%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SEU264+1 : TPTP v8.1.0. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % Computer : n009.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 : Tue Jul 19 14:49:46 EDT 2022 % Result : Theorem 5.00s 5.19s % Output : Proof 5.00s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.13 % Problem : SEU264+1 : TPTP v8.1.0. Released v3.3.0. % 0.04/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.13/0.34 % Computer : n009.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 600 % 0.13/0.34 % DateTime : Sun Jun 19 16:53:37 EDT 2022 % 0.13/0.35 % CPUTime : % 5.00/5.19 % SZS status Theorem % 5.00/5.19 (* PROOF-FOUND *) % 5.00/5.19 (* BEGIN-PROOF *) % 5.00/5.19 % SZS output start Proof % 5.00/5.19 1. (relation_of2 T_0 T_1 T_2) (-. (relation_of2 T_0 T_1 T_2)) ### Axiom % 5.00/5.19 2. (-. (relation_of2_as_subset T_0 T_1 T_2)) (relation_of2 T_0 T_1 T_2) ### Definition-Pseudo(relation_of2_as_subset) 1 % 5.00/5.19 3. (-. (subset (relation_rng T_0) T_2)) (subset (relation_rng T_0) T_2) ### Axiom % 5.00/5.19 4. ((subset (relation_dom T_0) T_1) /\ (subset (relation_rng T_0) T_2)) (-. (subset (relation_rng T_0) T_2)) ### And 3 % 5.00/5.19 5. ((relation_of2_as_subset T_0 T_1 T_2) => ((subset (relation_dom T_0) T_1) /\ (subset (relation_rng T_0) T_2))) (-. (subset (relation_rng T_0) T_2)) (relation_of2 T_0 T_1 T_2) ### Imply 2 4 % 5.00/5.19 6. (All C, ((relation_of2_as_subset C T_1 T_2) => ((subset (relation_dom C) T_1) /\ (subset (relation_rng C) T_2)))) (relation_of2 T_0 T_1 T_2) (-. (subset (relation_rng T_0) T_2)) ### All 5 % 5.00/5.19 7. (All B, (All C, ((relation_of2_as_subset C T_1 B) => ((subset (relation_dom C) T_1) /\ (subset (relation_rng C) B))))) (-. (subset (relation_rng T_0) T_2)) (relation_of2 T_0 T_1 T_2) ### All 6 % 5.00/5.19 8. (All A, (All B, (All C, ((relation_of2_as_subset C A B) => ((subset (relation_dom C) A) /\ (subset (relation_rng C) B)))))) (relation_of2 T_0 T_1 T_2) (-. (subset (relation_rng T_0) T_2)) ### All 7 % 5.00/5.19 9. (T_3 != T_3) ### Refl(=) % 5.00/5.19 10. (-. (subset (relation_rng T_0) T_3)) (subset T_2 T_3) (relation_of2 T_0 T_1 T_2) (All A, (All B, (All C, ((relation_of2_as_subset C A B) => ((subset (relation_dom C) A) /\ (subset (relation_rng C) B)))))) ### Trans 8 9 % 5.00/5.19 11. (-. (relation_of2 T_0 T_1 T_3)) (relation_of2 T_0 T_1 T_3) ### Axiom % 5.00/5.19 12. (relation_of2_as_subset T_0 T_1 T_3) (-. (relation_of2 T_0 T_1 T_3)) ### Definition-Pseudo(relation_of2_as_subset) 11 % 5.00/5.19 13. ((relation_of2_as_subset T_0 T_1 T_2) => ((subset (relation_rng T_0) T_3) => (relation_of2_as_subset T_0 T_1 T_3))) (-. (relation_of2 T_0 T_1 T_3)) (All A, (All B, (All C, ((relation_of2_as_subset C A B) => ((subset (relation_dom C) A) /\ (subset (relation_rng C) B)))))) (subset T_2 T_3) (relation_of2 T_0 T_1 T_2) ### DisjTree 2 10 12 % 5.00/5.19 14. (All D, ((relation_of2_as_subset D T_1 T_2) => ((subset (relation_rng D) T_3) => (relation_of2_as_subset D T_1 T_3)))) (relation_of2 T_0 T_1 T_2) (subset T_2 T_3) (All A, (All B, (All C, ((relation_of2_as_subset C A B) => ((subset (relation_dom C) A) /\ (subset (relation_rng C) B)))))) (-. (relation_of2 T_0 T_1 T_3)) ### All 13 % 5.00/5.19 15. (All C, (All D, ((relation_of2_as_subset D C T_2) => ((subset (relation_rng D) T_3) => (relation_of2_as_subset D C T_3))))) (-. (relation_of2 T_0 T_1 T_3)) (All A, (All B, (All C, ((relation_of2_as_subset C A B) => ((subset (relation_dom C) A) /\ (subset (relation_rng C) B)))))) (subset T_2 T_3) (relation_of2 T_0 T_1 T_2) ### All 14 % 5.00/5.19 16. (All B, (All C, (All D, ((relation_of2_as_subset D C T_2) => ((subset (relation_rng D) B) => (relation_of2_as_subset D C B)))))) (relation_of2 T_0 T_1 T_2) (subset T_2 T_3) (All A, (All B, (All C, ((relation_of2_as_subset C A B) => ((subset (relation_dom C) A) /\ (subset (relation_rng C) B)))))) (-. (relation_of2 T_0 T_1 T_3)) ### All 15 % 5.00/5.19 17. (All A, (All B, (All C, (All D, ((relation_of2_as_subset D C A) => ((subset (relation_rng D) B) => (relation_of2_as_subset D C B))))))) (-. (relation_of2 T_0 T_1 T_3)) (All A, (All B, (All C, ((relation_of2_as_subset C A B) => ((subset (relation_dom C) A) /\ (subset (relation_rng C) B)))))) (subset T_2 T_3) (relation_of2 T_0 T_1 T_2) ### All 16 % 5.00/5.19 18. (-. (relation_of2_as_subset T_0 T_1 T_3)) (relation_of2 T_0 T_1 T_2) (subset T_2 T_3) (All A, (All B, (All C, ((relation_of2_as_subset C A B) => ((subset (relation_dom C) A) /\ (subset (relation_rng C) B)))))) (All A, (All B, (All C, (All D, ((relation_of2_as_subset D C A) => ((subset (relation_rng D) B) => (relation_of2_as_subset D C B))))))) ### Definition-Pseudo(relation_of2_as_subset) 17 % 5.00/5.19 19. (relation_of2_as_subset T_0 T_1 T_2) (All A, (All B, (All C, (All D, ((relation_of2_as_subset D C A) => ((subset (relation_rng D) B) => (relation_of2_as_subset D C B))))))) (All A, (All B, (All C, ((relation_of2_as_subset C A B) => ((subset (relation_dom C) A) /\ (subset (relation_rng C) B)))))) (subset T_2 T_3) (-. (relation_of2_as_subset T_0 T_1 T_3)) ### Definition-Pseudo(relation_of2_as_subset) 18 % 5.00/5.19 20. (-. ((relation_of2_as_subset T_0 T_1 T_2) => ((subset T_2 T_3) => (relation_of2_as_subset T_0 T_1 T_3)))) (All A, (All B, (All C, ((relation_of2_as_subset C A B) => ((subset (relation_dom C) A) /\ (subset (relation_rng C) B)))))) (All A, (All B, (All C, (All D, ((relation_of2_as_subset D C A) => ((subset (relation_rng D) B) => (relation_of2_as_subset D C B))))))) ### ConjTree 19 % 5.00/5.19 21. (-. (All D, ((relation_of2_as_subset D T_1 T_2) => ((subset T_2 T_3) => (relation_of2_as_subset D T_1 T_3))))) (All A, (All B, (All C, (All D, ((relation_of2_as_subset D C A) => ((subset (relation_rng D) B) => (relation_of2_as_subset D C B))))))) (All A, (All B, (All C, ((relation_of2_as_subset C A B) => ((subset (relation_dom C) A) /\ (subset (relation_rng C) B)))))) ### NotAllEx 20 % 5.00/5.19 22. (-. (All C, (All D, ((relation_of2_as_subset D C T_2) => ((subset T_2 T_3) => (relation_of2_as_subset D C T_3)))))) (All A, (All B, (All C, ((relation_of2_as_subset C A B) => ((subset (relation_dom C) A) /\ (subset (relation_rng C) B)))))) (All A, (All B, (All C, (All D, ((relation_of2_as_subset D C A) => ((subset (relation_rng D) B) => (relation_of2_as_subset D C B))))))) ### NotAllEx 21 % 5.00/5.19 23. (-. (All B, (All C, (All D, ((relation_of2_as_subset D C T_2) => ((subset T_2 B) => (relation_of2_as_subset D C B))))))) (All A, (All B, (All C, (All D, ((relation_of2_as_subset D C A) => ((subset (relation_rng D) B) => (relation_of2_as_subset D C B))))))) (All A, (All B, (All C, ((relation_of2_as_subset C A B) => ((subset (relation_dom C) A) /\ (subset (relation_rng C) B)))))) ### NotAllEx 22 % 5.00/5.19 24. (-. (All A, (All B, (All C, (All D, ((relation_of2_as_subset D C A) => ((subset A B) => (relation_of2_as_subset D C B)))))))) (All A, (All B, (All C, ((relation_of2_as_subset C A B) => ((subset (relation_dom C) A) /\ (subset (relation_rng C) B)))))) (All A, (All B, (All C, (All D, ((relation_of2_as_subset D C A) => ((subset (relation_rng D) B) => (relation_of2_as_subset D C B))))))) ### NotAllEx 23 % 5.00/5.19 % SZS output end Proof % 5.00/5.19 (* END-PROOF *) %------------------------------------------------------------------------------