TSTP Solution File: SYO071^4.003 by cocATP---0.2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : SYO071^4.003 : TPTP v7.5.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n019.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 00:50:35 EDT 2022
% Result : Unknown 37.62s 37.81s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SYO071^4.003 : TPTP v7.5.0. Released v4.0.0.
% 0.10/0.12 % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.32 % Computer : n019.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
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Fri Mar 11 13:48:12 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
% 0.44/0.61 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/']
% 0.44/0.61 Failed to open /home/cristobal/cocATP/CASC/TPTP/Axioms/LCL010^0.ax, trying next directory
% 0.44/0.61 FOF formula (<kernel.Constant object at 0xecf638>, <kernel.DependentProduct object at 0xecf9e0>) of role type named irel_type
% 0.44/0.61 Using role type
% 0.44/0.61 Declaring irel:(fofType->(fofType->Prop))
% 0.44/0.61 FOF formula (forall (X:fofType), ((irel X) X)) of role axiom named refl_axiom
% 0.44/0.61 A new axiom: (forall (X:fofType), ((irel X) X))
% 0.44/0.61 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
% 0.44/0.61 A new axiom: (forall (X:fofType) (Y:fofType) (Z:fofType), (((and ((irel X) Y)) ((irel Y) Z))->((irel X) Z)))
% 0.44/0.61 FOF formula (<kernel.Constant object at 0xecf680>, <kernel.DependentProduct object at 0xecffc8>) of role type named mnot_decl_type
% 0.44/0.61 Using role type
% 0.44/0.61 Declaring mnot:((fofType->Prop)->(fofType->Prop))
% 0.44/0.61 FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) mnot) (fun (X:(fofType->Prop)) (U:fofType)=> ((X U)->False))) of role definition named mnot
% 0.44/0.61 A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) mnot) (fun (X:(fofType->Prop)) (U:fofType)=> ((X U)->False)))
% 0.44/0.61 Defined: mnot:=(fun (X:(fofType->Prop)) (U:fofType)=> ((X U)->False))
% 0.44/0.61 FOF formula (<kernel.Constant object at 0xecf3f8>, <kernel.DependentProduct object at 0xecfb00>) of role type named mor_decl_type
% 0.44/0.61 Using role type
% 0.44/0.61 Declaring mor:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.44/0.61 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
% 0.44/0.61 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))))
% 0.44/0.61 Defined: mor:=(fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (U:fofType)=> ((or (X U)) (Y U)))
% 0.44/0.61 FOF formula (<kernel.Constant object at 0x2b35cb4e3b90>, <kernel.DependentProduct object at 0x2b35cb4e3ab8>) of role type named mand_decl_type
% 0.44/0.61 Using role type
% 0.44/0.61 Declaring mand:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.44/0.61 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
% 0.44/0.61 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))))
% 0.44/0.61 Defined: mand:=(fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (U:fofType)=> ((and (X U)) (Y U)))
% 0.44/0.61 FOF formula (<kernel.Constant object at 0xecfa28>, <kernel.DependentProduct object at 0xecf0e0>) of role type named mimplies_decl_type
% 0.44/0.61 Using role type
% 0.44/0.61 Declaring mimplies:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.44/0.61 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
% 0.44/0.61 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplies) (fun (U:(fofType->Prop)) (V:(fofType->Prop))=> ((mor (mnot U)) V)))
% 0.44/0.61 Defined: mimplies:=(fun (U:(fofType->Prop)) (V:(fofType->Prop))=> ((mor (mnot U)) V))
% 0.44/0.61 FOF formula (<kernel.Constant object at 0xecf0e0>, <kernel.DependentProduct object at 0x2b35cb4e3908>) of role type named mbox_s4_decl_type
% 0.44/0.61 Using role type
% 0.44/0.61 Declaring mbox_s4:((fofType->Prop)->(fofType->Prop))
% 0.44/0.61 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
% 0.44/0.61 A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) mbox_s4) (fun (P:(fofType->Prop)) (X:fofType)=> (forall (Y:fofType), (((irel X) Y)->(P Y)))))
% 0.44/0.61 Defined: mbox_s4:=(fun (P:(fofType->Prop)) (X:fofType)=> (forall (Y:fofType), (((irel X) Y)->(P Y))))
% 0.44/0.61 FOF formula (<kernel.Constant object at 0x2b35cb4e38c0>, <kernel.DependentProduct object at 0xeafd40>) of role type named iatom_type
% 0.44/0.61 Using role type
% 0.44/0.62 Declaring iatom:((fofType->Prop)->(fofType->Prop))
% 0.44/0.62 FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) iatom) (fun (P:(fofType->Prop))=> P)) of role definition named iatom
% 0.44/0.62 A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) iatom) (fun (P:(fofType->Prop))=> P))
% 0.44/0.62 Defined: iatom:=(fun (P:(fofType->Prop))=> P)
% 0.44/0.62 FOF formula (<kernel.Constant object at 0x2b35cb4e3908>, <kernel.DependentProduct object at 0xeafab8>) of role type named inot_type
% 0.44/0.62 Using role type
% 0.44/0.62 Declaring inot:((fofType->Prop)->(fofType->Prop))
% 0.44/0.62 FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) inot) (fun (P:(fofType->Prop))=> (mnot (mbox_s4 P)))) of role definition named inot
% 0.44/0.62 A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) inot) (fun (P:(fofType->Prop))=> (mnot (mbox_s4 P))))
% 0.44/0.62 Defined: inot:=(fun (P:(fofType->Prop))=> (mnot (mbox_s4 P)))
% 0.44/0.62 FOF formula (<kernel.Constant object at 0x2b35cb4e3998>, <kernel.DependentProduct object at 0xeafc20>) of role type named itrue_type
% 0.44/0.62 Using role type
% 0.44/0.62 Declaring itrue:(fofType->Prop)
% 0.44/0.62 FOF formula (((eq (fofType->Prop)) itrue) (fun (W:fofType)=> True)) of role definition named itrue
% 0.44/0.62 A new definition: (((eq (fofType->Prop)) itrue) (fun (W:fofType)=> True))
% 0.44/0.62 Defined: itrue:=(fun (W:fofType)=> True)
% 0.44/0.62 FOF formula (<kernel.Constant object at 0xeafdd0>, <kernel.DependentProduct object at 0xeafd40>) of role type named ifalse_type
% 0.44/0.62 Using role type
% 0.44/0.62 Declaring ifalse:(fofType->Prop)
% 0.44/0.62 FOF formula (((eq (fofType->Prop)) ifalse) (inot itrue)) of role definition named ifalse
% 0.44/0.62 A new definition: (((eq (fofType->Prop)) ifalse) (inot itrue))
% 0.44/0.62 Defined: ifalse:=(inot itrue)
% 0.44/0.62 FOF formula (<kernel.Constant object at 0xeafab8>, <kernel.DependentProduct object at 0xeafe18>) of role type named iand_type
% 0.44/0.62 Using role type
% 0.44/0.62 Declaring iand:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.44/0.62 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
% 0.44/0.62 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) iand) (fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> ((mand P) Q)))
% 0.44/0.62 Defined: iand:=(fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> ((mand P) Q))
% 0.44/0.62 FOF formula (<kernel.Constant object at 0xeafdd0>, <kernel.DependentProduct object at 0xed4368>) of role type named ior_type
% 0.44/0.62 Using role type
% 0.44/0.62 Declaring ior:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.44/0.62 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
% 0.44/0.62 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))))
% 0.44/0.62 Defined: ior:=(fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> ((mor (mbox_s4 P)) (mbox_s4 Q)))
% 0.44/0.62 FOF formula (<kernel.Constant object at 0xeafe18>, <kernel.DependentProduct object at 0xed4170>) of role type named iimplies_type
% 0.44/0.62 Using role type
% 0.44/0.62 Declaring iimplies:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.44/0.62 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
% 0.44/0.62 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))))
% 0.44/0.62 Defined: iimplies:=(fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> ((mimplies (mbox_s4 P)) (mbox_s4 Q)))
% 0.44/0.62 FOF formula (<kernel.Constant object at 0xed40e0>, <kernel.DependentProduct object at 0xed4e18>) of role type named iimplied_type
% 0.44/0.62 Using role type
% 0.44/0.62 Declaring iimplied:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.44/0.62 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
% 0.44/0.62 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) iimplied) (fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> ((iimplies Q) P)))
% 0.46/0.63 Defined: iimplied:=(fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> ((iimplies Q) P))
% 0.46/0.63 FOF formula (<kernel.Constant object at 0xed40e0>, <kernel.DependentProduct object at 0xed4b48>) of role type named iequiv_type
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring iequiv:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.46/0.63 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
% 0.46/0.63 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))))
% 0.46/0.63 Defined: iequiv:=(fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> ((iand ((iimplies P) Q)) ((iimplies Q) P)))
% 0.46/0.63 FOF formula (<kernel.Constant object at 0xed4cf8>, <kernel.DependentProduct object at 0xed4710>) of role type named ixor_type
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring ixor:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.46/0.63 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
% 0.46/0.63 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) ixor) (fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> (inot ((iequiv P) Q))))
% 0.46/0.63 Defined: ixor:=(fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> (inot ((iequiv P) Q)))
% 0.46/0.63 FOF formula (<kernel.Constant object at 0xed40e0>, <kernel.DependentProduct object at 0x10432d8>) of role type named ivalid_type
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring ivalid:((fofType->Prop)->Prop)
% 0.46/0.63 FOF formula (((eq ((fofType->Prop)->Prop)) ivalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W)))) of role definition named ivalid
% 0.46/0.63 A new definition: (((eq ((fofType->Prop)->Prop)) ivalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W))))
% 0.46/0.63 Defined: ivalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W)))
% 0.46/0.63 FOF formula (<kernel.Constant object at 0xed4710>, <kernel.DependentProduct object at 0x1043050>) of role type named isatisfiable_type
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring isatisfiable:((fofType->Prop)->Prop)
% 0.46/0.63 FOF formula (((eq ((fofType->Prop)->Prop)) isatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W))))) of role definition named isatisfiable
% 0.46/0.63 A new definition: (((eq ((fofType->Prop)->Prop)) isatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W)))))
% 0.46/0.63 Defined: isatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W))))
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x1043098>, <kernel.DependentProduct object at 0x1043170>) of role type named icountersatisfiable_type
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring icountersatisfiable:((fofType->Prop)->Prop)
% 0.46/0.63 FOF formula (((eq ((fofType->Prop)->Prop)) icountersatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False))))) of role definition named icountersatisfiable
% 0.46/0.63 A new definition: (((eq ((fofType->Prop)->Prop)) icountersatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False)))))
% 0.46/0.63 Defined: icountersatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False))))
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x10432d8>, <kernel.DependentProduct object at 0x1043560>) of role type named iinvalid_type
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring iinvalid:((fofType->Prop)->Prop)
% 0.46/0.63 FOF formula (((eq ((fofType->Prop)->Prop)) iinvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False)))) of role definition named iinvalid
% 0.46/0.63 A new definition: (((eq ((fofType->Prop)->Prop)) iinvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False))))
% 0.46/0.63 Defined: iinvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False)))
% 0.46/0.63 FOF formula (<kernel.Constant object at 0xecce60>, <kernel.DependentProduct object at 0xecfea8>) of role type named p0_type
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring p0:(fofType->Prop)
% 0.46/0.63 FOF formula (<kernel.Constant object at 0xeccef0>, <kernel.DependentProduct object at 0xecfe60>) of role type named p1_type
% 0.46/0.63 Using role type
% 0.46/0.64 Declaring p1:(fofType->Prop)
% 0.46/0.64 FOF formula (<kernel.Constant object at 0xeccef0>, <kernel.DependentProduct object at 0xecfc20>) of role type named p2_type
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring p2:(fofType->Prop)
% 0.46/0.64 FOF formula (<kernel.Constant object at 0xecfe60>, <kernel.DependentProduct object at 0xecf950>) of role type named p3_type
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring p3:(fofType->Prop)
% 0.46/0.64 FOF formula (<kernel.Constant object at 0xecfc20>, <kernel.DependentProduct object at 0xecfab8>) of role type named p4_type
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring p4:(fofType->Prop)
% 0.46/0.64 FOF formula (<kernel.Constant object at 0xecf950>, <kernel.DependentProduct object at 0xecf7a0>) of role type named p5_type
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring p5:(fofType->Prop)
% 0.46/0.64 FOF formula (<kernel.Constant object at 0xecfab8>, <kernel.DependentProduct object at 0xecf830>) of role type named p6_type
% 0.46/0.64 Using role type
% 0.46/0.64 Declaring p6:(fofType->Prop)
% 0.46/0.64 FOF formula (ivalid ((iimplies ((iequiv (iatom p1)) (iatom p2))) ((iand (iatom p1)) ((iand (iatom p2)) ((iand (iatom p3)) ((iand (iatom p4)) ((iand (iatom p5)) (iatom p6)))))))) of role axiom named axiom1
% 0.46/0.64 A new axiom: (ivalid ((iimplies ((iequiv (iatom p1)) (iatom p2))) ((iand (iatom p1)) ((iand (iatom p2)) ((iand (iatom p3)) ((iand (iatom p4)) ((iand (iatom p5)) (iatom p6))))))))
% 0.46/0.64 FOF formula (ivalid ((iimplies ((iequiv (iatom p2)) (iatom p3))) ((iand (iatom p1)) ((iand (iatom p2)) ((iand (iatom p3)) ((iand (iatom p4)) ((iand (iatom p5)) (iatom p6)))))))) of role axiom named axiom2
% 0.46/0.64 A new axiom: (ivalid ((iimplies ((iequiv (iatom p2)) (iatom p3))) ((iand (iatom p1)) ((iand (iatom p2)) ((iand (iatom p3)) ((iand (iatom p4)) ((iand (iatom p5)) (iatom p6))))))))
% 0.46/0.64 FOF formula (ivalid ((iimplies ((iequiv (iatom p3)) (iatom p4))) ((iand (iatom p1)) ((iand (iatom p2)) ((iand (iatom p3)) ((iand (iatom p4)) ((iand (iatom p5)) (iatom p6)))))))) of role axiom named axiom3
% 0.46/0.64 A new axiom: (ivalid ((iimplies ((iequiv (iatom p3)) (iatom p4))) ((iand (iatom p1)) ((iand (iatom p2)) ((iand (iatom p3)) ((iand (iatom p4)) ((iand (iatom p5)) (iatom p6))))))))
% 0.46/0.64 FOF formula (ivalid ((iimplies ((iequiv (iatom p4)) (iatom p5))) ((iand (iatom p1)) ((iand (iatom p2)) ((iand (iatom p3)) ((iand (iatom p4)) ((iand (iatom p5)) (iatom p6)))))))) of role axiom named axiom4
% 0.46/0.64 A new axiom: (ivalid ((iimplies ((iequiv (iatom p4)) (iatom p5))) ((iand (iatom p1)) ((iand (iatom p2)) ((iand (iatom p3)) ((iand (iatom p4)) ((iand (iatom p5)) (iatom p6))))))))
% 0.46/0.64 FOF formula (ivalid ((iimplies ((iequiv (iatom p5)) (iatom p6))) ((iand (iatom p1)) ((iand (iatom p2)) ((iand (iatom p3)) ((iand (iatom p4)) ((iand (iatom p5)) (iatom p6)))))))) of role axiom named axiom5
% 0.46/0.64 A new axiom: (ivalid ((iimplies ((iequiv (iatom p5)) (iatom p6))) ((iand (iatom p1)) ((iand (iatom p2)) ((iand (iatom p3)) ((iand (iatom p4)) ((iand (iatom p5)) (iatom p6))))))))
% 0.46/0.64 FOF formula (ivalid ((iimplies ((iequiv (iatom p6)) (iatom p1))) ((iand (iatom p1)) ((iand (iatom p2)) ((iand (iatom p3)) ((iand (iatom p4)) ((iand (iatom p5)) (iatom p6)))))))) of role axiom named axiom6
% 0.46/0.64 A new axiom: (ivalid ((iimplies ((iequiv (iatom p6)) (iatom p1))) ((iand (iatom p1)) ((iand (iatom p2)) ((iand (iatom p3)) ((iand (iatom p4)) ((iand (iatom p5)) (iatom p6))))))))
% 0.46/0.64 FOF formula (ivalid ((ior (iatom p0)) ((ior ((iand (iatom p1)) ((iand (iatom p2)) ((iand (iatom p3)) ((iand (iatom p4)) ((iand (iatom p5)) (iatom p6))))))) (inot (iatom p0))))) of role conjecture named con
% 0.46/0.64 Conjecture to prove = (ivalid ((ior (iatom p0)) ((ior ((iand (iatom p1)) ((iand (iatom p2)) ((iand (iatom p3)) ((iand (iatom p4)) ((iand (iatom p5)) (iatom p6))))))) (inot (iatom p0))))):Prop
% 0.46/0.64 Parameter fofType_DUMMY:fofType.
% 0.46/0.64 We need to prove ['(ivalid ((ior (iatom p0)) ((ior ((iand (iatom p1)) ((iand (iatom p2)) ((iand (iatom p3)) ((iand (iatom p4)) ((iand (iatom p5)) (iatom p6))))))) (inot (iatom p0)))))']
% 0.46/0.64 Parameter fofType:Type.
% 0.46/0.64 Parameter irel:(fofType->(fofType->Prop)).
% 0.46/0.64 Axiom refl_axiom:(forall (X:fofType), ((irel X) X)).
% 0.46/0.64 Axiom trans_axiom:(forall (X:fofType) (Y:fofType) (Z:fofType), (((and ((irel X) Y)) ((irel Y) Z))->((irel X) Z))).
% 0.46/0.64 Definition mnot:=(fun (X:(fofType->Prop)) (U:fofType)=> ((X U)->False)):((fofType->Prop)->(fofType->Prop)).
% 37.53/37.79 Definition mor:=(fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (U:fofType)=> ((or (X U)) (Y U))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 37.53/37.79 Definition mand:=(fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (U:fofType)=> ((and (X U)) (Y U))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 37.53/37.79 Definition mimplies:=(fun (U:(fofType->Prop)) (V:(fofType->Prop))=> ((mor (mnot U)) V)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 37.53/37.79 Definition mbox_s4:=(fun (P:(fofType->Prop)) (X:fofType)=> (forall (Y:fofType), (((irel X) Y)->(P Y)))):((fofType->Prop)->(fofType->Prop)).
% 37.53/37.79 Definition iatom:=(fun (P:(fofType->Prop))=> P):((fofType->Prop)->(fofType->Prop)).
% 37.53/37.79 Definition inot:=(fun (P:(fofType->Prop))=> (mnot (mbox_s4 P))):((fofType->Prop)->(fofType->Prop)).
% 37.53/37.79 Definition itrue:=(fun (W:fofType)=> True):(fofType->Prop).
% 37.53/37.79 Definition ifalse:=(inot itrue):(fofType->Prop).
% 37.53/37.79 Definition iand:=(fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> ((mand P) Q)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 37.53/37.79 Definition ior:=(fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> ((mor (mbox_s4 P)) (mbox_s4 Q))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 37.53/37.79 Definition iimplies:=(fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> ((mimplies (mbox_s4 P)) (mbox_s4 Q))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 37.53/37.79 Definition iimplied:=(fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> ((iimplies Q) P)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 37.53/37.79 Definition iequiv:=(fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> ((iand ((iimplies P) Q)) ((iimplies Q) P))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 37.53/37.79 Definition ixor:=(fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> (inot ((iequiv P) Q))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 37.53/37.79 Definition ivalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W))):((fofType->Prop)->Prop).
% 37.53/37.79 Definition isatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W)))):((fofType->Prop)->Prop).
% 37.53/37.79 Definition icountersatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False)))):((fofType->Prop)->Prop).
% 37.53/37.79 Definition iinvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False))):((fofType->Prop)->Prop).
% 37.53/37.79 Parameter p0:(fofType->Prop).
% 37.53/37.79 Parameter p1:(fofType->Prop).
% 37.53/37.79 Parameter p2:(fofType->Prop).
% 37.53/37.79 Parameter p3:(fofType->Prop).
% 37.53/37.79 Parameter p4:(fofType->Prop).
% 37.53/37.79 Parameter p5:(fofType->Prop).
% 37.53/37.79 Parameter p6:(fofType->Prop).
% 37.53/37.79 Axiom axiom1:(ivalid ((iimplies ((iequiv (iatom p1)) (iatom p2))) ((iand (iatom p1)) ((iand (iatom p2)) ((iand (iatom p3)) ((iand (iatom p4)) ((iand (iatom p5)) (iatom p6)))))))).
% 37.53/37.79 Axiom axiom2:(ivalid ((iimplies ((iequiv (iatom p2)) (iatom p3))) ((iand (iatom p1)) ((iand (iatom p2)) ((iand (iatom p3)) ((iand (iatom p4)) ((iand (iatom p5)) (iatom p6)))))))).
% 37.53/37.79 Axiom axiom3:(ivalid ((iimplies ((iequiv (iatom p3)) (iatom p4))) ((iand (iatom p1)) ((iand (iatom p2)) ((iand (iatom p3)) ((iand (iatom p4)) ((iand (iatom p5)) (iatom p6)))))))).
% 37.53/37.79 Axiom axiom4:(ivalid ((iimplies ((iequiv (iatom p4)) (iatom p5))) ((iand (iatom p1)) ((iand (iatom p2)) ((iand (iatom p3)) ((iand (iatom p4)) ((iand (iatom p5)) (iatom p6)))))))).
% 37.53/37.79 Axiom axiom5:(ivalid ((iimplies ((iequiv (iatom p5)) (iatom p6))) ((iand (iatom p1)) ((iand (iatom p2)) ((iand (iatom p3)) ((iand (iatom p4)) ((iand (iatom p5)) (iatom p6)))))))).
% 37.53/37.79 Axiom axiom6:(ivalid ((iimplies ((iequiv (iatom p6)) (iatom p1))) ((iand (iatom p1)) ((iand (iatom p2)) ((iand (iatom p3)) ((iand (iatom p4)) ((iand (iatom p5)) (iatom p6)))))))).
% 37.53/37.79 Trying to prove (ivalid ((ior (iatom p0)) ((ior ((iand (iatom p1)) ((iand (iatom p2)) ((iand (iatom p3)) ((iand (iatom p4)) ((iand (iatom p5)) (iatom p6))))))) (inot (iatom p0)))))
% 37.53/37.79 % SZS status GaveUp for /export/starexec/sandbox/benchmark/theBenchmark.p
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