%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : NUN069+2 : TPTP v8.1.0. Released v7.3.0. % Transfm : none % Format : tptp:raw % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % Computer : n021.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 : Mon Jul 18 16:39:09 EDT 2022 % Result : Theorem 0.35s 0.53s % Output : Proof 0.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.13 % Problem : NUN069+2 : TPTP v8.1.0. Released v7.3.0. % 0.08/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.14/0.35 % Computer : n021.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 % 0.14/0.35 % WCLimit : 600 % 0.14/0.35 % DateTime : Thu Jun 2 04:48:46 EDT 2022 % 0.14/0.35 % CPUTime : % 0.35/0.53 % SZS status Theorem % 0.35/0.53 (* PROOF-FOUND *) % 0.35/0.53 (* BEGIN-PROOF *) % 0.35/0.53 % SZS output start Proof % 0.35/0.53 1. (T_0 != T_0) ### Refl(=) % 0.35/0.53 2. ((-. (r1 T_0)) /\ (T_0 != T_0)) ### And 1 % 0.35/0.53 3. (T_1 != T_1) ### Refl(=) % 0.35/0.53 4. ((-. (r2 T_0 T_1)) /\ (T_1 != T_1)) ### And 3 % 0.35/0.53 5. (T_1 != T_1) ### Refl(=) % 0.35/0.53 6. (r1 T_0) (-. (r1 T_0)) ### Axiom % 0.35/0.53 7. (r2 T_0 T_1) (-. (r2 T_0 T_1)) ### Axiom % 0.35/0.53 8. (-. ((r1 T_0) /\ (r2 T_0 T_1))) (r2 T_0 T_1) (r1 T_0) ### NotAnd 6 7 % 0.35/0.53 9. (-. (Ex Y2, ((r1 Y2) /\ (r2 Y2 T_1)))) (r1 T_0) (r2 T_0 T_1) ### NotExists 8 % 0.35/0.53 10. (-. ((T_1 = T_1) /\ (Ex Y2, ((r1 Y2) /\ (r2 Y2 T_1))))) (r2 T_0 T_1) (r1 T_0) ### NotAnd 5 9 % 0.35/0.53 11. (-. (Ex Y1, ((Y1 = Y1) /\ (Ex Y2, ((r1 Y2) /\ (r2 Y2 Y1)))))) (r1 T_0) (r2 T_0 T_1) ### NotExists 10 % 0.35/0.53 12. ((r2 T_0 T_1) /\ (T_1 = T_1)) (r1 T_0) (-. (Ex Y1, ((Y1 = Y1) /\ (Ex Y2, ((r1 Y2) /\ (r2 Y2 Y1)))))) ### And 11 % 0.35/0.53 13. (((-. (r2 T_0 T_1)) /\ (T_1 != T_1)) \/ ((r2 T_0 T_1) /\ (T_1 = T_1))) (-. (Ex Y1, ((Y1 = Y1) /\ (Ex Y2, ((r1 Y2) /\ (r2 Y2 Y1)))))) (r1 T_0) ### Or 4 12 % 0.35/0.53 14. (All X12, (((-. (r2 T_0 X12)) /\ (X12 != T_1)) \/ ((r2 T_0 X12) /\ (X12 = T_1)))) (r1 T_0) (-. (Ex Y1, ((Y1 = Y1) /\ (Ex Y2, ((r1 Y2) /\ (r2 Y2 Y1)))))) ### All 13 % 0.35/0.53 15. (Ex Y21, (All X12, (((-. (r2 T_0 X12)) /\ (X12 != Y21)) \/ ((r2 T_0 X12) /\ (X12 = Y21))))) (-. (Ex Y1, ((Y1 = Y1) /\ (Ex Y2, ((r1 Y2) /\ (r2 Y2 Y1)))))) (r1 T_0) ### Exists 14 % 0.35/0.53 16. (All X11, (Ex Y21, (All X12, (((-. (r2 X11 X12)) /\ (X12 != Y21)) \/ ((r2 X11 X12) /\ (X12 = Y21)))))) (r1 T_0) (-. (Ex Y1, ((Y1 = Y1) /\ (Ex Y2, ((r1 Y2) /\ (r2 Y2 Y1)))))) ### All 15 % 0.35/0.53 17. ((r1 T_0) /\ (T_0 = T_0)) (-. (Ex Y1, ((Y1 = Y1) /\ (Ex Y2, ((r1 Y2) /\ (r2 Y2 Y1)))))) (All X11, (Ex Y21, (All X12, (((-. (r2 X11 X12)) /\ (X12 != Y21)) \/ ((r2 X11 X12) /\ (X12 = Y21)))))) ### And 16 % 0.35/0.53 18. (((-. (r1 T_0)) /\ (T_0 != T_0)) \/ ((r1 T_0) /\ (T_0 = T_0))) (All X11, (Ex Y21, (All X12, (((-. (r2 X11 X12)) /\ (X12 != Y21)) \/ ((r2 X11 X12) /\ (X12 = Y21)))))) (-. (Ex Y1, ((Y1 = Y1) /\ (Ex Y2, ((r1 Y2) /\ (r2 Y2 Y1)))))) ### Or 2 17 % 0.35/0.53 19. (All X19, (((-. (r1 X19)) /\ (X19 != T_0)) \/ ((r1 X19) /\ (X19 = T_0)))) (-. (Ex Y1, ((Y1 = Y1) /\ (Ex Y2, ((r1 Y2) /\ (r2 Y2 Y1)))))) (All X11, (Ex Y21, (All X12, (((-. (r2 X11 X12)) /\ (X12 != Y21)) \/ ((r2 X11 X12) /\ (X12 = Y21)))))) ### All 18 % 0.35/0.53 20. (Ex Y24, (All X19, (((-. (r1 X19)) /\ (X19 != Y24)) \/ ((r1 X19) /\ (X19 = Y24))))) (All X11, (Ex Y21, (All X12, (((-. (r2 X11 X12)) /\ (X12 != Y21)) \/ ((r2 X11 X12) /\ (X12 = Y21)))))) (-. (Ex Y1, ((Y1 = Y1) /\ (Ex Y2, ((r1 Y2) /\ (r2 Y2 Y1)))))) ### Exists 19 % 0.35/0.53 % SZS output end Proof % 0.35/0.53 (* END-PROOF *) %------------------------------------------------------------------------------