%------------------------------------------------------------------------------ % File : cocATP---0.2.0 % Problem : SYN390^4 : TPTP v6.1.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p % Computer : n116.star.cs.uiowa.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz % Memory : 32286.75MB % OS : Linux 2.6.32-431.20.3.el6.x86_64 % CPULimit : 300s % DateTime : Thu Jul 17 13:38:19 EDT 2014 % Result : Theorem 0.71s % Output : Proof 0.71s % Verified : % SZS Type : None (Parsing solution fails) % Syntax : Number of formulae : 0 % Comments : %------------------------------------------------------------------------------ %----ERROR: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % % Problem : SYN390^4 : TPTP v6.1.0. Released v4.0.0. % % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p % % Computer : n116.star.cs.uiowa.edu % % Model : x86_64 x86_64 % % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz % % Memory : 32286.75MB % % OS : Linux 2.6.32-431.20.3.el6.x86_64 % % CPULimit : 300 % % DateTime : Thu Jul 17 09:35:26 CDT 2014 % % CPUTime: 0.71 % Python 2.7.5 % Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/'] % Failed to open /home/cristobal/cocATP/CASC/TPTP/Axioms/LCL010^0.ax, trying next directory % FOF formula (<kernel.Constant object at 0xc08290>, <kernel.DependentProduct object at 0xe7f2d8>) of role type named irel_type % Using role type % Declaring irel:(fofType->(fofType->Prop)) % FOF formula (forall (X:fofType), ((irel X) X)) of role axiom named refl_axiom % A new axiom: (forall (X:fofType), ((irel X) X)) % 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 % A new axiom: (forall (X:fofType) (Y:fofType) (Z:fofType), (((and ((irel X) Y)) ((irel Y) Z))->((irel X) Z))) % FOF formula (<kernel.Constant object at 0xc084d0>, <kernel.DependentProduct object at 0xe7fa70>) of role type named mnot_decl_type % Using role type % Declaring mnot:((fofType->Prop)->(fofType->Prop)) % FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) mnot) (fun (X:(fofType->Prop)) (U:fofType)=> ((X U)->False))) of role definition named mnot % A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) mnot) (fun (X:(fofType->Prop)) (U:fofType)=> ((X U)->False))) % Defined: mnot:=(fun (X:(fofType->Prop)) (U:fofType)=> ((X U)->False)) % FOF formula (<kernel.Constant object at 0xe7fa70>, <kernel.DependentProduct object at 0xe7f878>) of role type named mor_decl_type % Using role type % Declaring mor:((fofType->Prop)->((fofType->Prop)->(fofType->Prop))) % 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 % 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)))) % Defined: mor:=(fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (U:fofType)=> ((or (X U)) (Y U))) % FOF formula (<kernel.Constant object at 0xe7fab8>, <kernel.DependentProduct object at 0xe7fb48>) of role type named mand_decl_type % Using role type % Declaring mand:((fofType->Prop)->((fofType->Prop)->(fofType->Prop))) % 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 % 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)))) % Defined: mand:=(fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (U:fofType)=> ((and (X U)) (Y U))) % FOF formula (<kernel.Constant object at 0xe7f368>, <kernel.DependentProduct object at 0xe7fa70>) of role type named mimplies_decl_type % Using role type % Declaring mimplies:((fofType->Prop)->((fofType->Prop)->(fofType->Prop))) % 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 % A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplies) (fun (U:(fofType->Prop)) (V:(fofType->Prop))=> ((mor (mnot U)) V))) % Defined: mimplies:=(fun (U:(fofType->Prop)) (V:(fofType->Prop))=> ((mor (mnot U)) V)) % FOF formula (<kernel.Constant object at 0xe7f368>, <kernel.DependentProduct object at 0xe7fb48>) of role type named mbox_s4_decl_type % Using role type % Declaring mbox_s4:((fofType->Prop)->(fofType->Prop)) % 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 % A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) mbox_s4) (fun (P:(fofType->Prop)) (X:fofType)=> (forall (Y:fofType), (((irel X) Y)->(P Y))))) % Defined: mbox_s4:=(fun (P:(fofType->Prop)) (X:fofType)=> (forall (Y:fofType), (((irel X) Y)->(P Y)))) % FOF formula (<kernel.Constant object at 0xe7f680>, <kernel.DependentProduct object at 0xc286c8>) of role type named iatom_type % Using role type % Declaring iatom:((fofType->Prop)->(fofType->Prop)) % FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) iatom) (fun (P:(fofType->Prop))=> P)) of role definition named iatom % A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) iatom) (fun (P:(fofType->Prop))=> P)) % Defined: iatom:=(fun (P:(fofType->Prop))=> P) % FOF formula (<kernel.Constant object at 0xe7f908>, <kernel.DependentProduct object at 0xc28518>) of role type named inot_type % Using role type % Declaring inot:((fofType->Prop)->(fofType->Prop)) % FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) inot) (fun (P:(fofType->Prop))=> (mnot (mbox_s4 P)))) of role definition named inot % A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) inot) (fun (P:(fofType->Prop))=> (mnot (mbox_s4 P)))) % Defined: inot:=(fun (P:(fofType->Prop))=> (mnot (mbox_s4 P))) % FOF formula (<kernel.Constant object at 0xe7f098>, <kernel.DependentProduct object at 0xc28758>) of role type named itrue_type % Using role type % Declaring itrue:(fofType->Prop) % FOF formula (((eq (fofType->Prop)) itrue) (fun (W:fofType)=> True)) of role definition named itrue % A new definition: (((eq (fofType->Prop)) itrue) (fun (W:fofType)=> True)) % Defined: itrue:=(fun (W:fofType)=> True) % FOF formula (<kernel.Constant object at 0xc28758>, <kernel.DependentProduct object at 0xc28b90>) of role type named ifalse_type % Using role type % Declaring ifalse:(fofType->Prop) % FOF formula (((eq (fofType->Prop)) ifalse) (inot itrue)) of role definition named ifalse % A new definition: (((eq (fofType->Prop)) ifalse) (inot itrue)) % Defined: ifalse:=(inot itrue) % FOF formula (<kernel.Constant object at 0xc28518>, <kernel.DependentProduct object at 0xc282d8>) of role type named iand_type % Using role type % Declaring iand:((fofType->Prop)->((fofType->Prop)->(fofType->Prop))) % 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 % A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) iand) (fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> ((mand P) Q))) % Defined: iand:=(fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> ((mand P) Q)) % FOF formula (<kernel.Constant object at 0xc283f8>, <kernel.DependentProduct object at 0xc28638>) of role type named ior_type % Using role type % Declaring ior:((fofType->Prop)->((fofType->Prop)->(fofType->Prop))) % 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 % 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)))) % Defined: ior:=(fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> ((mor (mbox_s4 P)) (mbox_s4 Q))) % FOF formula (<kernel.Constant object at 0xc283f8>, <kernel.DependentProduct object at 0xc28710>) of role type named iimplies_type % Using role type % Declaring iimplies:((fofType->Prop)->((fofType->Prop)->(fofType->Prop))) % 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 % 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)))) % Defined: iimplies:=(fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> ((mimplies (mbox_s4 P)) (mbox_s4 Q))) % FOF formula (<kernel.Constant object at 0xc286c8>, <kernel.DependentProduct object at 0xa2a7e8>) of role type named iimplied_type % Using role type % Declaring iimplied:((fofType->Prop)->((fofType->Prop)->(fofType->Prop))) % 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 % A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) iimplied) (fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> ((iimplies Q) P))) % Defined: iimplied:=(fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> ((iimplies Q) P)) % FOF formula (<kernel.Constant object at 0xa2a878>, <kernel.DependentProduct object at 0xa2a8c0>) of role type named iequiv_type % Using role type % Declaring iequiv:((fofType->Prop)->((fofType->Prop)->(fofType->Prop))) % 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 % 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)))) % Defined: iequiv:=(fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> ((iand ((iimplies P) Q)) ((iimplies Q) P))) % FOF formula (<kernel.Constant object at 0xa2a908>, <kernel.DependentProduct object at 0xa2a4d0>) of role type named ixor_type % Using role type % Declaring ixor:((fofType->Prop)->((fofType->Prop)->(fofType->Prop))) % 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 % A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) ixor) (fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> (inot ((iequiv P) Q)))) % Defined: ixor:=(fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> (inot ((iequiv P) Q))) % FOF formula (<kernel.Constant object at 0xa2a878>, <kernel.DependentProduct object at 0xa2aa70>) of role type named ivalid_type % Using role type % Declaring ivalid:((fofType->Prop)->Prop) % FOF formula (((eq ((fofType->Prop)->Prop)) ivalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W)))) of role definition named ivalid % A new definition: (((eq ((fofType->Prop)->Prop)) ivalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W)))) % Defined: ivalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W))) % FOF formula (<kernel.Constant object at 0xa2a908>, <kernel.DependentProduct object at 0xa2a7a0>) of role type named isatisfiable_type % Using role type % Declaring isatisfiable:((fofType->Prop)->Prop) % FOF formula (((eq ((fofType->Prop)->Prop)) isatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W))))) of role definition named isatisfiable % A new definition: (((eq ((fofType->Prop)->Prop)) isatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W))))) % Defined: isatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W)))) % FOF formula (<kernel.Constant object at 0xa2aa70>, <kernel.DependentProduct object at 0xa2a758>) of role type named icountersatisfiable_type % Using role type % Declaring icountersatisfiable:((fofType->Prop)->Prop) % FOF formula (((eq ((fofType->Prop)->Prop)) icountersatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False))))) of role definition named icountersatisfiable % A new definition: (((eq ((fofType->Prop)->Prop)) icountersatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False))))) % Defined: icountersatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False)))) % FOF formula (<kernel.Constant object at 0xa2a908>, <kernel.DependentProduct object at 0xa2abd8>) of role type named iinvalid_type % Using role type % Declaring iinvalid:((fofType->Prop)->Prop) % FOF formula (((eq ((fofType->Prop)->Prop)) iinvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False)))) of role definition named iinvalid % A new definition: (((eq ((fofType->Prop)->Prop)) iinvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False)))) % Defined: iinvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False))) % FOF formula (<kernel.Constant object at 0xa45830>, <kernel.DependentProduct object at 0xa45758>) of role type named p_type % Using role type % Declaring p:(fofType->Prop) % FOF formula (ivalid ((iequiv (iatom p)) (iatom p))) of role conjecture named pel11 % Conjecture to prove = (ivalid ((iequiv (iatom p)) (iatom p))):Prop % Parameter fofType_DUMMY:fofType. % We need to prove ['(ivalid ((iequiv (iatom p)) (iatom p)))'] % Parameter fofType:Type. % Parameter irel:(fofType->(fofType->Prop)). % Axiom refl_axiom:(forall (X:fofType), ((irel X) X)). % Axiom trans_axiom:(forall (X:fofType) (Y:fofType) (Z:fofType), (((and ((irel X) Y)) ((irel Y) Z))->((irel X) Z))). % Definition mnot:=(fun (X:(fofType->Prop)) (U:fofType)=> ((X U)->False)):((fofType->Prop)->(fofType->Prop)). % Definition mor:=(fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (U:fofType)=> ((or (X U)) (Y U))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))). % Definition mand:=(fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (U:fofType)=> ((and (X U)) (Y U))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))). % Definition mimplies:=(fun (U:(fofType->Prop)) (V:(fofType->Prop))=> ((mor (mnot U)) V)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))). % Definition mbox_s4:=(fun (P:(fofType->Prop)) (X:fofType)=> (forall (Y:fofType), (((irel X) Y)->(P Y)))):((fofType->Prop)->(fofType->Prop)). % Definition iatom:=(fun (P:(fofType->Prop))=> P):((fofType->Prop)->(fofType->Prop)). % Definition inot:=(fun (P:(fofType->Prop))=> (mnot (mbox_s4 P))):((fofType->Prop)->(fofType->Prop)). % Definition itrue:=(fun (W:fofType)=> True):(fofType->Prop). % Definition ifalse:=(inot itrue):(fofType->Prop). % Definition iand:=(fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> ((mand P) Q)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))). % Definition ior:=(fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> ((mor (mbox_s4 P)) (mbox_s4 Q))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))). % Definition iimplies:=(fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> ((mimplies (mbox_s4 P)) (mbox_s4 Q))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))). % Definition iimplied:=(fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> ((iimplies Q) P)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))). % Definition iequiv:=(fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> ((iand ((iimplies P) Q)) ((iimplies Q) P))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))). % Definition ixor:=(fun (P:(fofType->Prop)) (Q:(fofType->Prop))=> (inot ((iequiv P) Q))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))). % Definition ivalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W))):((fofType->Prop)->Prop). % Definition isatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W)))):((fofType->Prop)->Prop). % Definition icountersatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False)))):((fofType->Prop)->Prop). % Definition iinvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False))):((fofType->Prop)->Prop). % Parameter p:(fofType->Prop). % Trying to prove (ivalid ((iequiv (iatom p)) (iatom p))) % Found classic0:=(classic ((mbox_s4 (iatom p)) W)):((or ((mbox_s4 (iatom p)) W)) (not ((mbox_s4 (iatom p)) W))) % Found (classic ((mbox_s4 (iatom p)) W)) as proof of ((or ((mbox_s4 (iatom p)) W)) ((mnot (mbox_s4 (iatom p))) W)) % Found (classic ((mbox_s4 (iatom p)) W)) as proof of ((or ((mbox_s4 (iatom p)) W)) ((mnot (mbox_s4 (iatom p))) W)) % Found (or_comm_i00 (classic ((mbox_s4 (iatom p)) W))) as proof of ((or ((mnot (mbox_s4 (iatom p))) W)) ((mbox_s4 (iatom p)) W)) % Found ((or_comm_i0 ((mnot (mbox_s4 (iatom p))) W)) (classic ((mbox_s4 (iatom p)) W))) as proof of ((or ((mnot (mbox_s4 (iatom p))) W)) ((mbox_s4 (iatom p)) W)) % Found (((or_comm_i ((mbox_s4 (iatom p)) W)) ((mnot (mbox_s4 (iatom p))) W)) (classic ((mbox_s4 (iatom p)) W))) as proof of ((or ((mnot (mbox_s4 (iatom p))) W)) ((mbox_s4 (iatom p)) W)) % Found (((or_comm_i ((mbox_s4 (iatom p)) W)) ((mnot (mbox_s4 (iatom p))) W)) (classic ((mbox_s4 (iatom p)) W))) as proof of ((or ((mnot (mbox_s4 (iatom p))) W)) ((mbox_s4 (iatom p)) W)) % Found (((or_comm_i ((mbox_s4 (iatom p)) W)) ((mnot (mbox_s4 (iatom p))) W)) (classic ((mbox_s4 (iatom p)) W))) as proof of (((iimplies (iatom p)) (iatom p)) W) % Found classic0:=(classic ((mbox_s4 (iatom p)) W)):((or ((mbox_s4 (iatom p)) W)) (not ((mbox_s4 (iatom p)) W))) % Found (classic ((mbox_s4 (iatom p)) W)) as proof of ((or ((mbox_s4 (iatom p)) W)) ((mnot (mbox_s4 (iatom p))) W)) % Found (classic ((mbox_s4 (iatom p)) W)) as proof of ((or ((mbox_s4 (iatom p)) W)) ((mnot (mbox_s4 (iatom p))) W)) % Found (or_comm_i00 (classic ((mbox_s4 (iatom p)) W))) as proof of ((or ((mnot (mbox_s4 (iatom p))) W)) ((mbox_s4 (iatom p)) W)) % Found ((or_comm_i0 ((mnot (mbox_s4 (iatom p))) W)) (classic ((mbox_s4 (iatom p)) W))) as proof of ((or ((mnot (mbox_s4 (iatom p))) W)) ((mbox_s4 (iatom p)) W)) % Found (((or_comm_i ((mbox_s4 (iatom p)) W)) ((mnot (mbox_s4 (iatom p))) W)) (classic ((mbox_s4 (iatom p)) W))) as proof of ((or ((mnot (mbox_s4 (iatom p))) W)) ((mbox_s4 (iatom p)) W)) % Found (((or_comm_i ((mbox_s4 (iatom p)) W)) ((mnot (mbox_s4 (iatom p))) W)) (classic ((mbox_s4 (iatom p)) W))) as proof of ((or ((mnot (mbox_s4 (iatom p))) W)) ((mbox_s4 (iatom p)) W)) % Found (((or_comm_i ((mbox_s4 (iatom p)) W)) ((mnot (mbox_s4 (iatom p))) W)) (classic ((mbox_s4 (iatom p)) W))) as proof of (((iimplies (iatom p)) (iatom p)) W) % Found ((conj00 (((or_comm_i ((mbox_s4 (iatom p)) W)) ((mnot (mbox_s4 (iatom p))) W)) (classic ((mbox_s4 (iatom p)) W)))) (((or_comm_i ((mbox_s4 (iatom p)) W)) ((mnot (mbox_s4 (iatom p))) W)) (classic ((mbox_s4 (iatom p)) W)))) as proof of ((and (((iimplies (iatom p)) (iatom p)) W)) (((iimplies (iatom p)) (iatom p)) W)) % Found (((conj0 (((iimplies (iatom p)) (iatom p)) W)) (((or_comm_i ((mbox_s4 (iatom p)) W)) ((mnot (mbox_s4 (iatom p))) W)) (classic ((mbox_s4 (iatom p)) W)))) (((or_comm_i ((mbox_s4 (iatom p)) W)) ((mnot (mbox_s4 (iatom p))) W)) (classic ((mbox_s4 (iatom p)) W)))) as proof of ((and (((iimplies (iatom p)) (iatom p)) W)) (((iimplies (iatom p)) (iatom p)) W)) % Found ((((conj (((iimplies (iatom p)) (iatom p)) W)) (((iimplies (iatom p)) (iatom p)) W)) (((or_comm_i ((mbox_s4 (iatom p)) W)) ((mnot (mbox_s4 (iatom p))) W)) (classic ((mbox_s4 (iatom p)) W)))) (((or_comm_i ((mbox_s4 (iatom p)) W)) ((mnot (mbox_s4 (iatom p))) W)) (classic ((mbox_s4 (iatom p)) W)))) as proof of ((and (((iimplies (iatom p)) (iatom p)) W)) (((iimplies (iatom p)) (iatom p)) W)) % Found ((((conj (((iimplies (iatom p)) (iatom p)) W)) (((iimplies (iatom p)) (iatom p)) W)) (((or_comm_i ((mbox_s4 (iatom p)) W)) ((mnot (mbox_s4 (iatom p))) W)) (classic ((mbox_s4 (iatom p)) W)))) (((or_comm_i ((mbox_s4 (iatom p)) W)) ((mnot (mbox_s4 (iatom p))) W)) (classic ((mbox_s4 (iatom p)) W)))) as proof of ((and (((iimplies (iatom p)) (iatom p)) W)) (((iimplies (iatom p)) (iatom p)) W)) % Found (fun (W:fofType)=> ((((conj (((iimplies (iatom p)) (iatom p)) W)) (((iimplies (iatom p)) (iatom p)) W)) (((or_comm_i ((mbox_s4 (iatom p)) W)) ((mnot (mbox_s4 (iatom p))) W)) (classic ((mbox_s4 (iatom p)) W)))) (((or_comm_i ((mbox_s4 (iatom p)) W)) ((mnot (mbox_s4 (iatom p))) W)) (classic ((mbox_s4 (iatom p)) W))))) as proof of (((iequiv (iatom p)) (iatom p)) W) % Found (fun (W:fofType)=> ((((conj (((iimplies (iatom p)) (iatom p)) W)) (((iimplies (iatom p)) (iatom p)) W)) (((or_comm_i ((mbox_s4 (iatom p)) W)) ((mnot (mbox_s4 (iatom p))) W)) (classic ((mbox_s4 (iatom p)) W)))) (((or_comm_i ((mbox_s4 (iatom p)) W)) ((mnot (mbox_s4 (iatom p))) W)) (classic ((mbox_s4 (iatom p)) W))))) as proof of (ivalid ((iequiv (iatom p)) (iatom p))) % Got proof (fun (W:fofType)=> ((((conj (((iimplies (iatom p)) (iatom p)) W)) (((iimplies (iatom p)) (iatom p)) W)) (((or_comm_i ((mbox_s4 (iatom p)) W)) ((mnot (mbox_s4 (iatom p))) W)) (classic ((mbox_s4 (iatom p)) W)))) (((or_comm_i ((mbox_s4 (iatom p)) W)) ((mnot (mbox_s4 (iatom p))) W)) (classic ((mbox_s4 (iatom p)) W))))) % Time elapsed = 0.360101s % node=55 cost=2365.000000 depth=12 % :::::::::::::::::::::: % % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p % (fun (W:fofType)=> ((((conj (((iimplies (iatom p)) (iatom p)) W)) (((iimplies (iatom p)) (iatom p)) W)) (((or_comm_i ((mbox_s4 (iatom p)) W)) ((mnot (mbox_s4 (iatom p))) W)) (classic ((mbox_s4 (iatom p)) W)))) (((or_comm_i ((mbox_s4 (iatom p)) W)) ((mnot (mbox_s4 (iatom p))) W)) (classic ((mbox_s4 (iatom p)) W))))) % % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p % EOF %------------------------------------------------------------------------------