%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SWV109+1 : TPTP v8.1.0. Bugfixed v3.3.0. % Transfm : none % Format : tptp:raw % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % Computer : n016.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 : Wed Jul 20 21:50:02 EDT 2022 % Result : Theorem 2.44s 2.62s % Output : Proof 2.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.13 % Problem : SWV109+1 : TPTP v8.1.0. Bugfixed v3.3.0. % 0.07/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.13/0.35 % Computer : n016.cluster.edu % 0.13/0.35 % Model : x86_64 x86_64 % 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.35 % Memory : 8042.1875MB % 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.35 % CPULimit : 300 % 0.13/0.35 % WCLimit : 600 % 0.13/0.35 % DateTime : Tue Jun 14 19:09:16 EDT 2022 % 0.13/0.35 % CPUTime : % 2.44/2.62 % SZS status Theorem % 2.44/2.62 (* PROOF-FOUND *) % 2.44/2.62 (* BEGIN-PROOF *) % 2.44/2.62 % SZS output start Proof % 2.44/2.62 1. (gt (succ (pv5)) (n0)) (-. (gt (succ (pv5)) (n0))) ### Axiom % 2.44/2.62 2. (-. (leq (n0) (pv5))) (gt (succ (pv5)) (n0)) ### Definition-Pseudo(leq) 1 % 2.44/2.62 3. (gt (succ (minus (n999) (n1))) (pv5)) (-. (gt (succ (minus (n999) (n1))) (pv5))) ### Axiom % 2.44/2.62 4. (-. (leq (pv5) (minus (n999) (n1)))) (gt (succ (minus (n999) (n1))) (pv5)) ### Definition-Pseudo(leq) 3 % 2.44/2.62 5. (All A, (All B, (((leq (n0) A) /\ ((leq (n0) B) /\ ((leq A (minus (n6) (n1))) /\ (leq B (minus (n6) (n1)))))) => ((a_select3 (q_ds1_filter) A B) = (a_select3 (q_ds1_filter) B A))))) (-. (All A, (All B, (((leq (n0) A) /\ ((leq (n0) B) /\ ((leq A (minus (n6) (n1))) /\ (leq B (minus (n6) (n1)))))) => ((a_select3 (q_ds1_filter) A B) = (a_select3 (q_ds1_filter) B A)))))) ### Axiom % 2.44/2.62 6. (All C, (All D, (((leq (n0) C) /\ ((leq (n0) D) /\ ((leq C (minus (n3) (n1))) /\ (leq D (minus (n3) (n1)))))) => ((a_select3 (r_ds1_filter) C D) = (a_select3 (r_ds1_filter) D C))))) (-. (All C, (All D, (((leq (n0) C) /\ ((leq (n0) D) /\ ((leq C (minus (n3) (n1))) /\ (leq D (minus (n3) (n1)))))) => ((a_select3 (r_ds1_filter) C D) = (a_select3 (r_ds1_filter) D C)))))) ### Axiom % 2.44/2.62 7. (All E, (All F, (((leq (n0) E) /\ ((leq (n0) F) /\ ((leq E (minus (n6) (n1))) /\ (leq F (minus (n6) (n1)))))) => ((a_select3 (pminus_ds1_filter) E F) = (a_select3 (pminus_ds1_filter) F E))))) (-. (All E, (All F, (((leq (n0) E) /\ ((leq (n0) F) /\ ((leq E (minus (n6) (n1))) /\ (leq F (minus (n6) (n1)))))) => ((a_select3 (pminus_ds1_filter) E F) = (a_select3 (pminus_ds1_filter) F E)))))) ### Axiom % 2.44/2.62 8. (All E, (All F, (((leq (n0) E) /\ ((leq (n0) F) /\ ((leq E (minus (n6) (n1))) /\ (leq F (minus (n6) (n1)))))) => ((a_select3 (pminus_ds1_filter) E F) = (a_select3 (pminus_ds1_filter) F E))))) (-. (All E, (All F, (((leq (n0) E) /\ ((leq (n0) F) /\ ((leq E (minus (n6) (n1))) /\ (leq F (minus (n6) (n1)))))) => ((a_select3 (pminus_ds1_filter) E F) = (a_select3 (pminus_ds1_filter) F E)))))) ### Axiom % 2.44/2.62 9. (All I, (((leq (n0) I) /\ (leq I (minus (n6) (n1)))) => (All J, (((leq (n0) J) /\ (leq J (minus (n6) (n1)))) => ((a_select3 (id_ds1_filter) I J) = (a_select3 (id_ds1_filter) J I)))))) (-. (All I, (((leq (n0) I) /\ (leq I (minus (n6) (n1)))) => (All J, (((leq (n0) J) /\ (leq J (minus (n6) (n1)))) => ((a_select3 (id_ds1_filter) I J) = (a_select3 (id_ds1_filter) J I))))))) ### Axiom % 2.44/2.62 10. (-. ((leq (n0) (pv5)) /\ ((leq (pv5) (minus (n999) (n1))) /\ ((All A, (All B, (((leq (n0) A) /\ ((leq (n0) B) /\ ((leq A (minus (n6) (n1))) /\ (leq B (minus (n6) (n1)))))) => ((a_select3 (q_ds1_filter) A B) = (a_select3 (q_ds1_filter) B A))))) /\ ((All C, (All D, (((leq (n0) C) /\ ((leq (n0) D) /\ ((leq C (minus (n3) (n1))) /\ (leq D (minus (n3) (n1)))))) => ((a_select3 (r_ds1_filter) C D) = (a_select3 (r_ds1_filter) D C))))) /\ ((All E, (All F, (((leq (n0) E) /\ ((leq (n0) F) /\ ((leq E (minus (n6) (n1))) /\ (leq F (minus (n6) (n1)))))) => ((a_select3 (pminus_ds1_filter) E F) = (a_select3 (pminus_ds1_filter) F E))))) /\ ((All E, (All F, (((leq (n0) E) /\ ((leq (n0) F) /\ ((leq E (minus (n6) (n1))) /\ (leq F (minus (n6) (n1)))))) => ((a_select3 (pminus_ds1_filter) E F) = (a_select3 (pminus_ds1_filter) F E))))) /\ (All I, (((leq (n0) I) /\ (leq I (minus (n6) (n1)))) => (All J, (((leq (n0) J) /\ (leq J (minus (n6) (n1)))) => ((a_select3 (id_ds1_filter) I J) = (a_select3 (id_ds1_filter) J I))))))))))))) (All I, (((leq (n0) I) /\ (leq I (minus (n6) (n1)))) => (All J, (((leq (n0) J) /\ (leq J (minus (n6) (n1)))) => ((a_select3 (id_ds1_filter) I J) = (a_select3 (id_ds1_filter) J I)))))) (All E, (All F, (((leq (n0) E) /\ ((leq (n0) F) /\ ((leq E (minus (n6) (n1))) /\ (leq F (minus (n6) (n1)))))) => ((a_select3 (pminus_ds1_filter) E F) = (a_select3 (pminus_ds1_filter) F E))))) (All C, (All D, (((leq (n0) C) /\ ((leq (n0) D) /\ ((leq C (minus (n3) (n1))) /\ (leq D (minus (n3) (n1)))))) => ((a_select3 (r_ds1_filter) C D) = (a_select3 (r_ds1_filter) D C))))) (All A, (All B, (((leq (n0) A) /\ ((leq (n0) B) /\ ((leq A (minus (n6) (n1))) /\ (leq B (minus (n6) (n1)))))) => ((a_select3 (q_ds1_filter) A B) = (a_select3 (q_ds1_filter) B A))))) (gt (succ (minus (n999) (n1))) (pv5)) (gt (succ (pv5)) (n0)) ### DisjTree 2 4 5 6 7 8 9 % 2.44/2.62 11. (leq (pv5) (minus (n999) (n1))) (gt (succ (pv5)) (n0)) (All A, (All B, (((leq (n0) A) /\ ((leq (n0) B) /\ ((leq A (minus (n6) (n1))) /\ (leq B (minus (n6) (n1)))))) => ((a_select3 (q_ds1_filter) A B) = (a_select3 (q_ds1_filter) B A))))) (All C, (All D, (((leq (n0) C) /\ ((leq (n0) D) /\ ((leq C (minus (n3) (n1))) /\ (leq D (minus (n3) (n1)))))) => ((a_select3 (r_ds1_filter) C D) = (a_select3 (r_ds1_filter) D C))))) (All E, (All F, (((leq (n0) E) /\ ((leq (n0) F) /\ ((leq E (minus (n6) (n1))) /\ (leq F (minus (n6) (n1)))))) => ((a_select3 (pminus_ds1_filter) E F) = (a_select3 (pminus_ds1_filter) F E))))) (All I, (((leq (n0) I) /\ (leq I (minus (n6) (n1)))) => (All J, (((leq (n0) J) /\ (leq J (minus (n6) (n1)))) => ((a_select3 (id_ds1_filter) I J) = (a_select3 (id_ds1_filter) J I)))))) (-. ((leq (n0) (pv5)) /\ ((leq (pv5) (minus (n999) (n1))) /\ ((All A, (All B, (((leq (n0) A) /\ ((leq (n0) B) /\ ((leq A (minus (n6) (n1))) /\ (leq B (minus (n6) (n1)))))) => ((a_select3 (q_ds1_filter) A B) = (a_select3 (q_ds1_filter) B A))))) /\ ((All C, (All D, (((leq (n0) C) /\ ((leq (n0) D) /\ ((leq C (minus (n3) (n1))) /\ (leq D (minus (n3) (n1)))))) => ((a_select3 (r_ds1_filter) C D) = (a_select3 (r_ds1_filter) D C))))) /\ ((All E, (All F, (((leq (n0) E) /\ ((leq (n0) F) /\ ((leq E (minus (n6) (n1))) /\ (leq F (minus (n6) (n1)))))) => ((a_select3 (pminus_ds1_filter) E F) = (a_select3 (pminus_ds1_filter) F E))))) /\ ((All E, (All F, (((leq (n0) E) /\ ((leq (n0) F) /\ ((leq E (minus (n6) (n1))) /\ (leq F (minus (n6) (n1)))))) => ((a_select3 (pminus_ds1_filter) E F) = (a_select3 (pminus_ds1_filter) F E))))) /\ (All I, (((leq (n0) I) /\ (leq I (minus (n6) (n1)))) => (All J, (((leq (n0) J) /\ (leq J (minus (n6) (n1)))) => ((a_select3 (id_ds1_filter) I J) = (a_select3 (id_ds1_filter) J I))))))))))))) ### Definition-Pseudo(leq) 10 % 2.44/2.62 12. (leq (n0) (pv5)) (-. ((leq (n0) (pv5)) /\ ((leq (pv5) (minus (n999) (n1))) /\ ((All A, (All B, (((leq (n0) A) /\ ((leq (n0) B) /\ ((leq A (minus (n6) (n1))) /\ (leq B (minus (n6) (n1)))))) => ((a_select3 (q_ds1_filter) A B) = (a_select3 (q_ds1_filter) B A))))) /\ ((All C, (All D, (((leq (n0) C) /\ ((leq (n0) D) /\ ((leq C (minus (n3) (n1))) /\ (leq D (minus (n3) (n1)))))) => ((a_select3 (r_ds1_filter) C D) = (a_select3 (r_ds1_filter) D C))))) /\ ((All E, (All F, (((leq (n0) E) /\ ((leq (n0) F) /\ ((leq E (minus (n6) (n1))) /\ (leq F (minus (n6) (n1)))))) => ((a_select3 (pminus_ds1_filter) E F) = (a_select3 (pminus_ds1_filter) F E))))) /\ ((All E, (All F, (((leq (n0) E) /\ ((leq (n0) F) /\ ((leq E (minus (n6) (n1))) /\ (leq F (minus (n6) (n1)))))) => ((a_select3 (pminus_ds1_filter) E F) = (a_select3 (pminus_ds1_filter) F E))))) /\ (All I, (((leq (n0) I) /\ (leq I (minus (n6) (n1)))) => (All J, (((leq (n0) J) /\ (leq J (minus (n6) (n1)))) => ((a_select3 (id_ds1_filter) I J) = (a_select3 (id_ds1_filter) J I))))))))))))) (All I, (((leq (n0) I) /\ (leq I (minus (n6) (n1)))) => (All J, (((leq (n0) J) /\ (leq J (minus (n6) (n1)))) => ((a_select3 (id_ds1_filter) I J) = (a_select3 (id_ds1_filter) J I)))))) (All E, (All F, (((leq (n0) E) /\ ((leq (n0) F) /\ ((leq E (minus (n6) (n1))) /\ (leq F (minus (n6) (n1)))))) => ((a_select3 (pminus_ds1_filter) E F) = (a_select3 (pminus_ds1_filter) F E))))) (All C, (All D, (((leq (n0) C) /\ ((leq (n0) D) /\ ((leq C (minus (n3) (n1))) /\ (leq D (minus (n3) (n1)))))) => ((a_select3 (r_ds1_filter) C D) = (a_select3 (r_ds1_filter) D C))))) (All A, (All B, (((leq (n0) A) /\ ((leq (n0) B) /\ ((leq A (minus (n6) (n1))) /\ (leq B (minus (n6) (n1)))))) => ((a_select3 (q_ds1_filter) A B) = (a_select3 (q_ds1_filter) B A))))) (leq (pv5) (minus (n999) (n1))) ### Definition-Pseudo(leq) 11 % 2.44/2.62 13. (-. (((leq (n0) (pv5)) /\ ((leq (n0) (pv47)) /\ ((leq (pv5) (minus (n999) (n1))) /\ ((leq (pv47) (minus (n6) (n1))) /\ ((All A, (All B, (((leq (n0) A) /\ ((leq (n0) B) /\ ((leq A (minus (n6) (n1))) /\ (leq B (minus (n6) (n1)))))) => ((a_select3 (q_ds1_filter) A B) = (a_select3 (q_ds1_filter) B A))))) /\ ((All C, (All D, (((leq (n0) C) /\ ((leq (n0) D) /\ ((leq C (minus (n3) (n1))) /\ (leq D (minus (n3) (n1)))))) => ((a_select3 (r_ds1_filter) C D) = (a_select3 (r_ds1_filter) D C))))) /\ ((All E, (All F, (((leq (n0) E) /\ ((leq (n0) F) /\ ((leq E (minus (n6) (n1))) /\ (leq F (minus (n6) (n1)))))) => ((a_select3 (pminus_ds1_filter) E F) = (a_select3 (pminus_ds1_filter) F E))))) /\ ((All E, (All F, (((leq (n0) E) /\ ((leq (n0) F) /\ ((leq E (minus (n6) (n1))) /\ (leq F (minus (n6) (n1)))))) => ((a_select3 (pminus_ds1_filter) E F) = (a_select3 (pminus_ds1_filter) F E))))) /\ (All I, (((leq (n0) I) /\ (leq I (minus (n6) (n1)))) => (All J, (((leq (n0) J) /\ (leq J (minus (n6) (n1)))) => ((a_select3 (id_ds1_filter) I J) = (a_select3 (id_ds1_filter) J I)))))))))))))) => ((leq (n0) (pv5)) /\ ((leq (pv5) (minus (n999) (n1))) /\ ((All A, (All B, (((leq (n0) A) /\ ((leq (n0) B) /\ ((leq A (minus (n6) (n1))) /\ (leq B (minus (n6) (n1)))))) => ((a_select3 (q_ds1_filter) A B) = (a_select3 (q_ds1_filter) B A))))) /\ ((All C, (All D, (((leq (n0) C) /\ ((leq (n0) D) /\ ((leq C (minus (n3) (n1))) /\ (leq D (minus (n3) (n1)))))) => ((a_select3 (r_ds1_filter) C D) = (a_select3 (r_ds1_filter) D C))))) /\ ((All E, (All F, (((leq (n0) E) /\ ((leq (n0) F) /\ ((leq E (minus (n6) (n1))) /\ (leq F (minus (n6) (n1)))))) => ((a_select3 (pminus_ds1_filter) E F) = (a_select3 (pminus_ds1_filter) F E))))) /\ ((All E, (All F, (((leq (n0) E) /\ ((leq (n0) F) /\ ((leq E (minus (n6) (n1))) /\ (leq F (minus (n6) (n1)))))) => ((a_select3 (pminus_ds1_filter) E F) = (a_select3 (pminus_ds1_filter) F E))))) /\ (All I, (((leq (n0) I) /\ (leq I (minus (n6) (n1)))) => (All J, (((leq (n0) J) /\ (leq J (minus (n6) (n1)))) => ((a_select3 (id_ds1_filter) I J) = (a_select3 (id_ds1_filter) J I)))))))))))))) ### ConjTree 12 % 2.44/2.62 % SZS output end Proof % 2.44/2.62 (* END-PROOF *) %------------------------------------------------------------------------------