%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SWV412+1 : TPTP v8.1.0. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % Computer : n025.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 21:51:16 EDT 2022 % Result : Theorem 0.19s 0.42s % Output : Proof 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV412+1 : TPTP v8.1.0. Released v3.3.0. % 0.11/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.12/0.34 % Computer : n025.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 600 % 0.12/0.34 % DateTime : Wed Jun 15 21:26:25 EDT 2022 % 0.12/0.34 % CPUTime : % 0.19/0.42 % SZS status Theorem % 0.19/0.42 (* PROOF-FOUND *) % 0.19/0.42 (* BEGIN-PROOF *) % 0.19/0.42 % SZS output start Proof % 0.19/0.42 1. (pair_in_list T_0 T_1 T_2) (-. (pair_in_list T_0 T_1 T_2)) ### Axiom % 0.19/0.42 2. (strictly_less_than T_2 T_3) (-. (strictly_less_than T_2 T_3)) ### Axiom % 0.19/0.42 3. (-. (pair_in_list (update_slb T_0 T_3) T_1 T_3)) (pair_in_list (update_slb T_0 T_3) T_1 T_3) ### Axiom % 0.19/0.42 4. (((pair_in_list T_0 T_1 T_2) /\ (strictly_less_than T_2 T_3)) => (pair_in_list (update_slb T_0 T_3) T_1 T_3)) (-. (pair_in_list (update_slb T_0 T_3) T_1 T_3)) (strictly_less_than T_2 T_3) (pair_in_list T_0 T_1 T_2) ### DisjTree 1 2 3 % 0.19/0.42 5. (All X, (((pair_in_list T_0 T_1 T_2) /\ (strictly_less_than T_2 X)) => (pair_in_list (update_slb T_0 X) T_1 X))) (pair_in_list T_0 T_1 T_2) (strictly_less_than T_2 T_3) (-. (pair_in_list (update_slb T_0 T_3) T_1 T_3)) ### All 4 % 0.19/0.42 6. (All W, (All X, (((pair_in_list T_0 T_1 W) /\ (strictly_less_than W X)) => (pair_in_list (update_slb T_0 X) T_1 X)))) (-. (pair_in_list (update_slb T_0 T_3) T_1 T_3)) (strictly_less_than T_2 T_3) (pair_in_list T_0 T_1 T_2) ### All 5 % 0.19/0.42 7. (All V, (All W, (All X, (((pair_in_list T_0 V W) /\ (strictly_less_than W X)) => (pair_in_list (update_slb T_0 X) V X))))) (pair_in_list T_0 T_1 T_2) (strictly_less_than T_2 T_3) (-. (pair_in_list (update_slb T_0 T_3) T_1 T_3)) ### All 6 % 0.19/0.42 8. (All U, (All V, (All W, (All X, (((pair_in_list U V W) /\ (strictly_less_than W X)) => (pair_in_list (update_slb U X) V X)))))) (-. (pair_in_list (update_slb T_0 T_3) T_1 T_3)) (strictly_less_than T_2 T_3) (pair_in_list T_0 T_1 T_2) ### All 7 % 0.19/0.42 9. (-. (((pair_in_list T_0 T_1 T_2) /\ ((strictly_less_than T_1 T_3) /\ (strictly_less_than T_2 T_3))) => (pair_in_list (update_slb T_0 T_3) T_1 T_3))) (All U, (All V, (All W, (All X, (((pair_in_list U V W) /\ (strictly_less_than W X)) => (pair_in_list (update_slb U X) V X)))))) ### ConjTree 8 % 0.19/0.42 10. (-. (All X, (((pair_in_list T_0 T_1 T_2) /\ ((strictly_less_than T_1 X) /\ (strictly_less_than T_2 X))) => (pair_in_list (update_slb T_0 X) T_1 X)))) (All U, (All V, (All W, (All X, (((pair_in_list U V W) /\ (strictly_less_than W X)) => (pair_in_list (update_slb U X) V X)))))) ### NotAllEx 9 % 0.19/0.42 11. (-. (All W, (All X, (((pair_in_list T_0 T_1 W) /\ ((strictly_less_than T_1 X) /\ (strictly_less_than W X))) => (pair_in_list (update_slb T_0 X) T_1 X))))) (All U, (All V, (All W, (All X, (((pair_in_list U V W) /\ (strictly_less_than W X)) => (pair_in_list (update_slb U X) V X)))))) ### NotAllEx 10 % 0.19/0.42 12. (-. (All V, (All W, (All X, (((pair_in_list T_0 V W) /\ ((strictly_less_than V X) /\ (strictly_less_than W X))) => (pair_in_list (update_slb T_0 X) V X)))))) (All U, (All V, (All W, (All X, (((pair_in_list U V W) /\ (strictly_less_than W X)) => (pair_in_list (update_slb U X) V X)))))) ### NotAllEx 11 % 0.19/0.42 13. (-. (All U, (All V, (All W, (All X, (((pair_in_list U V W) /\ ((strictly_less_than V X) /\ (strictly_less_than W X))) => (pair_in_list (update_slb U X) V X))))))) (All U, (All V, (All W, (All X, (((pair_in_list U V W) /\ (strictly_less_than W X)) => (pair_in_list (update_slb U X) V X)))))) ### NotAllEx 12 % 0.19/0.42 % SZS output end Proof % 0.19/0.42 (* END-PROOF *) %------------------------------------------------------------------------------