%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SEU196+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 : n015.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 14:49:07 EDT 2022 % Result : Theorem 2.64s 2.80s % Output : Proof 2.64s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SEU196+1 : TPTP v8.1.0. Released v3.3.0. % 0.07/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.12/0.33 % Computer : n015.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 : Sun Jun 19 20:12:45 EDT 2022 % 0.12/0.33 % CPUTime : % 2.64/2.80 % SZS status Theorem % 2.64/2.80 (* PROOF-FOUND *) % 2.64/2.80 (* BEGIN-PROOF *) % 2.64/2.80 % SZS output start Proof % 2.64/2.80 1. (relation T_0) (-. (relation T_0)) ### Axiom % 2.64/2.80 2. (-. (relation (relation_dom_restriction T_0 T_1))) (relation (relation_dom_restriction T_0 T_1)) ### Axiom % 2.64/2.80 3. ((relation T_0) => (relation (relation_dom_restriction T_0 T_1))) (-. (relation (relation_dom_restriction T_0 T_1))) (relation T_0) ### Imply 1 2 % 2.64/2.80 4. (All B, ((relation T_0) => (relation (relation_dom_restriction T_0 B)))) (relation T_0) (-. (relation (relation_dom_restriction T_0 T_1))) ### All 3 % 2.64/2.80 5. (All A, (All B, ((relation A) => (relation (relation_dom_restriction A B))))) (-. (relation (relation_dom_restriction T_0 T_1))) (relation T_0) ### All 4 % 2.64/2.80 6. (relation T_0) (-. (relation T_0)) ### Axiom % 2.64/2.80 7. (relation T_0) (-. (relation T_0)) ### Axiom % 2.64/2.80 8. (-. (subset (relation_dom_restriction T_0 T_1) T_0)) (subset (relation_dom_restriction T_0 T_1) T_0) ### Axiom % 2.64/2.80 9. ((relation T_0) => (subset (relation_dom_restriction T_0 T_1) T_0)) (-. (subset (relation_dom_restriction T_0 T_1) T_0)) (relation T_0) ### Imply 7 8 % 2.64/2.80 10. (All B, ((relation B) => (subset (relation_dom_restriction B T_1) B))) (relation T_0) (-. (subset (relation_dom_restriction T_0 T_1) T_0)) ### All 9 % 2.64/2.80 11. (All A, (All B, ((relation B) => (subset (relation_dom_restriction B A) B)))) (-. (subset (relation_dom_restriction T_0 T_1) T_0)) (relation T_0) ### All 10 % 2.64/2.80 12. (-. (subset (relation_rng (relation_dom_restriction T_0 T_1)) (relation_rng T_0))) (subset (relation_rng (relation_dom_restriction T_0 T_1)) (relation_rng T_0)) ### Axiom % 2.64/2.80 13. ((subset (relation_dom (relation_dom_restriction T_0 T_1)) (relation_dom T_0)) /\ (subset (relation_rng (relation_dom_restriction T_0 T_1)) (relation_rng T_0))) (-. (subset (relation_rng (relation_dom_restriction T_0 T_1)) (relation_rng T_0))) ### And 12 % 2.64/2.80 14. ((relation T_0) => ((subset (relation_dom_restriction T_0 T_1) T_0) => ((subset (relation_dom (relation_dom_restriction T_0 T_1)) (relation_dom T_0)) /\ (subset (relation_rng (relation_dom_restriction T_0 T_1)) (relation_rng T_0))))) (-. (subset (relation_rng (relation_dom_restriction T_0 T_1)) (relation_rng T_0))) (All A, (All B, ((relation B) => (subset (relation_dom_restriction B A) B)))) (relation T_0) ### DisjTree 6 11 13 % 2.64/2.80 15. (All B, ((relation B) => ((subset (relation_dom_restriction T_0 T_1) B) => ((subset (relation_dom (relation_dom_restriction T_0 T_1)) (relation_dom B)) /\ (subset (relation_rng (relation_dom_restriction T_0 T_1)) (relation_rng B)))))) (relation T_0) (All A, (All B, ((relation B) => (subset (relation_dom_restriction B A) B)))) (-. (subset (relation_rng (relation_dom_restriction T_0 T_1)) (relation_rng T_0))) ### All 14 % 2.64/2.80 16. ((relation (relation_dom_restriction T_0 T_1)) => (All B, ((relation B) => ((subset (relation_dom_restriction T_0 T_1) B) => ((subset (relation_dom (relation_dom_restriction T_0 T_1)) (relation_dom B)) /\ (subset (relation_rng (relation_dom_restriction T_0 T_1)) (relation_rng B))))))) (-. (subset (relation_rng (relation_dom_restriction T_0 T_1)) (relation_rng T_0))) (All A, (All B, ((relation B) => (subset (relation_dom_restriction B A) B)))) (relation T_0) (All A, (All B, ((relation A) => (relation (relation_dom_restriction A B))))) ### Imply 5 15 % 2.64/2.80 17. (All A, ((relation A) => (All B, ((relation B) => ((subset A B) => ((subset (relation_dom A) (relation_dom B)) /\ (subset (relation_rng A) (relation_rng B)))))))) (All A, (All B, ((relation A) => (relation (relation_dom_restriction A B))))) (relation T_0) (All A, (All B, ((relation B) => (subset (relation_dom_restriction B A) B)))) (-. (subset (relation_rng (relation_dom_restriction T_0 T_1)) (relation_rng T_0))) ### All 16 % 2.64/2.80 18. (-. ((relation T_0) => (subset (relation_rng (relation_dom_restriction T_0 T_1)) (relation_rng T_0)))) (All A, (All B, ((relation B) => (subset (relation_dom_restriction B A) B)))) (All A, (All B, ((relation A) => (relation (relation_dom_restriction A B))))) (All A, ((relation A) => (All B, ((relation B) => ((subset A B) => ((subset (relation_dom A) (relation_dom B)) /\ (subset (relation_rng A) (relation_rng B)))))))) ### NotImply 17 % 2.64/2.80 19. (-. (All B, ((relation B) => (subset (relation_rng (relation_dom_restriction B T_1)) (relation_rng B))))) (All A, ((relation A) => (All B, ((relation B) => ((subset A B) => ((subset (relation_dom A) (relation_dom B)) /\ (subset (relation_rng A) (relation_rng B)))))))) (All A, (All B, ((relation A) => (relation (relation_dom_restriction A B))))) (All A, (All B, ((relation B) => (subset (relation_dom_restriction B A) B)))) ### NotAllEx 18 % 2.64/2.80 20. (-. (All A, (All B, ((relation B) => (subset (relation_rng (relation_dom_restriction B A)) (relation_rng B)))))) (All A, (All B, ((relation B) => (subset (relation_dom_restriction B A) B)))) (All A, (All B, ((relation A) => (relation (relation_dom_restriction A B))))) (All A, ((relation A) => (All B, ((relation B) => ((subset A B) => ((subset (relation_dom A) (relation_dom B)) /\ (subset (relation_rng A) (relation_rng B)))))))) ### NotAllEx 19 % 2.64/2.80 % SZS output end Proof % 2.64/2.80 (* END-PROOF *) %------------------------------------------------------------------------------