%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SEV644+1 : TPTP v9.3.0. Released v9.3.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n002.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 : 300s % DateTime : Tue May 5 06:56:07 PM UTC 2026 % Result : Theorem 0.63s 0.85s % Output : Proof 0.63s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEV644+1 : TPTP v9.3.0. Released v9.3.0. % 0.00/0.13 % Command : run_zenon %s %d % 0.15/0.34 % Computer : n002.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue May 5 07:04:46 EDT 2026 % 0.15/0.34 % CPUTime : % 0.63/0.85 Zenon warning: unused variable (Vvar__1___24Anonymous__81796 : zenon_U) in $_discrim_Coq.Bool.Bool.ReflectT$Coq.Bool.Bool.ReflectF % 0.63/0.85 Zenon warning: unused variable (Vvar__1___24Anonymous__81798 : zenon_U) in $_discrim_Coq.Bool.Bool.ReflectT$Coq.Bool.Bool.ReflectF % 0.63/0.85 Zenon warning: unused variable (Vvar__3___24Anonymous__101069 : zenon_U) in $_discrim_Coq.Init.Datatypes.CompEqT$Coq.Init.Datatypes.CompLtT % 0.63/0.85 Zenon warning: unused variable (Vvar__3___24Anonymous__101073 : zenon_U) in $_discrim_Coq.Init.Datatypes.CompEqT$Coq.Init.Datatypes.CompLtT % 0.63/0.85 Zenon warning: unused variable (Vvar__2___24Anonymous__187 : zenon_U) in $_discrim_Coq.Init.Specif.left$Coq.Init.Specif.right % 0.63/0.85 Zenon warning: unused variable (Vvar__2___24Anonymous__190 : zenon_U) in $_discrim_Coq.Init.Specif.left$Coq.Init.Specif.right % 0.63/0.85 Zenon warning: unused variable (Vvar__1___24Anonymous__81805 : zenon_U) in $_inj_Coq.Bool.Bool.ReflectF % 0.63/0.85 Zenon warning: unused variable (Vvar__1___24Anonymous__81806 : zenon_U) in $_inj_Coq.Bool.Bool.ReflectF % 0.63/0.85 Zenon warning: unused variable (Vvar__1___24Anonymous__81801 : zenon_U) in $_inj_Coq.Bool.Bool.ReflectT % 0.63/0.85 Zenon warning: unused variable (Vvar__1___24Anonymous__81802 : zenon_U) in $_inj_Coq.Bool.Bool.ReflectT % 0.63/0.85 Zenon warning: unused variable (Vvar__3___24Anonymous__101080 : zenon_U) in $_inj_Coq.Init.Datatypes.CompEqT % 0.63/0.85 Zenon warning: unused variable (Vvar__3___24Anonymous__101081 : zenon_U) in $_inj_Coq.Init.Datatypes.CompEqT % 0.63/0.85 Zenon warning: unused variable (Vvar__3___24Anonymous__101096 : zenon_U) in $_inj_Coq.Init.Datatypes.CompGtT % 0.63/0.85 Zenon warning: unused variable (Vvar__3___24Anonymous__101097 : zenon_U) in $_inj_Coq.Init.Datatypes.CompGtT % 0.63/0.85 Zenon warning: unused variable (Vvar__3___24Anonymous__101088 : zenon_U) in $_inj_Coq.Init.Datatypes.CompLtT % 0.63/0.85 Zenon warning: unused variable (Vvar__3___24Anonymous__101089 : zenon_U) in $_inj_Coq.Init.Datatypes.CompLtT % 0.63/0.85 Zenon warning: unused variable (Vvar__3___24Anonymous__76325 : zenon_U) in $_inj_Coq.Init.Specif.exist % 0.63/0.85 Zenon warning: unused variable (Vvar__3___24Anonymous__76326 : zenon_U) in $_inj_Coq.Init.Specif.exist % 0.63/0.85 Zenon warning: unused variable (Vvar__4___24Anonymous__95400 : zenon_U) in $_inj_Coq.Init.Specif.exist2 % 0.63/0.85 Zenon warning: unused variable (Vvar__4___24Anonymous__95401 : zenon_U) in $_inj_Coq.Init.Specif.exist2 % 0.63/0.85 Zenon warning: unused variable (Vvar__5___24Anonymous__95402 : zenon_U) in $_inj_Coq.Init.Specif.exist2 % 0.63/0.85 Zenon warning: unused variable (Vvar__5___24Anonymous__95403 : zenon_U) in $_inj_Coq.Init.Specif.exist2 % 0.63/0.85 Zenon warning: unused variable (Vvar__2___24Anonymous__195 : zenon_U) in $_inj_Coq.Init.Specif.left % 0.63/0.85 Zenon warning: unused variable (Vvar__2___24Anonymous__196 : zenon_U) in $_inj_Coq.Init.Specif.left % 0.63/0.85 Zenon warning: unused variable (Vvar__2___24Anonymous__201 : zenon_U) in $_inj_Coq.Init.Specif.right % 0.63/0.85 Zenon warning: unused variable (Vvar__2___24Anonymous__202 : zenon_U) in $_inj_Coq.Init.Specif.right % 0.63/0.85 (* PROOF-FOUND *) % 0.63/0.85 % SZS status Theorem % 0.63/0.85 (* BEGIN-PROOF *) % 0.63/0.85 % SZS output start Proof % 0.63/0.85 Theorem _HAMMER_GOAL : (forall V0__P : zenon_U, ((cProp___24t V0__P)->((p V0__P)<->(p V0__P)))). % 0.63/0.85 Proof. % 0.63/0.85 apply NNPP. intro zenon_G. % 0.63/0.85 apply (zenon_notallex_s (fun V0__P : zenon_U => ((cProp___24t V0__P)->((p V0__P)<->(p V0__P)))) zenon_G); [ zenon_intro zenon_H8f7; idtac ]. % 0.63/0.85 elim zenon_H8f7. zenon_intro zenon_TV0__P_dki. zenon_intro zenon_H8f9. % 0.63/0.85 apply (zenon_notimply_s _ _ zenon_H8f9). zenon_intro zenon_H8fb. zenon_intro zenon_H8fa. % 0.63/0.85 apply (zenon_notequiv_s _ _ zenon_H8fa); [ zenon_intro zenon_H8fc; zenon_intro zenon_H8fd | zenon_intro zenon_H8fd; zenon_intro zenon_H8fc ]. % 0.63/0.85 exact (zenon_H8fc zenon_H8fd). % 0.63/0.85 exact (zenon_H8fc zenon_H8fd). % 0.63/0.85 Qed. % 0.63/0.85 % SZS output end Proof % 0.63/0.85 (* END-PROOF *) % 0.63/0.85 nodes searched: 61 % 0.63/0.85 max branch formulas: 2218 % 0.63/0.85 proof nodes created: 5 % 0.63/0.85 formulas created: 54240 % 0.63/0.85 %------------------------------------------------------------------------------