% 0.47/0.64 A new axiom: (ivalid ((iimplies (iatom p11)) ((iimplies (iatom p11)) (iatom p10))))
% 0.47/0.64 FOF formula (ivalid ((iimplies (iatom p12)) ((iimplies (iatom p12)) (iatom p11)))) of role axiom named axiom13
% 0.47/0.64 A new axiom: (ivalid ((iimplies (iatom p12)) ((iimplies (iatom p12)) (iatom p11))))
% 0.47/0.64 FOF formula (ivalid ((iimplies (iatom p13)) ((iimplies (iatom p13)) (iatom p12)))) of role axiom named axiom14
% 0.47/0.64 A new axiom: (ivalid ((iimplies (iatom p13)) ((iimplies (iatom p13)) (iatom p12))))
% 0.47/0.64 FOF formula (ivalid ((iimplies (iatom p14)) ((iimplies (iatom p14)) (iatom p13)))) of role axiom named axiom15
% 0.47/0.64 A new axiom: (ivalid ((iimplies (iatom p14)) ((iimplies (iatom p14)) (iatom p13))))
% 0.47/0.64 FOF formula (ivalid ((iimplies (iatom p15)) ((iimplies (iatom p15)) (iatom p14)))) of role axiom named axiom16
% 0.47/0.64 A new axiom: (ivalid ((iimplies (iatom p15)) ((iimplies (iatom p15)) (iatom p14))))
% 0.47/0.64 FOF formula (ivalid ((iimplies (iatom p16)) ((iimplies (iatom p16)) (iatom p15)))) of role axiom named axiom17
% 0.47/0.64 A new axiom: (ivalid ((iimplies (iatom p16)) ((iimplies (iatom p16)) (iatom p15))))
% 0.47/0.64 FOF formula (ivalid ((iimplies (iatom p17)) ((iimplies (iatom p17)) (iatom p16)))) of role axiom named axiom18
% 0.47/0.64 A new axiom: (ivalid ((iimplies (iatom p17)) ((iimplies (iatom p17)) (iatom p16))))
% 0.47/0.64 FOF formula (ivalid ((iimplies (iatom p18)) ((iimplies (iatom p18)) (iatom p17)))) of role axiom named axiom19
% 0.47/0.64 A new axiom: (ivalid ((iimplies (iatom p18)) ((iimplies (iatom p18)) (iatom p17))))
% 0.47/0.64 FOF formula (ivalid ((iimplies (iatom p19)) ((iimplies (iatom p19)) (iatom p18)))) of role axiom named axiom20
% 0.47/0.64 A new axiom: (ivalid ((iimplies (iatom p19)) ((iimplies (iatom p19)) (iatom p18))))
% 0.47/0.64 FOF formula (ivalid ((iimplies (iatom p20)) ((iimplies (iatom p20)) (iatom p19)))) of role axiom named axiom21
% 0.47/0.64 A new axiom: (ivalid ((iimplies (iatom p20)) ((iimplies (iatom p20)) (iatom p19))))
% 0.47/0.64 FOF formula (ivalid (iatom p0)) of role conjecture named con
% 0.47/0.64 Conjecture to prove = (ivalid (iatom p0)):Prop
% 0.47/0.64 Parameter fofType_DUMMY:fofType.
% 0.47/0.64 We need to prove ['(ivalid (iatom p0))']
% 0.47/0.64 Parameter fofType:Type.
% 0.47/0.64 Parameter irel:(fofType->(fofType->Prop)).
% 0.47/0.64 Axiom refl_axiom:(forall (X:fofType), ((irel X) X)).
% 0.47/0.64 Axiom trans_axiom:(forall (X:fofType) (Y:fofType) (Z:fofType), (((and ((irel X) Y)) ((irel Y) Z))->((irel X) Z))).
% 0.47/0.64 Definition mnot:=(fun (X:(fofType->Prop)) (U:fofType)=> ((X U)->False)):((fofType->Prop)->(fofType->Prop)).
% 0.47/0.64 Definition mor:=(fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (U:fofType)=> ((or (X U)) (Y U))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.47/0.64 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 p0:(fofType->Prop).
% 0.47/0.65 Parameter p1:(fofType->Prop).
% 0.47/0.65 Parameter p10:(fofType->Prop).
% 0.47/0.65 Parameter p11:(fofType->Prop).
% 0.47/0.65 Parameter p12:(fofType->Prop).
% 0.47/0.65 Parameter p13:(fofType->Prop).
% 0.47/0.65 Parameter p14:(fofType->Prop).
% 0.47/0.65 Parameter p15:(fofType->Prop).
% 0.47/0.65 Parameter p16:(fofType->Prop).
% 0.47/0.65 Parameter p17:(fofType->Prop).
% 0.47/0.65 Parameter p18:(fofType->Prop).
% 0.47/0.65 Parameter p19:(fofType->Prop).
% 0.47/0.65 Parameter p2:(fofType->Prop).
% 0.47/0.65 Parameter p20:(fofType->Prop).
% 0.47/0.65 Parameter p3:(fofType->Prop).
% 0.47/0.65 Parameter p4:(fofType->Prop).
% 0.47/0.65 Parameter p5:(fofType->Prop).
% 0.47/0.65 Parameter p6:(fofType->Prop).
% 0.47/0.65 Parameter p7:(fofType->Prop).
% 0.47/0.65 Parameter p8:(fofType->Prop).
% 0.47/0.65 Parameter p9:(fofType->Prop).
% 0.47/0.65 Axiom axiom1:(ivalid (iatom p20)).
% 0.47/0.65 Axiom axiom2:(ivalid ((iimplies (iatom p1)) ((iimplies (iatom p1)) (iatom p0)))).
% 0.47/0.65 Axiom axiom3:(ivalid ((iimplies (iatom p2)) ((iimplies (iatom p2)) (iatom p1)))).
% 0.47/0.65 Axiom axiom4:(ivalid ((iimplies (iatom p3)) ((iimplies (iatom p3)) (iatom p2)))).
% 0.47/0.65 Axiom axiom5:(ivalid ((iimplies (iatom p4)) ((iimplies (iatom p4)) (iatom p3)))).
% 0.47/0.65 Axiom axiom6:(ivalid ((iimplies (iatom p5)) ((iimplies (iatom p5)) (iatom p4)))).
% 0.47/0.65 Axiom axiom7:(ivalid ((iimplies (iatom p6)) ((iimplies (iatom p6)) (iatom p5)))).
% 0.47/0.65 Axiom axiom8:(ivalid ((iimplies (iatom p7)) ((iimplies (iatom p7)) (iatom p6)))).
% 0.47/0.65 Axiom axiom9:(ivalid ((iimplies (iatom p8)) ((iimplies (iatom p8)) (iatom p7)))).
% 0.47/0.65 Axiom axiom10:(ivalid ((iimplies (iatom p9)) ((iimplies (iatom p9)) (iatom p8)))).
% 0.47/0.65 Axiom axiom11:(ivalid ((iimplies (iatom p10)) ((iimplies (iatom p10)) (iatom p9)))).
% 0.47/0.65 Axiom axiom12:(ivalid ((iimplies (iatom p11)) ((iimplies (iatom p11)) (iatom p10)))).
% 0.47/0.65 Axiom axiom13:(ivalid ((iimplies (iatom p12)) ((iimplies (iatom p12)) (iatom p11)))).
% 0.47/0.65 Axiom axiom14:(ivalid ((iimplies (iatom p13)) ((iimplies (iatom p13)) (iatom p12)))).
% 0.47/0.65 Axiom axiom15:(ivalid ((iimplies (iatom p14)) ((iimplies (iatom p14)) (iatom p13)))).
% 0.47/0.65 Axiom axiom16:(ivalid ((iimplies (iatom p15)) ((iimplies (iatom p15)) (iatom p14)))).
% 0.47/0.65 Axiom axiom17:(ivalid ((iimplies (iatom p16)) ((iimplies (iatom p16)) (iatom p15)))).
% 0.47/0.65 Axiom axiom18:(ivalid ((iimplies (iatom p17)) ((iimplies (iatom p17)) (iatom p16)))).
% 0.47/0.65 Axiom axiom19:(ivalid ((iimplies (iatom p18)) ((iimplies (iatom p18)) (iatom p17)))).
% 0.56/0.74 Axiom axiom20:(ivalid ((iimplies (iatom p19)) ((iimplies (iatom p19)) (iatom p18)))).
% 0.56/0.74 Axiom axiom21:(ivalid ((iimplies (iatom p20)) ((iimplies (iatom p20)) (iatom p19)))).
% 0.56/0.74 Trying to prove (ivalid (iatom p0))
% 0.56/0.74 % SZS status GaveUp for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------