%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SYN069+1 : TPTP v8.1.0. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % Computer : n019.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 : Thu Jul 21 12:40:51 EDT 2022 % Result : Theorem 0.19s 0.40s % Output : Proof 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SYN069+1 : TPTP v8.1.0. Released v2.0.0. % 0.03/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.12/0.33 % Computer : n019.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 : Mon Jul 11 18:15:08 EDT 2022 % 0.12/0.33 % CPUTime : % 0.19/0.40 % SZS status Theorem % 0.19/0.40 (* PROOF-FOUND *) % 0.19/0.40 (* BEGIN-PROOF *) % 0.19/0.40 % SZS output start Proof % 0.19/0.40 1. (big_f T_0) (-. (big_f T_0)) ### Axiom % 0.19/0.40 2. (All Y, (((big_g Y) /\ (big_h T_0 Y)) => (big_j T_0 Y))) (-. (All Y, (((big_g Y) /\ (big_h T_0 Y)) => (big_j T_0 Y)))) ### Axiom % 0.19/0.40 3. (big_f T_0) (-. (big_f T_0)) ### Axiom % 0.19/0.40 4. (big_h T_0 T_1) (-. (big_h T_0 T_1)) ### Axiom % 0.19/0.40 5. (-. (big_l T_1)) (big_l T_1) ### Axiom % 0.19/0.40 6. ((big_h T_0 T_1) => (big_l T_1)) (-. (big_l T_1)) (big_h T_0 T_1) ### Imply 4 5 % 0.19/0.40 7. (All Y, ((big_h T_0 Y) => (big_l Y))) (big_h T_0 T_1) (-. (big_l T_1)) ### All 6 % 0.19/0.40 8. (-. (big_k T_1)) (big_k T_1) ### Axiom % 0.19/0.40 9. ((big_g T_1) /\ ((big_h T_0 T_1) /\ (big_k T_1))) (-. (big_k T_1)) ### ConjTree 8 % 0.19/0.40 10. (All Y1, ((big_g Y1) /\ ((big_h T_0 Y1) /\ (big_k Y1)))) (-. (big_k T_1)) ### All 9 % 0.19/0.40 11. (-. ((big_l T_1) /\ (big_k T_1))) (All Y1, ((big_g Y1) /\ ((big_h T_0 Y1) /\ (big_k Y1)))) (big_h T_0 T_1) (All Y, ((big_h T_0 Y) => (big_l Y))) ### NotAnd 7 10 % 0.19/0.40 12. (-. (Ex Y, ((big_l Y) /\ (big_k Y)))) (All Y, ((big_h T_0 Y) => (big_l Y))) (big_h T_0 T_1) (All Y1, ((big_g Y1) /\ ((big_h T_0 Y1) /\ (big_k Y1)))) ### NotExists 11 % 0.19/0.40 13. ((big_g T_1) /\ (big_h T_0 T_1)) (All Y1, ((big_g Y1) /\ ((big_h T_0 Y1) /\ (big_k Y1)))) (All Y, ((big_h T_0 Y) => (big_l Y))) (-. (Ex Y, ((big_l Y) /\ (big_k Y)))) ### And 12 % 0.19/0.40 14. (Ex Y, ((big_g Y) /\ (big_h T_0 Y))) (-. (Ex Y, ((big_l Y) /\ (big_k Y)))) (All Y, ((big_h T_0 Y) => (big_l Y))) (All Y1, ((big_g Y1) /\ ((big_h T_0 Y1) /\ (big_k Y1)))) ### Exists 13 % 0.19/0.40 15. (-. (-. (Ex Y, ((big_g Y) /\ (big_h T_0 Y))))) (All Y1, ((big_g Y1) /\ ((big_h T_0 Y1) /\ (big_k Y1)))) (All Y, ((big_h T_0 Y) => (big_l Y))) (-. (Ex Y, ((big_l Y) /\ (big_k Y)))) ### NotNot 14 % 0.19/0.40 16. (-. ((big_f T_0) /\ (-. (Ex Y, ((big_g Y) /\ (big_h T_0 Y)))))) (-. (Ex Y, ((big_l Y) /\ (big_k Y)))) (All Y, ((big_h T_0 Y) => (big_l Y))) (All Y1, ((big_g Y1) /\ ((big_h T_0 Y1) /\ (big_k Y1)))) (big_f T_0) ### NotAnd 3 15 % 0.19/0.40 17. (-. (Ex X, ((big_f X) /\ (-. (Ex Y, ((big_g Y) /\ (big_h X Y))))))) (big_f T_0) (All Y1, ((big_g Y1) /\ ((big_h T_0 Y1) /\ (big_k Y1)))) (All Y, ((big_h T_0 Y) => (big_l Y))) (-. (Ex Y, ((big_l Y) /\ (big_k Y)))) ### NotExists 16 % 0.19/0.40 18. (((big_f T_0) /\ (All Y, (((big_g Y) /\ (big_h T_0 Y)) => (big_j T_0 Y)))) => (All Y1, ((big_g Y1) /\ ((big_h T_0 Y1) /\ (big_k Y1))))) (-. (Ex Y, ((big_l Y) /\ (big_k Y)))) (All Y, ((big_h T_0 Y) => (big_l Y))) (-. (Ex X, ((big_f X) /\ (-. (Ex Y, ((big_g Y) /\ (big_h X Y))))))) (All Y, (((big_g Y) /\ (big_h T_0 Y)) => (big_j T_0 Y))) (big_f T_0) ### DisjTree 1 2 17 % 0.19/0.40 19. (All X, (((big_f X) /\ (All Y, (((big_g Y) /\ (big_h X Y)) => (big_j X Y)))) => (All Y1, ((big_g Y1) /\ ((big_h X Y1) /\ (big_k Y1)))))) (big_f T_0) (All Y, (((big_g Y) /\ (big_h T_0 Y)) => (big_j T_0 Y))) (-. (Ex X, ((big_f X) /\ (-. (Ex Y, ((big_g Y) /\ (big_h X Y))))))) (All Y, ((big_h T_0 Y) => (big_l Y))) (-. (Ex Y, ((big_l Y) /\ (big_k Y)))) ### All 18 % 0.19/0.40 20. ((big_f T_0) /\ ((All Y, ((big_h T_0 Y) => (big_l Y))) /\ (All Y, (((big_g Y) /\ (big_h T_0 Y)) => (big_j T_0 Y))))) (-. (Ex Y, ((big_l Y) /\ (big_k Y)))) (-. (Ex X, ((big_f X) /\ (-. (Ex Y, ((big_g Y) /\ (big_h X Y))))))) (All X, (((big_f X) /\ (All Y, (((big_g Y) /\ (big_h X Y)) => (big_j X Y)))) => (All Y1, ((big_g Y1) /\ ((big_h X Y1) /\ (big_k Y1)))))) ### ConjTree 19 % 0.19/0.40 21. (Ex X, ((big_f X) /\ ((All Y, ((big_h X Y) => (big_l Y))) /\ (All Y, (((big_g Y) /\ (big_h X Y)) => (big_j X Y)))))) (All X, (((big_f X) /\ (All Y, (((big_g Y) /\ (big_h X Y)) => (big_j X Y)))) => (All Y1, ((big_g Y1) /\ ((big_h X Y1) /\ (big_k Y1)))))) (-. (Ex X, ((big_f X) /\ (-. (Ex Y, ((big_g Y) /\ (big_h X Y))))))) (-. (Ex Y, ((big_l Y) /\ (big_k Y)))) ### Exists 20 % 0.19/0.40 % SZS output end Proof % 0.19/0.40 (* END-PROOF *) %------------------------------------------------------------------------------