%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : GEO148+1 : TPTP v8.1.0. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % Computer : n024.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 06:30:26 EDT 2022 % Result : Theorem 3.74s 3.99s % Output : Proof 3.74s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.11 % Problem : GEO148+1 : TPTP v8.1.0. Released v2.4.0. % 0.06/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.12/0.33 % Computer : n024.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 : Sat Jun 18 14:31:02 EDT 2022 % 0.12/0.33 % CPUTime : % 3.74/3.99 % SZS status Theorem % 3.74/3.99 (* PROOF-FOUND *) % 3.74/3.99 (* BEGIN-PROOF *) % 3.74/3.99 % SZS output start Proof % 3.74/3.99 1. (once (at_the_same_time (at T_0 T_1) (at T_2 T_1))) (-. (once (at_the_same_time (at T_0 T_1) (at T_2 T_1)))) ### Axiom % 3.74/3.99 2. (once (at_the_same_time (at T_0 T_3) (at T_2 T_4))) (-. (once (at_the_same_time (at T_0 T_3) (at T_2 T_4)))) ### Axiom % 3.74/3.99 3. (ordered_by (trajectory_of T_0) T_1 T_3) (-. (ordered_by (trajectory_of T_0) T_1 T_3)) ### Axiom % 3.74/3.99 4. (ordered_by (trajectory_of T_2) T_4 T_1) (-. (ordered_by (trajectory_of T_2) T_4 T_1)) ### Axiom % 3.74/3.99 5. (((once (at_the_same_time (at T_0 T_1) (at T_2 T_1))) /\ (once (at_the_same_time (at T_0 T_3) (at T_2 T_4)))) => (-. ((ordered_by (trajectory_of T_0) T_1 T_3) /\ (ordered_by (trajectory_of T_2) T_4 T_1)))) (ordered_by (trajectory_of T_2) T_4 T_1) (ordered_by (trajectory_of T_0) T_1 T_3) (once (at_the_same_time (at T_0 T_3) (at T_2 T_4))) (once (at_the_same_time (at T_0 T_1) (at T_2 T_1))) ### DisjTree 1 2 3 4 % 3.74/3.99 6. (All Y, (((once (at_the_same_time (at T_0 T_1) (at Y T_1))) /\ (once (at_the_same_time (at T_0 T_3) (at Y T_4)))) => (-. ((ordered_by (trajectory_of T_0) T_1 T_3) /\ (ordered_by (trajectory_of Y) T_4 T_1))))) (once (at_the_same_time (at T_0 T_1) (at T_2 T_1))) (once (at_the_same_time (at T_0 T_3) (at T_2 T_4))) (ordered_by (trajectory_of T_0) T_1 T_3) (ordered_by (trajectory_of T_2) T_4 T_1) ### All 5 % 3.74/3.99 7. (All X, (All Y, (((once (at_the_same_time (at X T_1) (at Y T_1))) /\ (once (at_the_same_time (at X T_3) (at Y T_4)))) => (-. ((ordered_by (trajectory_of X) T_1 T_3) /\ (ordered_by (trajectory_of Y) T_4 T_1)))))) (ordered_by (trajectory_of T_2) T_4 T_1) (ordered_by (trajectory_of T_0) T_1 T_3) (once (at_the_same_time (at T_0 T_3) (at T_2 T_4))) (once (at_the_same_time (at T_0 T_1) (at T_2 T_1))) ### All 6 % 3.74/3.99 8. (All Q2, (All X, (All Y, (((once (at_the_same_time (at X T_1) (at Y T_1))) /\ (once (at_the_same_time (at X T_3) (at Y Q2)))) => (-. ((ordered_by (trajectory_of X) T_1 T_3) /\ (ordered_by (trajectory_of Y) Q2 T_1))))))) (once (at_the_same_time (at T_0 T_1) (at T_2 T_1))) (once (at_the_same_time (at T_0 T_3) (at T_2 T_4))) (ordered_by (trajectory_of T_0) T_1 T_3) (ordered_by (trajectory_of T_2) T_4 T_1) ### All 7 % 3.74/3.99 9. (All Q1, (All Q2, (All X, (All Y, (((once (at_the_same_time (at X T_1) (at Y T_1))) /\ (once (at_the_same_time (at X Q1) (at Y Q2)))) => (-. ((ordered_by (trajectory_of X) T_1 Q1) /\ (ordered_by (trajectory_of Y) Q2 T_1)))))))) (ordered_by (trajectory_of T_2) T_4 T_1) (ordered_by (trajectory_of T_0) T_1 T_3) (once (at_the_same_time (at T_0 T_3) (at T_2 T_4))) (once (at_the_same_time (at T_0 T_1) (at T_2 T_1))) ### All 8 % 3.74/3.99 10. (All P2, (All Q1, (All Q2, (All X, (All Y, (((once (at_the_same_time (at X T_1) (at Y P2))) /\ (once (at_the_same_time (at X Q1) (at Y Q2)))) => (-. ((ordered_by (trajectory_of X) T_1 Q1) /\ (ordered_by (trajectory_of Y) Q2 P2))))))))) (once (at_the_same_time (at T_0 T_1) (at T_2 T_1))) (once (at_the_same_time (at T_0 T_3) (at T_2 T_4))) (ordered_by (trajectory_of T_0) T_1 T_3) (ordered_by (trajectory_of T_2) T_4 T_1) ### All 9 % 3.74/3.99 11. (All P1, (All P2, (All Q1, (All Q2, (All X, (All Y, (((once (at_the_same_time (at X P1) (at Y P2))) /\ (once (at_the_same_time (at X Q1) (at Y Q2)))) => (-. ((ordered_by (trajectory_of X) P1 Q1) /\ (ordered_by (trajectory_of Y) Q2 P2)))))))))) (ordered_by (trajectory_of T_2) T_4 T_1) (ordered_by (trajectory_of T_0) T_1 T_3) (once (at_the_same_time (at T_0 T_3) (at T_2 T_4))) (once (at_the_same_time (at T_0 T_1) (at T_2 T_1))) ### All 10 % 3.74/3.99 12. (-. (((ordered_by (trajectory_of T_2) T_4 T_1) /\ (ordered_by (trajectory_of T_0) T_1 T_3)) => (-. (once (at_the_same_time (at T_0 T_3) (at T_2 T_4)))))) (once (at_the_same_time (at T_0 T_1) (at T_2 T_1))) (All P1, (All P2, (All Q1, (All Q2, (All X, (All Y, (((once (at_the_same_time (at X P1) (at Y P2))) /\ (once (at_the_same_time (at X Q1) (at Y Q2)))) => (-. ((ordered_by (trajectory_of X) P1 Q1) /\ (ordered_by (trajectory_of Y) Q2 P2)))))))))) ### ConjTree 11 % 3.74/3.99 13. (-. (All Q2, (((ordered_by (trajectory_of T_2) Q2 T_1) /\ (ordered_by (trajectory_of T_0) T_1 T_3)) => (-. (once (at_the_same_time (at T_0 T_3) (at T_2 Q2))))))) (All P1, (All P2, (All Q1, (All Q2, (All X, (All Y, (((once (at_the_same_time (at X P1) (at Y P2))) /\ (once (at_the_same_time (at X Q1) (at Y Q2)))) => (-. ((ordered_by (trajectory_of X) P1 Q1) /\ (ordered_by (trajectory_of Y) Q2 P2)))))))))) (once (at_the_same_time (at T_0 T_1) (at T_2 T_1))) ### NotAllEx 12 % 3.74/3.99 14. (-. (All Q1, (All Q2, (((ordered_by (trajectory_of T_2) Q2 T_1) /\ (ordered_by (trajectory_of T_0) T_1 Q1)) => (-. (once (at_the_same_time (at T_0 Q1) (at T_2 Q2)))))))) (once (at_the_same_time (at T_0 T_1) (at T_2 T_1))) (All P1, (All P2, (All Q1, (All Q2, (All X, (All Y, (((once (at_the_same_time (at X P1) (at Y P2))) /\ (once (at_the_same_time (at X Q1) (at Y Q2)))) => (-. ((ordered_by (trajectory_of X) P1 Q1) /\ (ordered_by (trajectory_of Y) Q2 P2)))))))))) ### NotAllEx 13 % 3.74/3.99 15. (connect T_0 T_2 T_1) (All P1, (All P2, (All Q1, (All Q2, (All X, (All Y, (((once (at_the_same_time (at X P1) (at Y P2))) /\ (once (at_the_same_time (at X Q1) (at Y Q2)))) => (-. ((ordered_by (trajectory_of X) P1 Q1) /\ (ordered_by (trajectory_of Y) Q2 P2)))))))))) (-. (All Q1, (All Q2, (((ordered_by (trajectory_of T_2) Q2 T_1) /\ (ordered_by (trajectory_of T_0) T_1 Q1)) => (-. (once (at_the_same_time (at T_0 Q1) (at T_2 Q2)))))))) ### Definition-Pseudo(connect) 14 % 3.74/3.99 16. (-. ((connect T_0 T_2 T_1) => (All Q1, (All Q2, (((ordered_by (trajectory_of T_2) Q2 T_1) /\ (ordered_by (trajectory_of T_0) T_1 Q1)) => (-. (once (at_the_same_time (at T_0 Q1) (at T_2 Q2))))))))) (All P1, (All P2, (All Q1, (All Q2, (All X, (All Y, (((once (at_the_same_time (at X P1) (at Y P2))) /\ (once (at_the_same_time (at X Q1) (at Y Q2)))) => (-. ((ordered_by (trajectory_of X) P1 Q1) /\ (ordered_by (trajectory_of Y) Q2 P2)))))))))) ### NotImply 15 % 3.74/3.99 17. (-. (All Y, ((connect T_0 Y T_1) => (All Q1, (All Q2, (((ordered_by (trajectory_of Y) Q2 T_1) /\ (ordered_by (trajectory_of T_0) T_1 Q1)) => (-. (once (at_the_same_time (at T_0 Q1) (at Y Q2)))))))))) (All P1, (All P2, (All Q1, (All Q2, (All X, (All Y, (((once (at_the_same_time (at X P1) (at Y P2))) /\ (once (at_the_same_time (at X Q1) (at Y Q2)))) => (-. ((ordered_by (trajectory_of X) P1 Q1) /\ (ordered_by (trajectory_of Y) Q2 P2)))))))))) ### NotAllEx 16 % 3.74/3.99 18. (-. (All X, (All Y, ((connect X Y T_1) => (All Q1, (All Q2, (((ordered_by (trajectory_of Y) Q2 T_1) /\ (ordered_by (trajectory_of X) T_1 Q1)) => (-. (once (at_the_same_time (at X Q1) (at Y Q2))))))))))) (All P1, (All P2, (All Q1, (All Q2, (All X, (All Y, (((once (at_the_same_time (at X P1) (at Y P2))) /\ (once (at_the_same_time (at X Q1) (at Y Q2)))) => (-. ((ordered_by (trajectory_of X) P1 Q1) /\ (ordered_by (trajectory_of Y) Q2 P2)))))))))) ### NotAllEx 17 % 3.74/3.99 19. (-. (All P, (All X, (All Y, ((connect X Y P) => (All Q1, (All Q2, (((ordered_by (trajectory_of Y) Q2 P) /\ (ordered_by (trajectory_of X) P Q1)) => (-. (once (at_the_same_time (at X Q1) (at Y Q2)))))))))))) (All P1, (All P2, (All Q1, (All Q2, (All X, (All Y, (((once (at_the_same_time (at X P1) (at Y P2))) /\ (once (at_the_same_time (at X Q1) (at Y Q2)))) => (-. ((ordered_by (trajectory_of X) P1 Q1) /\ (ordered_by (trajectory_of Y) Q2 P2)))))))))) ### NotAllEx 18 % 3.74/3.99 % SZS output end Proof % 3.74/3.99 (* END-PROOF *) %------------------------------------------------------------------------------