%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : KRS076+1 : TPTP v8.1.0. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n020.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 : 600s % DateTime : Sun Jul 17 03:39:23 EDT 2022 % Result : Unsatisfiable 35.73s 35.94s % Output : Proof 35.73s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KRS076+1 : TPTP v8.1.0. Released v3.1.0. % 0.12/0.12 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n020.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Tue Jun 7 13:31:06 EDT 2022 % 0.12/0.33 % CPUTime : % 35.73/35.94 (* PROOF-FOUND *) % 35.73/35.94 % SZS status Unsatisfiable % 35.73/35.94 (* BEGIN-PROOF *) % 35.73/35.94 % SZS output start Proof % 35.73/35.94 Theorem zenon_thm : False. % 35.73/35.94 Proof. % 35.73/35.94 assert (zenon_L1_ : (~((i2003_11_14_17_19_06193) = (i2003_11_14_17_19_06193))) -> False). % 35.73/35.94 do 0 intro. intros zenon_H1e. % 35.73/35.94 apply zenon_H1e. apply refl_equal. % 35.73/35.94 (* end of lemma zenon_L1_ *) % 35.73/35.94 assert (zenon_L2_ : forall (zenon_TY_bh : zenon_U), (rf1 (i2003_11_14_17_19_06193) zenon_TY_bh) -> (~(rinvF1 zenon_TY_bh (i2003_11_14_17_19_06193))) -> False). % 35.73/35.94 do 1 intro. intros zenon_H1f zenon_H20. % 35.73/35.94 generalize (axiom_6 zenon_TY_bh). zenon_intro zenon_H22. % 35.73/35.94 generalize (zenon_H22 (i2003_11_14_17_19_06193)). zenon_intro zenon_H23. % 35.73/35.94 apply (zenon_equiv_s _ _ zenon_H23); [ zenon_intro zenon_H20; zenon_intro zenon_H25 | zenon_intro zenon_H24; zenon_intro zenon_H1f ]. % 35.73/35.94 exact (zenon_H25 zenon_H1f). % 35.73/35.94 exact (zenon_H20 zenon_H24). % 35.73/35.94 (* end of lemma zenon_L2_ *) % 35.73/35.94 assert (zenon_L3_ : forall (zenon_TW_bq : zenon_U) (zenon_TY_bh : zenon_U), (forall Z : zenon_U, (((rf1 (i2003_11_14_17_19_06193) zenon_TY_bh)/\(rf1 (i2003_11_14_17_19_06193) Z))->(zenon_TY_bh = Z))) -> (rf1 (i2003_11_14_17_19_06193) zenon_TY_bh) -> (~(rs (i2003_11_14_17_19_06193) zenon_TY_bh)) -> (rs (i2003_11_14_17_19_06193) zenon_TW_bq) -> (forall Y : zenon_U, ((rs (i2003_11_14_17_19_06193) Y)->(rf1 (i2003_11_14_17_19_06193) Y))) -> False). % 35.73/35.94 do 2 intro. intros zenon_H26 zenon_H1f zenon_H27 zenon_H28 zenon_H29. % 35.73/35.94 generalize (rs_substitution_2 zenon_TW_bq). zenon_intro zenon_H2b. % 35.73/35.94 generalize (zenon_H29 zenon_TW_bq). zenon_intro zenon_H2c. % 35.73/35.94 apply (zenon_imply_s _ _ zenon_H2c); [ zenon_intro zenon_H2e | zenon_intro zenon_H2d ]. % 35.73/35.94 exact (zenon_H2e zenon_H28). % 35.73/35.94 generalize (zenon_H2b zenon_TY_bh). zenon_intro zenon_H2f. % 35.73/35.94 generalize (zenon_H26 zenon_TW_bq). zenon_intro zenon_H30. % 35.73/35.94 apply (zenon_imply_s _ _ zenon_H30); [ zenon_intro zenon_H32 | zenon_intro zenon_H31 ]. % 35.73/35.94 apply (zenon_notand_s _ _ zenon_H32); [ zenon_intro zenon_H25 | zenon_intro zenon_H33 ]. % 35.73/35.94 exact (zenon_H25 zenon_H1f). % 35.73/35.94 exact (zenon_H33 zenon_H2d). % 35.73/35.94 generalize (zenon_H2f (i2003_11_14_17_19_06193)). zenon_intro zenon_H34. % 35.73/35.94 apply (zenon_imply_s _ _ zenon_H34); [ zenon_intro zenon_H36 | zenon_intro zenon_H35 ]. % 35.73/35.94 apply (zenon_notand_s _ _ zenon_H36); [ zenon_intro zenon_H37 | zenon_intro zenon_H2e ]. % 35.73/35.94 apply zenon_H37. apply sym_equal. exact zenon_H31. % 35.73/35.94 exact (zenon_H2e zenon_H28). % 35.73/35.94 exact (zenon_H27 zenon_H35). % 35.73/35.94 (* end of lemma zenon_L3_ *) % 35.73/35.94 assert (zenon_L4_ : forall (zenon_TY_bh : zenon_U), (exists W : zenon_U, ((rs (i2003_11_14_17_19_06193) W)/\(cowlThing W))) -> (forall Y : zenon_U, ((rs (i2003_11_14_17_19_06193) Y)->(rf (i2003_11_14_17_19_06193) Y))) -> (forall Z : zenon_U, (((rf1 (i2003_11_14_17_19_06193) zenon_TY_bh)/\(rf1 (i2003_11_14_17_19_06193) Z))->(zenon_TY_bh = Z))) -> (rf1 (i2003_11_14_17_19_06193) zenon_TY_bh) -> (forall Y : zenon_U, ((rs (i2003_11_14_17_19_06193) Y)->(rf1 (i2003_11_14_17_19_06193) Y))) -> (~(rf (i2003_11_14_17_19_06193) zenon_TY_bh)) -> False). % 35.73/35.94 do 1 intro. intros zenon_H38 zenon_H39 zenon_H26 zenon_H1f zenon_H29 zenon_H3a. % 35.73/35.94 elim zenon_H38. zenon_intro zenon_TW_bq. zenon_intro zenon_H3b. % 35.73/35.94 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H28. zenon_intro zenon_H3c. % 35.73/35.94 generalize (zenon_H39 zenon_TY_bh). zenon_intro zenon_H3d. % 35.73/35.94 apply (zenon_imply_s _ _ zenon_H3d); [ zenon_intro zenon_H27 | zenon_intro zenon_H3e ]. % 35.73/35.94 apply (zenon_L3_ zenon_TW_bq zenon_TY_bh); trivial. % 35.73/35.94 exact (zenon_H3a zenon_H3e). % 35.73/35.94 (* end of lemma zenon_L4_ *) % 35.73/35.94 assert (zenon_L5_ : forall (zenon_TY_bh : zenon_U), (~(rf (i2003_11_14_17_19_06193) zenon_TY_bh)) -> (forall Z : zenon_U, (((rf1 (i2003_11_14_17_19_06193) zenon_TY_bh)/\(rf1 (i2003_11_14_17_19_06193) Z))->(zenon_TY_bh = Z))) -> (forall Y : zenon_U, ((rs (i2003_11_14_17_19_06193) Y)->(rf (i2003_11_14_17_19_06193) Y))) -> (rf1 (i2003_11_14_17_19_06193) zenon_TY_bh) -> (forall Z : zenon_U, ((rinvF1 zenon_TY_bh Z)->(exists W : zenon_U, ((rs Z W)/\(cowlThing W))))) -> False). % 35.73/35.94 do 1 intro. intros zenon_H3a zenon_H26 zenon_H39 zenon_H1f zenon_H3f. % 35.73/35.94 generalize (axiom_10 (i2003_11_14_17_19_06193)). zenon_intro zenon_H29. % 35.73/35.94 generalize (zenon_H3f (i2003_11_14_17_19_06193)). zenon_intro zenon_H40. % 35.73/35.94 apply (zenon_imply_s _ _ zenon_H40); [ zenon_intro zenon_H20 | zenon_intro zenon_H38 ]. % 35.73/35.95 apply (zenon_L2_ zenon_TY_bh); trivial. % 35.73/35.95 apply (zenon_L4_ zenon_TY_bh); trivial. % 35.73/35.95 (* end of lemma zenon_L5_ *) % 35.73/35.95 assert (zenon_L6_ : forall (zenon_TY_bh : zenon_U), (forall Z : zenon_U, ((rinvF1 zenon_TY_bh Z)->(exists W : zenon_U, ((rs Z W)/\(cowlThing W))))) -> (rf1 (i2003_11_14_17_19_06193) zenon_TY_bh) -> (forall Z : zenon_U, (((rf1 (i2003_11_14_17_19_06193) zenon_TY_bh)/\(rf1 (i2003_11_14_17_19_06193) Z))->(zenon_TY_bh = Z))) -> (~(rf (i2003_11_14_17_19_06193) zenon_TY_bh)) -> False). % 35.73/35.95 do 1 intro. intros zenon_H3f zenon_H1f zenon_H26 zenon_H3a. % 35.73/35.95 generalize (axiom_11 (i2003_11_14_17_19_06193)). zenon_intro zenon_H39. % 35.73/35.95 apply (zenon_L5_ zenon_TY_bh); trivial. % 35.73/35.95 (* end of lemma zenon_L6_ *) % 35.73/35.95 generalize (axiom_2 (i2003_11_14_17_19_06193)). zenon_intro zenon_H41. % 35.73/35.95 apply (zenon_equiv_s _ _ zenon_H41); [ zenon_intro zenon_H44; zenon_intro zenon_H43 | zenon_intro axiom_9; zenon_intro zenon_H42 ]. % 35.73/35.95 exact (zenon_H44 axiom_9). % 35.73/35.95 apply (zenon_and_s _ _ zenon_H42). zenon_intro zenon_H46. zenon_intro zenon_H45. % 35.73/35.95 elim zenon_H46. zenon_intro zenon_TY_ct. zenon_intro zenon_H48. % 35.73/35.95 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H4a. zenon_intro zenon_H49. % 35.73/35.95 elim zenon_H45. zenon_intro zenon_TY_bh. zenon_intro zenon_H4b. % 35.73/35.95 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H1f. zenon_intro zenon_H4c. % 35.73/35.95 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H4d. zenon_intro zenon_H3f. % 35.73/35.95 generalize (axiom_4 (i2003_11_14_17_19_06193)). zenon_intro zenon_H4e. % 35.73/35.95 generalize (zenon_H4e zenon_TY_bh). zenon_intro zenon_H26. % 35.73/35.95 generalize (rinvF_substitution_2 (i2003_11_14_17_19_06193)). zenon_intro zenon_H4f. % 35.73/35.95 generalize (axiom_3 (i2003_11_14_17_19_06193)). zenon_intro zenon_H50. % 35.73/35.95 cut ((cp zenon_TY_ct) = (cp zenon_TY_bh)). % 35.73/35.95 intro zenon_D_pnotp. % 35.73/35.95 apply zenon_H4d. % 35.73/35.95 rewrite <- zenon_D_pnotp. % 35.73/35.95 exact zenon_H49. % 35.73/35.95 cut ((zenon_TY_ct = zenon_TY_bh)); [idtac | apply NNPP; zenon_intro zenon_H51]. % 35.73/35.95 congruence. % 35.73/35.95 generalize (zenon_H50 zenon_TY_ct). zenon_intro zenon_H52. % 35.73/35.95 generalize (zenon_H4f (i2003_11_14_17_19_06193)). zenon_intro zenon_H53. % 35.73/35.95 generalize (zenon_H53 zenon_TY_bh). zenon_intro zenon_H54. % 35.73/35.95 apply (zenon_imply_s _ _ zenon_H54); [ zenon_intro zenon_H56 | zenon_intro zenon_H55 ]. % 35.73/35.95 apply (zenon_notand_s _ _ zenon_H56); [ zenon_intro zenon_H1e | zenon_intro zenon_H57 ]. % 35.73/35.95 apply zenon_H1e. apply refl_equal. % 35.73/35.95 generalize (axiom_5 zenon_TY_bh). zenon_intro zenon_H58. % 35.73/35.95 generalize (zenon_H58 (i2003_11_14_17_19_06193)). zenon_intro zenon_H59. % 35.73/35.95 apply (zenon_equiv_s _ _ zenon_H59); [ zenon_intro zenon_H57; zenon_intro zenon_H3a | zenon_intro zenon_H55; zenon_intro zenon_H3e ]. % 35.73/35.95 apply (zenon_L6_ zenon_TY_bh); trivial. % 35.73/35.95 exact (zenon_H57 zenon_H55). % 35.73/35.95 generalize (axiom_5 zenon_TY_bh). zenon_intro zenon_H58. % 35.73/35.95 generalize (zenon_H58 (i2003_11_14_17_19_06193)). zenon_intro zenon_H59. % 35.73/35.95 apply (zenon_equiv_s _ _ zenon_H59); [ zenon_intro zenon_H57; zenon_intro zenon_H3a | zenon_intro zenon_H55; zenon_intro zenon_H3e ]. % 35.73/35.95 exact (zenon_H57 zenon_H55). % 35.73/35.95 generalize (zenon_H52 zenon_TY_bh). zenon_intro zenon_H5a. % 35.73/35.95 apply (zenon_imply_s _ _ zenon_H5a); [ zenon_intro zenon_H5c | zenon_intro zenon_H5b ]. % 35.73/35.95 apply (zenon_notand_s _ _ zenon_H5c); [ zenon_intro zenon_H5d | zenon_intro zenon_H3a ]. % 35.73/35.95 exact (zenon_H5d zenon_H4a). % 35.73/35.95 exact (zenon_H3a zenon_H3e). % 35.73/35.95 exact (zenon_H51 zenon_H5b). % 35.73/35.95 Qed. % 35.73/35.95 % SZS output end Proof % 35.73/35.95 (* END-PROOF *) % 35.73/35.95 nodes searched: 1373226 % 35.73/35.95 max branch formulas: 28649 % 35.73/35.95 proof nodes created: 30205 % 35.73/35.95 formulas created: 2745936 % 35.73/35.95 %------------------------------------------------------------------------------