%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : KRS190+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 : 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 03:32:09 EDT 2022 % Result : Theorem 16.65s 16.81s % Output : Proof 16.65s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.14 % Problem : KRS190+1 : TPTP v8.1.0. Bugfixed v5.4.0. % 0.04/0.14 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.14/0.36 % Computer : n020.cluster.edu % 0.14/0.36 % Model : x86_64 x86_64 % 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.36 % Memory : 8042.1875MB % 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.36 % CPULimit : 300 % 0.14/0.36 % WCLimit : 600 % 0.14/0.36 % DateTime : Tue Jun 7 15:06:21 EDT 2022 % 0.14/0.36 % CPUTime : % 16.65/16.81 % SZS status Theorem % 16.65/16.81 (* PROOF-FOUND *) % 16.65/16.81 (* BEGIN-PROOF *) % 16.65/16.81 % SZS output start Proof % 16.65/16.81 1. (Ex I1, (model I1 T_0)) (-. (Ex I1, (model I1 T_0))) ### Axiom % 16.65/16.81 2. (status T_1 T_2 (tau)) (-. (status T_1 T_2 (tau))) ### Axiom % 16.65/16.81 3. (-. (model T_3 T_2)) (model T_3 T_2) ### Axiom % 16.65/16.81 4. ((model T_3 T_1) /\ (model T_3 T_2)) (-. (model T_3 T_2)) ### And 3 % 16.65/16.81 5. (All I1, ((model I1 T_1) /\ (model I1 T_2))) (-. (model T_3 T_2)) ### All 4 % 16.65/16.81 6. ((All I1, ((model I1 T_1) /\ (model I1 T_2))) <=> (status T_1 T_2 (tau))) (-. (model T_3 T_2)) (status T_1 T_2 (tau)) ### Equiv 2 5 % 16.65/16.81 7. (All C, ((All I1, ((model I1 T_1) /\ (model I1 C))) <=> (status T_1 C (tau)))) (status T_1 T_2 (tau)) (-. (model T_3 T_2)) ### All 6 % 16.65/16.81 8. (-. ((model T_3 T_2) /\ (model T_3 T_2))) (status T_1 T_2 (tau)) (All C, ((All I1, ((model I1 T_1) /\ (model I1 C))) <=> (status T_1 C (tau)))) ### NotAnd 7 7 % 16.65/16.81 9. (-. (All I1, ((model I1 T_2) /\ (model I1 T_2)))) (All C, ((All I1, ((model I1 T_1) /\ (model I1 C))) <=> (status T_1 C (tau)))) (status T_1 T_2 (tau)) ### NotAllEx 8 % 16.65/16.81 10. (-. (model T_4 T_2)) (model T_4 T_2) ### Axiom % 16.65/16.81 11. ((model T_4 T_2) /\ (model T_4 T_2)) (-. (model T_4 T_2)) ### And 10 % 16.65/16.81 12. (All I1, ((model I1 T_2) /\ (model I1 T_2))) (-. (model T_4 T_2)) ### All 11 % 16.65/16.81 13. ((All I1, ((model I1 T_2) /\ (model I1 T_2))) <=> (status T_2 T_2 (tau))) (-. (model T_4 T_2)) (status T_1 T_2 (tau)) (All C, ((All I1, ((model I1 T_1) /\ (model I1 C))) <=> (status T_1 C (tau)))) ### Equiv 9 12 % 16.65/16.81 14. (All C, ((All I1, ((model I1 T_2) /\ (model I1 C))) <=> (status T_2 C (tau)))) (All C, ((All I1, ((model I1 T_1) /\ (model I1 C))) <=> (status T_1 C (tau)))) (status T_1 T_2 (tau)) (-. (model T_4 T_2)) ### All 13 % 16.65/16.81 15. (All Ax, (All C, ((All I1, ((model I1 Ax) /\ (model I1 C))) <=> (status Ax C (tau))))) (-. (model T_4 T_2)) (status T_1 T_2 (tau)) (All C, ((All I1, ((model I1 T_2) /\ (model I1 C))) <=> (status T_2 C (tau)))) ### All 14 % 16.65/16.81 16. (status T_1 T_2 (tau)) (-. (model T_4 T_2)) (All Ax, (All C, ((All I1, ((model I1 Ax) /\ (model I1 C))) <=> (status Ax C (tau))))) ### All 15 % 16.65/16.81 17. (-. (All I1, (model I1 T_2))) (All Ax, (All C, ((All I1, ((model I1 Ax) /\ (model I1 C))) <=> (status Ax C (tau))))) (status T_1 T_2 (tau)) ### NotAllEx 16 % 16.65/16.81 18. (-. ((Ex I1, (model I1 T_0)) /\ (All I1, (model I1 T_2)))) (status T_1 T_2 (tau)) (All Ax, (All C, ((All I1, ((model I1 Ax) /\ (model I1 C))) <=> (status Ax C (tau))))) (Ex I1, (model I1 T_0)) ### NotAnd 1 17 % 16.65/16.81 19. (-. (model T_5 T_2)) (model T_5 T_2) ### Axiom % 16.65/16.81 20. (All I1, (model I1 T_2)) (-. (model T_5 T_2)) ### All 19 % 16.65/16.81 21. ((Ex I1, (model I1 T_0)) /\ (All I1, (model I1 T_2))) (-. (model T_5 T_2)) ### And 20 % 16.65/16.81 22. (((Ex I1, (model I1 T_0)) /\ (All I1, (model I1 T_2))) <=> (status T_0 T_2 (tac))) (-. (model T_5 T_2)) (Ex I1, (model I1 T_0)) (All Ax, (All C, ((All I1, ((model I1 Ax) /\ (model I1 C))) <=> (status Ax C (tau))))) (status T_1 T_2 (tau)) ### Equiv 18 21 % 16.65/16.81 23. (All C, (((Ex I1, (model I1 T_0)) /\ (All I2, (model I2 C))) <=> (status T_0 C (tac)))) (status T_1 T_2 (tau)) (All Ax, (All C, ((All I1, ((model I1 Ax) /\ (model I1 C))) <=> (status Ax C (tau))))) (Ex I1, (model I1 T_0)) (-. (model T_5 T_2)) ### All 22 % 16.65/16.81 24. (All Ax, (All C, (((Ex I1, (model I1 Ax)) /\ (All I2, (model I2 C))) <=> (status Ax C (tac))))) (-. (model T_5 T_2)) (Ex I1, (model I1 T_0)) (All Ax, (All C, ((All I1, ((model I1 Ax) /\ (model I1 C))) <=> (status Ax C (tau))))) (status T_1 T_2 (tau)) ### All 23 % 16.65/16.81 25. (-. ((model T_5 T_1) => (model T_5 T_2))) (status T_1 T_2 (tau)) (All Ax, (All C, ((All I1, ((model I1 Ax) /\ (model I1 C))) <=> (status Ax C (tau))))) (Ex I1, (model I1 T_0)) (All Ax, (All C, (((Ex I1, (model I1 Ax)) /\ (All I2, (model I2 C))) <=> (status Ax C (tac))))) ### NotImply 24 % 16.65/16.81 26. (-. (All I1, ((model I1 T_1) => (model I1 T_2)))) (All Ax, (All C, (((Ex I1, (model I1 Ax)) /\ (All I2, (model I2 C))) <=> (status Ax C (tac))))) (Ex I1, (model I1 T_0)) (All Ax, (All C, ((All I1, ((model I1 Ax) /\ (model I1 C))) <=> (status Ax C (tau))))) (status T_1 T_2 (tau)) ### NotAllEx 25 % 16.65/16.81 27. (-. (status T_1 T_2 (thm))) (status T_1 T_2 (thm)) ### Axiom % 16.65/16.81 28. ((All I1, ((model I1 T_1) => (model I1 T_2))) <=> (status T_1 T_2 (thm))) (-. (status T_1 T_2 (thm))) (status T_1 T_2 (tau)) (All Ax, (All C, ((All I1, ((model I1 Ax) /\ (model I1 C))) <=> (status Ax C (tau))))) (Ex I1, (model I1 T_0)) (All Ax, (All C, (((Ex I1, (model I1 Ax)) /\ (All I2, (model I2 C))) <=> (status Ax C (tac))))) ### Equiv 26 27 % 16.65/16.81 29. (All C, ((All I1, ((model I1 T_1) => (model I1 C))) <=> (status T_1 C (thm)))) (All Ax, (All C, (((Ex I1, (model I1 Ax)) /\ (All I2, (model I2 C))) <=> (status Ax C (tac))))) (Ex I1, (model I1 T_0)) (All Ax, (All C, ((All I1, ((model I1 Ax) /\ (model I1 C))) <=> (status Ax C (tau))))) (status T_1 T_2 (tau)) (-. (status T_1 T_2 (thm))) ### All 28 % 16.65/16.81 30. (All Ax, (All C, ((All I1, ((model I1 Ax) => (model I1 C))) <=> (status Ax C (thm))))) (-. (status T_1 T_2 (thm))) (status T_1 T_2 (tau)) (All Ax, (All C, ((All I1, ((model I1 Ax) /\ (model I1 C))) <=> (status Ax C (tau))))) (Ex I1, (model I1 T_0)) (All Ax, (All C, (((Ex I1, (model I1 Ax)) /\ (All I2, (model I2 C))) <=> (status Ax C (tac))))) ### All 29 % 16.65/16.81 31. ((Ex I1, (model I1 T_0)) /\ (Ex I2, (-. (model I2 T_0)))) (All Ax, (All C, (((Ex I1, (model I1 Ax)) /\ (All I2, (model I2 C))) <=> (status Ax C (tac))))) (All Ax, (All C, ((All I1, ((model I1 Ax) /\ (model I1 C))) <=> (status Ax C (tau))))) (status T_1 T_2 (tau)) (-. (status T_1 T_2 (thm))) (All Ax, (All C, ((All I1, ((model I1 Ax) => (model I1 C))) <=> (status Ax C (thm))))) ### And 30 % 16.65/16.81 32. (Ex F, ((Ex I1, (model I1 F)) /\ (Ex I2, (-. (model I2 F))))) (All Ax, (All C, ((All I1, ((model I1 Ax) => (model I1 C))) <=> (status Ax C (thm))))) (-. (status T_1 T_2 (thm))) (status T_1 T_2 (tau)) (All Ax, (All C, ((All I1, ((model I1 Ax) /\ (model I1 C))) <=> (status Ax C (tau))))) (All Ax, (All C, (((Ex I1, (model I1 Ax)) /\ (All I2, (model I2 C))) <=> (status Ax C (tac))))) ### Exists 31 % 16.65/16.81 33. (-. ((status T_1 T_2 (tau)) => (status T_1 T_2 (thm)))) (All Ax, (All C, (((Ex I1, (model I1 Ax)) /\ (All I2, (model I2 C))) <=> (status Ax C (tac))))) (All Ax, (All C, ((All I1, ((model I1 Ax) /\ (model I1 C))) <=> (status Ax C (tau))))) (All Ax, (All C, ((All I1, ((model I1 Ax) => (model I1 C))) <=> (status Ax C (thm))))) (Ex F, ((Ex I1, (model I1 F)) /\ (Ex I2, (-. (model I2 F))))) ### NotImply 32 % 16.65/16.81 34. (-. (All C, ((status T_1 C (tau)) => (status T_1 C (thm))))) (Ex F, ((Ex I1, (model I1 F)) /\ (Ex I2, (-. (model I2 F))))) (All Ax, (All C, ((All I1, ((model I1 Ax) => (model I1 C))) <=> (status Ax C (thm))))) (All Ax, (All C, ((All I1, ((model I1 Ax) /\ (model I1 C))) <=> (status Ax C (tau))))) (All Ax, (All C, (((Ex I1, (model I1 Ax)) /\ (All I2, (model I2 C))) <=> (status Ax C (tac))))) ### NotAllEx 33 % 16.65/16.81 35. (-. (All Ax, (All C, ((status Ax C (tau)) => (status Ax C (thm)))))) (All Ax, (All C, (((Ex I1, (model I1 Ax)) /\ (All I2, (model I2 C))) <=> (status Ax C (tac))))) (All Ax, (All C, ((All I1, ((model I1 Ax) /\ (model I1 C))) <=> (status Ax C (tau))))) (All Ax, (All C, ((All I1, ((model I1 Ax) => (model I1 C))) <=> (status Ax C (thm))))) (Ex F, ((Ex I1, (model I1 F)) /\ (Ex I2, (-. (model I2 F))))) ### NotAllEx 34 % 16.65/16.81 36. (-. (isa (tau) (thm))) (Ex F, ((Ex I1, (model I1 F)) /\ (Ex I2, (-. (model I2 F))))) (All Ax, (All C, ((All I1, ((model I1 Ax) => (model I1 C))) <=> (status Ax C (thm))))) (All Ax, (All C, ((All I1, ((model I1 Ax) /\ (model I1 C))) <=> (status Ax C (tau))))) (All Ax, (All C, (((Ex I1, (model I1 Ax)) /\ (All I2, (model I2 C))) <=> (status Ax C (tac))))) ### Definition-Pseudo(isa) 35 % 16.65/16.81 % SZS output end Proof % 16.65/16.81 (* END-PROOF *) %------------------------------------------------------------------------------