%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : GRP618+1 : TPTP v8.1.0. Released v3.4.0. % 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 : Sat Jul 16 11:55:08 EDT 2022 % Result : Theorem 0.21s 0.45s % Output : Proof 0.21s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : GRP618+1 : TPTP v8.1.0. Released v3.4.0. % 0.12/0.14 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.14/0.35 % Computer : n022.cluster.edu % 0.14/0.35 % Model : x86_64 x86_64 % 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.35 % Memory : 8042.1875MB % 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.35 % CPULimit : 300 % 0.14/0.36 % WCLimit : 600 % 0.14/0.36 % DateTime : Mon Jun 13 19:46:03 EDT 2022 % 0.14/0.36 % CPUTime : % 0.21/0.45 % SZS status Theorem % 0.21/0.45 (* PROOF-FOUND *) % 0.21/0.45 (* BEGIN-PROOF *) % 0.21/0.45 % SZS output start Proof % 0.21/0.45 1. (-. (v3_struct_0 T_0)) (v3_struct_0 T_0) ### Axiom % 0.21/0.45 2. (v1_group_1 T_0) (-. (v1_group_1 T_0)) ### Axiom % 0.21/0.45 3. (v3_group_1 T_0) (-. (v3_group_1 T_0)) ### Axiom % 0.21/0.45 4. (v4_group_1 T_0) (-. (v4_group_1 T_0)) ### Axiom % 0.21/0.45 5. (l1_group_1 T_0) (-. (l1_group_1 T_0)) ### Axiom % 0.21/0.45 6. (m1_group_2 T_1 T_0) (-. (m1_group_2 T_1 T_0)) ### Axiom % 0.21/0.45 7. (v1_group_3 T_1 T_0) (-. (v1_group_3 T_1 T_0)) ### Axiom % 0.21/0.45 8. (-. (All C, ((m1_subset_1 C (u1_struct_0 T_0)) => (All D, ((m1_subset_1 D (u1_struct_0 T_0)) => ((m1_subset_1 D (u1_struct_0 T_1)) => (r1_rlvect_1 T_1 (k2_group_3 T_0 D C)))))))) (All C, ((m1_subset_1 C (u1_struct_0 T_0)) => (All D, ((m1_subset_1 D (u1_struct_0 T_0)) => ((m1_subset_1 D (u1_struct_0 T_1)) => (r1_rlvect_1 T_1 (k2_group_3 T_0 D C))))))) ### Axiom % 0.21/0.45 9. ((m1_group_2 T_1 T_0) => ((v1_group_3 T_1 T_0) => (All C, ((m1_subset_1 C (u1_struct_0 T_0)) => (All D, ((m1_subset_1 D (u1_struct_0 T_0)) => ((m1_subset_1 D (u1_struct_0 T_1)) => (r1_rlvect_1 T_1 (k2_group_3 T_0 D C))))))))) (-. (All C, ((m1_subset_1 C (u1_struct_0 T_0)) => (All D, ((m1_subset_1 D (u1_struct_0 T_0)) => ((m1_subset_1 D (u1_struct_0 T_1)) => (r1_rlvect_1 T_1 (k2_group_3 T_0 D C)))))))) (v1_group_3 T_1 T_0) (m1_group_2 T_1 T_0) ### DisjTree 6 7 8 % 0.21/0.45 10. (All B, ((m1_group_2 B T_0) => ((v1_group_3 B T_0) => (All C, ((m1_subset_1 C (u1_struct_0 T_0)) => (All D, ((m1_subset_1 D (u1_struct_0 T_0)) => ((m1_subset_1 D (u1_struct_0 B)) => (r1_rlvect_1 B (k2_group_3 T_0 D C)))))))))) (m1_group_2 T_1 T_0) (v1_group_3 T_1 T_0) (-. (All C, ((m1_subset_1 C (u1_struct_0 T_0)) => (All D, ((m1_subset_1 D (u1_struct_0 T_0)) => ((m1_subset_1 D (u1_struct_0 T_1)) => (r1_rlvect_1 T_1 (k2_group_3 T_0 D C)))))))) ### All 9 % 0.21/0.45 11. (((-. (v3_struct_0 T_0)) /\ ((v1_group_1 T_0) /\ ((v3_group_1 T_0) /\ ((v4_group_1 T_0) /\ (l1_group_1 T_0))))) => (All B, ((m1_group_2 B T_0) => ((v1_group_3 B T_0) => (All C, ((m1_subset_1 C (u1_struct_0 T_0)) => (All D, ((m1_subset_1 D (u1_struct_0 T_0)) => ((m1_subset_1 D (u1_struct_0 B)) => (r1_rlvect_1 B (k2_group_3 T_0 D C))))))))))) (-. (All C, ((m1_subset_1 C (u1_struct_0 T_0)) => (All D, ((m1_subset_1 D (u1_struct_0 T_0)) => ((m1_subset_1 D (u1_struct_0 T_1)) => (r1_rlvect_1 T_1 (k2_group_3 T_0 D C)))))))) (v1_group_3 T_1 T_0) (m1_group_2 T_1 T_0) (l1_group_1 T_0) (v4_group_1 T_0) (v3_group_1 T_0) (v1_group_1 T_0) (-. (v3_struct_0 T_0)) ### DisjTree 1 2 3 4 5 10 % 0.21/0.45 12. (All A, (((-. (v3_struct_0 A)) /\ ((v1_group_1 A) /\ ((v3_group_1 A) /\ ((v4_group_1 A) /\ (l1_group_1 A))))) => (All B, ((m1_group_2 B A) => ((v1_group_3 B A) => (All C, ((m1_subset_1 C (u1_struct_0 A)) => (All D, ((m1_subset_1 D (u1_struct_0 A)) => ((m1_subset_1 D (u1_struct_0 B)) => (r1_rlvect_1 B (k2_group_3 A D C)))))))))))) (-. (v3_struct_0 T_0)) (v1_group_1 T_0) (v3_group_1 T_0) (v4_group_1 T_0) (l1_group_1 T_0) (m1_group_2 T_1 T_0) (v1_group_3 T_1 T_0) (-. (All C, ((m1_subset_1 C (u1_struct_0 T_0)) => (All D, ((m1_subset_1 D (u1_struct_0 T_0)) => ((m1_subset_1 D (u1_struct_0 T_1)) => (r1_rlvect_1 T_1 (k2_group_3 T_0 D C)))))))) ### All 11 % 0.21/0.45 13. (-. (v3_struct_0 T_0)) (v3_struct_0 T_0) ### Axiom % 0.21/0.45 14. (v1_group_1 T_0) (-. (v1_group_1 T_0)) ### Axiom % 0.21/0.45 15. (v3_group_1 T_0) (-. (v3_group_1 T_0)) ### Axiom % 0.21/0.45 16. (v4_group_1 T_0) (-. (v4_group_1 T_0)) ### Axiom % 0.21/0.45 17. (l1_group_1 T_0) (-. (l1_group_1 T_0)) ### Axiom % 0.21/0.45 18. (m1_group_2 T_1 T_0) (-. (m1_group_2 T_1 T_0)) ### Axiom % 0.21/0.45 19. (All C, ((m1_subset_1 C (u1_struct_0 T_0)) => (All D, ((m1_subset_1 D (u1_struct_0 T_0)) => ((m1_subset_1 D (u1_struct_0 T_1)) => (r1_rlvect_1 T_1 (k2_group_3 T_0 D C))))))) (-. (All C, ((m1_subset_1 C (u1_struct_0 T_0)) => (All D, ((m1_subset_1 D (u1_struct_0 T_0)) => ((m1_subset_1 D (u1_struct_0 T_1)) => (r1_rlvect_1 T_1 (k2_group_3 T_0 D C)))))))) ### Axiom % 0.21/0.45 20. (-. (v1_group_3 T_1 T_0)) (v1_group_3 T_1 T_0) ### Axiom % 0.21/0.45 21. ((m1_group_2 T_1 T_0) => ((All C, ((m1_subset_1 C (u1_struct_0 T_0)) => (All D, ((m1_subset_1 D (u1_struct_0 T_0)) => ((m1_subset_1 D (u1_struct_0 T_1)) => (r1_rlvect_1 T_1 (k2_group_3 T_0 D C))))))) => (v1_group_3 T_1 T_0))) (-. (v1_group_3 T_1 T_0)) (All C, ((m1_subset_1 C (u1_struct_0 T_0)) => (All D, ((m1_subset_1 D (u1_struct_0 T_0)) => ((m1_subset_1 D (u1_struct_0 T_1)) => (r1_rlvect_1 T_1 (k2_group_3 T_0 D C))))))) (m1_group_2 T_1 T_0) ### DisjTree 18 19 20 % 0.21/0.45 22. (All B, ((m1_group_2 B T_0) => ((All C, ((m1_subset_1 C (u1_struct_0 T_0)) => (All D, ((m1_subset_1 D (u1_struct_0 T_0)) => ((m1_subset_1 D (u1_struct_0 B)) => (r1_rlvect_1 B (k2_group_3 T_0 D C))))))) => (v1_group_3 B T_0)))) (m1_group_2 T_1 T_0) (All C, ((m1_subset_1 C (u1_struct_0 T_0)) => (All D, ((m1_subset_1 D (u1_struct_0 T_0)) => ((m1_subset_1 D (u1_struct_0 T_1)) => (r1_rlvect_1 T_1 (k2_group_3 T_0 D C))))))) (-. (v1_group_3 T_1 T_0)) ### All 21 % 0.21/0.45 23. (((-. (v3_struct_0 T_0)) /\ ((v1_group_1 T_0) /\ ((v3_group_1 T_0) /\ ((v4_group_1 T_0) /\ (l1_group_1 T_0))))) => (All B, ((m1_group_2 B T_0) => ((All C, ((m1_subset_1 C (u1_struct_0 T_0)) => (All D, ((m1_subset_1 D (u1_struct_0 T_0)) => ((m1_subset_1 D (u1_struct_0 B)) => (r1_rlvect_1 B (k2_group_3 T_0 D C))))))) => (v1_group_3 B T_0))))) (-. (v1_group_3 T_1 T_0)) (All C, ((m1_subset_1 C (u1_struct_0 T_0)) => (All D, ((m1_subset_1 D (u1_struct_0 T_0)) => ((m1_subset_1 D (u1_struct_0 T_1)) => (r1_rlvect_1 T_1 (k2_group_3 T_0 D C))))))) (m1_group_2 T_1 T_0) (l1_group_1 T_0) (v4_group_1 T_0) (v3_group_1 T_0) (v1_group_1 T_0) (-. (v3_struct_0 T_0)) ### DisjTree 13 14 15 16 17 22 % 0.21/0.45 24. (All A, (((-. (v3_struct_0 A)) /\ ((v1_group_1 A) /\ ((v3_group_1 A) /\ ((v4_group_1 A) /\ (l1_group_1 A))))) => (All B, ((m1_group_2 B A) => ((All C, ((m1_subset_1 C (u1_struct_0 A)) => (All D, ((m1_subset_1 D (u1_struct_0 A)) => ((m1_subset_1 D (u1_struct_0 B)) => (r1_rlvect_1 B (k2_group_3 A D C))))))) => (v1_group_3 B A)))))) (-. (v3_struct_0 T_0)) (v1_group_1 T_0) (v3_group_1 T_0) (v4_group_1 T_0) (l1_group_1 T_0) (m1_group_2 T_1 T_0) (All C, ((m1_subset_1 C (u1_struct_0 T_0)) => (All D, ((m1_subset_1 D (u1_struct_0 T_0)) => ((m1_subset_1 D (u1_struct_0 T_1)) => (r1_rlvect_1 T_1 (k2_group_3 T_0 D C))))))) (-. (v1_group_3 T_1 T_0)) ### All 23 % 0.21/0.45 25. (-. ((All C, ((m1_subset_1 C (u1_struct_0 T_0)) => (All D, ((m1_subset_1 D (u1_struct_0 T_0)) => ((m1_subset_1 D (u1_struct_0 T_1)) => (r1_rlvect_1 T_1 (k2_group_3 T_0 D C))))))) <=> (v1_group_3 T_1 T_0))) (All A, (((-. (v3_struct_0 A)) /\ ((v1_group_1 A) /\ ((v3_group_1 A) /\ ((v4_group_1 A) /\ (l1_group_1 A))))) => (All B, ((m1_group_2 B A) => ((All C, ((m1_subset_1 C (u1_struct_0 A)) => (All D, ((m1_subset_1 D (u1_struct_0 A)) => ((m1_subset_1 D (u1_struct_0 B)) => (r1_rlvect_1 B (k2_group_3 A D C))))))) => (v1_group_3 B A)))))) (m1_group_2 T_1 T_0) (l1_group_1 T_0) (v4_group_1 T_0) (v3_group_1 T_0) (v1_group_1 T_0) (-. (v3_struct_0 T_0)) (All A, (((-. (v3_struct_0 A)) /\ ((v1_group_1 A) /\ ((v3_group_1 A) /\ ((v4_group_1 A) /\ (l1_group_1 A))))) => (All B, ((m1_group_2 B A) => ((v1_group_3 B A) => (All C, ((m1_subset_1 C (u1_struct_0 A)) => (All D, ((m1_subset_1 D (u1_struct_0 A)) => ((m1_subset_1 D (u1_struct_0 B)) => (r1_rlvect_1 B (k2_group_3 A D C)))))))))))) ### NotEquiv 12 24 % 0.21/0.45 26. (-. ((m1_group_2 T_1 T_0) => ((All C, ((m1_subset_1 C (u1_struct_0 T_0)) => (All D, ((m1_subset_1 D (u1_struct_0 T_0)) => ((m1_subset_1 D (u1_struct_0 T_1)) => (r1_rlvect_1 T_1 (k2_group_3 T_0 D C))))))) <=> (v1_group_3 T_1 T_0)))) (All A, (((-. (v3_struct_0 A)) /\ ((v1_group_1 A) /\ ((v3_group_1 A) /\ ((v4_group_1 A) /\ (l1_group_1 A))))) => (All B, ((m1_group_2 B A) => ((v1_group_3 B A) => (All C, ((m1_subset_1 C (u1_struct_0 A)) => (All D, ((m1_subset_1 D (u1_struct_0 A)) => ((m1_subset_1 D (u1_struct_0 B)) => (r1_rlvect_1 B (k2_group_3 A D C)))))))))))) (-. (v3_struct_0 T_0)) (v1_group_1 T_0) (v3_group_1 T_0) (v4_group_1 T_0) (l1_group_1 T_0) (All A, (((-. (v3_struct_0 A)) /\ ((v1_group_1 A) /\ ((v3_group_1 A) /\ ((v4_group_1 A) /\ (l1_group_1 A))))) => (All B, ((m1_group_2 B A) => ((All C, ((m1_subset_1 C (u1_struct_0 A)) => (All D, ((m1_subset_1 D (u1_struct_0 A)) => ((m1_subset_1 D (u1_struct_0 B)) => (r1_rlvect_1 B (k2_group_3 A D C))))))) => (v1_group_3 B A)))))) ### NotImply 25 % 0.21/0.45 27. (-. (All B, ((m1_group_2 B T_0) => ((All C, ((m1_subset_1 C (u1_struct_0 T_0)) => (All D, ((m1_subset_1 D (u1_struct_0 T_0)) => ((m1_subset_1 D (u1_struct_0 B)) => (r1_rlvect_1 B (k2_group_3 T_0 D C))))))) <=> (v1_group_3 B T_0))))) (All A, (((-. (v3_struct_0 A)) /\ ((v1_group_1 A) /\ ((v3_group_1 A) /\ ((v4_group_1 A) /\ (l1_group_1 A))))) => (All B, ((m1_group_2 B A) => ((All C, ((m1_subset_1 C (u1_struct_0 A)) => (All D, ((m1_subset_1 D (u1_struct_0 A)) => ((m1_subset_1 D (u1_struct_0 B)) => (r1_rlvect_1 B (k2_group_3 A D C))))))) => (v1_group_3 B A)))))) (l1_group_1 T_0) (v4_group_1 T_0) (v3_group_1 T_0) (v1_group_1 T_0) (-. (v3_struct_0 T_0)) (All A, (((-. (v3_struct_0 A)) /\ ((v1_group_1 A) /\ ((v3_group_1 A) /\ ((v4_group_1 A) /\ (l1_group_1 A))))) => (All B, ((m1_group_2 B A) => ((v1_group_3 B A) => (All C, ((m1_subset_1 C (u1_struct_0 A)) => (All D, ((m1_subset_1 D (u1_struct_0 A)) => ((m1_subset_1 D (u1_struct_0 B)) => (r1_rlvect_1 B (k2_group_3 A D C)))))))))))) ### NotAllEx 26 % 0.21/0.45 28. (-. (((-. (v3_struct_0 T_0)) /\ ((v1_group_1 T_0) /\ ((v3_group_1 T_0) /\ ((v4_group_1 T_0) /\ (l1_group_1 T_0))))) => (All B, ((m1_group_2 B T_0) => ((All C, ((m1_subset_1 C (u1_struct_0 T_0)) => (All D, ((m1_subset_1 D (u1_struct_0 T_0)) => ((m1_subset_1 D (u1_struct_0 B)) => (r1_rlvect_1 B (k2_group_3 T_0 D C))))))) <=> (v1_group_3 B T_0)))))) (All A, (((-. (v3_struct_0 A)) /\ ((v1_group_1 A) /\ ((v3_group_1 A) /\ ((v4_group_1 A) /\ (l1_group_1 A))))) => (All B, ((m1_group_2 B A) => ((v1_group_3 B A) => (All C, ((m1_subset_1 C (u1_struct_0 A)) => (All D, ((m1_subset_1 D (u1_struct_0 A)) => ((m1_subset_1 D (u1_struct_0 B)) => (r1_rlvect_1 B (k2_group_3 A D C)))))))))))) (All A, (((-. (v3_struct_0 A)) /\ ((v1_group_1 A) /\ ((v3_group_1 A) /\ ((v4_group_1 A) /\ (l1_group_1 A))))) => (All B, ((m1_group_2 B A) => ((All C, ((m1_subset_1 C (u1_struct_0 A)) => (All D, ((m1_subset_1 D (u1_struct_0 A)) => ((m1_subset_1 D (u1_struct_0 B)) => (r1_rlvect_1 B (k2_group_3 A D C))))))) => (v1_group_3 B A)))))) ### ConjTree 27 % 0.21/0.45 29. (-. (All A, (((-. (v3_struct_0 A)) /\ ((v1_group_1 A) /\ ((v3_group_1 A) /\ ((v4_group_1 A) /\ (l1_group_1 A))))) => (All B, ((m1_group_2 B A) => ((All C, ((m1_subset_1 C (u1_struct_0 A)) => (All D, ((m1_subset_1 D (u1_struct_0 A)) => ((m1_subset_1 D (u1_struct_0 B)) => (r1_rlvect_1 B (k2_group_3 A D C))))))) <=> (v1_group_3 B A))))))) (All A, (((-. (v3_struct_0 A)) /\ ((v1_group_1 A) /\ ((v3_group_1 A) /\ ((v4_group_1 A) /\ (l1_group_1 A))))) => (All B, ((m1_group_2 B A) => ((All C, ((m1_subset_1 C (u1_struct_0 A)) => (All D, ((m1_subset_1 D (u1_struct_0 A)) => ((m1_subset_1 D (u1_struct_0 B)) => (r1_rlvect_1 B (k2_group_3 A D C))))))) => (v1_group_3 B A)))))) (All A, (((-. (v3_struct_0 A)) /\ ((v1_group_1 A) /\ ((v3_group_1 A) /\ ((v4_group_1 A) /\ (l1_group_1 A))))) => (All B, ((m1_group_2 B A) => ((v1_group_3 B A) => (All C, ((m1_subset_1 C (u1_struct_0 A)) => (All D, ((m1_subset_1 D (u1_struct_0 A)) => ((m1_subset_1 D (u1_struct_0 B)) => (r1_rlvect_1 B (k2_group_3 A D C)))))))))))) ### NotAllEx 28 % 0.21/0.45 % SZS output end Proof % 0.21/0.45 (* END-PROOF *) %------------------------------------------------------------------------------