%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : KRS196+1 : TPTP v8.1.0. Bugfixed v5.4.0. % Transfm : none % Format : tptp:raw % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % Computer : n022.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 03:32:10 EDT 2022 % Result : Theorem 2.56s 2.75s % Output : Proof 2.56s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.11 % Problem : KRS196+1 : TPTP v8.1.0. Bugfixed v5.4.0. % 0.06/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.12/0.33 % Computer : n022.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 13:33:50 EDT 2022 % 0.12/0.33 % CPUTime : % 2.56/2.75 % SZS status Theorem % 2.56/2.75 (* PROOF-FOUND *) % 2.56/2.75 (* BEGIN-PROOF *) % 2.56/2.75 % SZS output start Proof % 2.56/2.75 1. (status T_0 T_1 (wca)) (-. (status T_0 T_1 (wca))) ### Axiom % 2.56/2.75 2. (Ex I1, (model I1 T_0)) (-. (Ex I1, (model I1 T_0))) ### Axiom % 2.56/2.75 3. ((-. (Ex I1, (model I1 T_0))) /\ ((Ex I2, (model I2 T_1)) /\ (Ex I4, (-. (model I4 T_1))))) (Ex I1, (model I1 T_0)) ### ConjTree 2 % 2.56/2.75 4. (((-. (Ex I1, (model I1 T_0))) /\ ((Ex I2, (model I2 T_1)) /\ (Ex I4, (-. (model I4 T_1))))) <=> (status T_0 T_1 (wca))) (Ex I1, (model I1 T_0)) (status T_0 T_1 (wca)) ### Equiv 1 3 % 2.56/2.75 5. (All C, (((-. (Ex I1, (model I1 T_0))) /\ ((Ex I2, (model I2 C)) /\ (Ex I4, (-. (model I4 C))))) <=> (status T_0 C (wca)))) (status T_0 T_1 (wca)) (Ex I1, (model I1 T_0)) ### All 4 % 2.56/2.75 6. (All Ax, (All C, (((-. (Ex I1, (model I1 Ax))) /\ ((Ex I2, (model I2 C)) /\ (Ex I4, (-. (model I4 C))))) <=> (status Ax C (wca))))) (Ex I1, (model I1 T_0)) (status T_0 T_1 (wca)) ### All 5 % 2.56/2.75 7. (-. (-. (Ex I1, (model I1 T_0)))) (status T_0 T_1 (wca)) (All Ax, (All C, (((-. (Ex I1, (model I1 Ax))) /\ ((Ex I2, (model I2 C)) /\ (Ex I4, (-. (model I4 C))))) <=> (status Ax C (wca))))) ### NotNot 6 % 2.56/2.75 8. (model T_2 T_0) (-. (model T_2 T_0)) ### Axiom % 2.56/2.75 9. (-. (Ex I1, (model I1 T_0))) (model T_2 T_0) ### NotExists 8 % 2.56/2.75 10. ((-. (Ex I1, (model I1 T_0))) <=> (status T_0 zenon_X3 (cax))) (model T_2 T_0) (All Ax, (All C, (((-. (Ex I1, (model I1 Ax))) /\ ((Ex I2, (model I2 C)) /\ (Ex I4, (-. (model I4 C))))) <=> (status Ax C (wca))))) (status T_0 T_1 (wca)) ### Equiv 7 9 % 2.56/2.75 11. (All C, ((-. (Ex I1, (model I1 T_0))) <=> (status T_0 C (cax)))) (status T_0 T_1 (wca)) (All Ax, (All C, (((-. (Ex I1, (model I1 Ax))) /\ ((Ex I2, (model I2 C)) /\ (Ex I4, (-. (model I4 C))))) <=> (status Ax C (wca))))) (model T_2 T_0) ### All 10 % 2.56/2.75 12. (All Ax, (All C, ((-. (Ex I1, (model I1 Ax))) <=> (status Ax C (cax))))) (model T_2 T_0) (All Ax, (All C, (((-. (Ex I1, (model I1 Ax))) /\ ((Ex I2, (model I2 C)) /\ (Ex I4, (-. (model I4 C))))) <=> (status Ax C (wca))))) (status T_0 T_1 (wca)) ### All 11 % 2.56/2.75 13. (-. ((model T_2 T_0) => (model T_2 T_1))) (status T_0 T_1 (wca)) (All Ax, (All C, (((-. (Ex I1, (model I1 Ax))) /\ ((Ex I2, (model I2 C)) /\ (Ex I4, (-. (model I4 C))))) <=> (status Ax C (wca))))) (All Ax, (All C, ((-. (Ex I1, (model I1 Ax))) <=> (status Ax C (cax))))) ### NotImply 12 % 2.56/2.75 14. (-. (All I1, ((model I1 T_0) => (model I1 T_1)))) (All Ax, (All C, ((-. (Ex I1, (model I1 Ax))) <=> (status Ax C (cax))))) (All Ax, (All C, (((-. (Ex I1, (model I1 Ax))) /\ ((Ex I2, (model I2 C)) /\ (Ex I4, (-. (model I4 C))))) <=> (status Ax C (wca))))) (status T_0 T_1 (wca)) ### NotAllEx 13 % 2.56/2.75 15. (-. (status T_0 T_1 (thm))) (status T_0 T_1 (thm)) ### Axiom % 2.56/2.75 16. ((All I1, ((model I1 T_0) => (model I1 T_1))) <=> (status T_0 T_1 (thm))) (-. (status T_0 T_1 (thm))) (status T_0 T_1 (wca)) (All Ax, (All C, (((-. (Ex I1, (model I1 Ax))) /\ ((Ex I2, (model I2 C)) /\ (Ex I4, (-. (model I4 C))))) <=> (status Ax C (wca))))) (All Ax, (All C, ((-. (Ex I1, (model I1 Ax))) <=> (status Ax C (cax))))) ### Equiv 14 15 % 2.56/2.75 17. (All C, ((All I1, ((model I1 T_0) => (model I1 C))) <=> (status T_0 C (thm)))) (All Ax, (All C, ((-. (Ex I1, (model I1 Ax))) <=> (status Ax C (cax))))) (All Ax, (All C, (((-. (Ex I1, (model I1 Ax))) /\ ((Ex I2, (model I2 C)) /\ (Ex I4, (-. (model I4 C))))) <=> (status Ax C (wca))))) (status T_0 T_1 (wca)) (-. (status T_0 T_1 (thm))) ### All 16 % 2.56/2.75 18. (All Ax, (All C, ((All I1, ((model I1 Ax) => (model I1 C))) <=> (status Ax C (thm))))) (-. (status T_0 T_1 (thm))) (status T_0 T_1 (wca)) (All Ax, (All C, (((-. (Ex I1, (model I1 Ax))) /\ ((Ex I2, (model I2 C)) /\ (Ex I4, (-. (model I4 C))))) <=> (status Ax C (wca))))) (All Ax, (All C, ((-. (Ex I1, (model I1 Ax))) <=> (status Ax C (cax))))) ### All 17 % 2.56/2.75 19. (-. ((status T_0 T_1 (wca)) => (status T_0 T_1 (thm)))) (All Ax, (All C, ((-. (Ex I1, (model I1 Ax))) <=> (status Ax C (cax))))) (All Ax, (All C, (((-. (Ex I1, (model I1 Ax))) /\ ((Ex I2, (model I2 C)) /\ (Ex I4, (-. (model I4 C))))) <=> (status Ax C (wca))))) (All Ax, (All C, ((All I1, ((model I1 Ax) => (model I1 C))) <=> (status Ax C (thm))))) ### NotImply 18 % 2.56/2.75 20. (-. (All C, ((status T_0 C (wca)) => (status T_0 C (thm))))) (All Ax, (All C, ((All I1, ((model I1 Ax) => (model I1 C))) <=> (status Ax C (thm))))) (All Ax, (All C, (((-. (Ex I1, (model I1 Ax))) /\ ((Ex I2, (model I2 C)) /\ (Ex I4, (-. (model I4 C))))) <=> (status Ax C (wca))))) (All Ax, (All C, ((-. (Ex I1, (model I1 Ax))) <=> (status Ax C (cax))))) ### NotAllEx 19 % 2.56/2.75 21. (-. (All Ax, (All C, ((status Ax C (wca)) => (status Ax C (thm)))))) (All Ax, (All C, ((-. (Ex I1, (model I1 Ax))) <=> (status Ax C (cax))))) (All Ax, (All C, (((-. (Ex I1, (model I1 Ax))) /\ ((Ex I2, (model I2 C)) /\ (Ex I4, (-. (model I4 C))))) <=> (status Ax C (wca))))) (All Ax, (All C, ((All I1, ((model I1 Ax) => (model I1 C))) <=> (status Ax C (thm))))) ### NotAllEx 20 % 2.56/2.75 22. (-. (isa (wca) (thm))) (All Ax, (All C, ((All I1, ((model I1 Ax) => (model I1 C))) <=> (status Ax C (thm))))) (All Ax, (All C, (((-. (Ex I1, (model I1 Ax))) /\ ((Ex I2, (model I2 C)) /\ (Ex I4, (-. (model I4 C))))) <=> (status Ax C (wca))))) (All Ax, (All C, ((-. (Ex I1, (model I1 Ax))) <=> (status Ax C (cax))))) ### Definition-Pseudo(isa) 21 % 2.56/2.75 % SZS output end Proof % 2.56/2.75 (* END-PROOF *) %------------------------------------------------------------------------------