%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : MSC010+1 : TPTP v8.1.0. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % Computer : n023.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 : Sun Jul 17 23:00:22 EDT 2022 % Result : Theorem 0.12s 0.38s % Output : Proof 0.12s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : MSC010+1 : TPTP v8.1.0. Released v3.1.0. % 0.07/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.12/0.32 % Computer : n023.cluster.edu % 0.12/0.32 % Model : x86_64 x86_64 % 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.32 % Memory : 8042.1875MB % 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.32 % CPULimit : 300 % 0.12/0.32 % WCLimit : 600 % 0.12/0.32 % DateTime : Fri Jul 1 16:12:44 EDT 2022 % 0.12/0.32 % CPUTime : % 0.12/0.38 % SZS status Theorem % 0.12/0.38 (* PROOF-FOUND *) % 0.12/0.38 (* BEGIN-PROOF *) % 0.12/0.38 % SZS output start Proof % 0.12/0.38 1. ((((pv63) != (pv64)) /\ ((leq (n0) (pv5)) /\ ((leq (n0) (pv63)) /\ ((leq (n0) (pv64)) /\ ((leq (pv5) (n998)) /\ ((leq (pv63) (n5)) /\ ((leq (pv64) (n5)) /\ ((All X1, (All X2, (((leq (n0) X1) /\ ((leq (n0) X2) /\ ((leq X1 (n2)) /\ (leq X2 (n5))))) => ((a_select3 (h_ds1_filter_init) X1 X2) = (init))))) /\ ((All X3, (All X4, (((leq (n0) X3) /\ ((leq (n0) X4) /\ ((leq X3 (n5)) /\ (leq X4 (n5))))) => ((a_select3 (phi_ds1_filter_init) X3 X4) = (init))))) /\ ((All X5, (All X6, (((leq (n0) X5) /\ ((leq (n0) X6) /\ ((leq X5 (n5)) /\ (leq X6 (n0))))) => ((a_select3 (dv_ds1_filter_init) X5 X6) = (init))))) /\ ((All X7, (All X8, (((leq (n0) X7) /\ ((leq (n0) X8) /\ ((leq X7 (n5)) /\ (leq X8 (n5))))) => ((a_select3 (q_ds1_filter_init) X7 X8) = (init))))) /\ ((All X9, (All X10, (((leq (n0) X9) /\ ((leq (n0) X10) /\ ((leq X9 (n2)) /\ (leq X10 (n2))))) => ((a_select3 (r_ds1_filter_init) X9 X10) = (init))))) /\ ((All X11, (All X12, (((leq (n0) X11) /\ ((leq (n0) X12) /\ ((leq X11 (n5)) /\ (leq X12 (n0))))) => ((a_select3 (xhatmin_ds1_filter_init) X11 X12) = (init))))) /\ ((All X13, (All X14, (((leq (n0) X13) /\ ((leq (n0) X14) /\ ((leq X13 (n5)) /\ (leq X14 (n5))))) => ((a_select3 (pminus_ds1_filter_init) X13 X14) = (init))))) /\ ((All X15, (All X16, (((leq (n0) X15) /\ ((leq (n0) X16) /\ ((leq X15 (n5)) /\ (leq X16 (n5))))) => (((X15 = (pv63)) /\ (gt (pv64) X16)) => ((a_select3 (id_ds1_filter_init) X15 X16) = (init)))))) /\ ((All X17, (All X18, (((leq (n0) X17) /\ ((leq (n0) X18) /\ ((leq X17 (n5)) /\ (leq X18 (n5))))) => ((gt (pv63) X17) => ((a_select3 (id_ds1_filter_init) X17 X18) = (init)))))) /\ (All X19, (((leq (n0) X19) /\ (leq X19 (pred (pv63)))) => (All X20, (((leq (n0) X20) /\ (leq X20 (n5))) => ((a_select3 (id_ds1_filter_init) X19 X20) = (init)))))))))))))))))))))) => (All X21, (All X22, (((leq (n0) X21) /\ ((leq (n0) X22) /\ ((leq X21 (n5)) /\ (leq X22 (n5))))) => ((((pv64) != X22) /\ ((X21 = (pv63)) /\ (leq X22 (pv64)))) => ((a_select3 (id_ds1_filter_init) X21 X22) = (init))))))) (-. ((((pv63) != (pv64)) /\ ((leq (n0) (pv5)) /\ ((leq (n0) (pv63)) /\ ((leq (n0) (pv64)) /\ ((leq (pv5) (n998)) /\ ((leq (pv63) (n5)) /\ ((leq (pv64) (n5)) /\ ((All X1, (All X2, (((leq (n0) X1) /\ ((leq (n0) X2) /\ ((leq X1 (n2)) /\ (leq X2 (n5))))) => ((a_select3 (h_ds1_filter_init) X1 X2) = (init))))) /\ ((All X3, (All X4, (((leq (n0) X3) /\ ((leq (n0) X4) /\ ((leq X3 (n5)) /\ (leq X4 (n5))))) => ((a_select3 (phi_ds1_filter_init) X3 X4) = (init))))) /\ ((All X5, (All X6, (((leq (n0) X5) /\ ((leq (n0) X6) /\ ((leq X5 (n5)) /\ (leq X6 (n0))))) => ((a_select3 (dv_ds1_filter_init) X5 X6) = (init))))) /\ ((All X7, (All X8, (((leq (n0) X7) /\ ((leq (n0) X8) /\ ((leq X7 (n5)) /\ (leq X8 (n5))))) => ((a_select3 (q_ds1_filter_init) X7 X8) = (init))))) /\ ((All X9, (All X10, (((leq (n0) X9) /\ ((leq (n0) X10) /\ ((leq X9 (n2)) /\ (leq X10 (n2))))) => ((a_select3 (r_ds1_filter_init) X9 X10) = (init))))) /\ ((All X11, (All X12, (((leq (n0) X11) /\ ((leq (n0) X12) /\ ((leq X11 (n5)) /\ (leq X12 (n0))))) => ((a_select3 (xhatmin_ds1_filter_init) X11 X12) = (init))))) /\ ((All X13, (All X14, (((leq (n0) X13) /\ ((leq (n0) X14) /\ ((leq X13 (n5)) /\ (leq X14 (n5))))) => ((a_select3 (pminus_ds1_filter_init) X13 X14) = (init))))) /\ ((All X15, (All X16, (((leq (n0) X15) /\ ((leq (n0) X16) /\ ((leq X15 (n5)) /\ (leq X16 (n5))))) => (((X15 = (pv63)) /\ (gt (pv64) X16)) => ((a_select3 (id_ds1_filter_init) X15 X16) = (init)))))) /\ ((All X17, (All X18, (((leq (n0) X17) /\ ((leq (n0) X18) /\ ((leq X17 (n5)) /\ (leq X18 (n5))))) => ((gt (pv63) X17) => ((a_select3 (id_ds1_filter_init) X17 X18) = (init)))))) /\ (All X19, (((leq (n0) X19) /\ (leq X19 (pred (pv63)))) => (All X20, (((leq (n0) X20) /\ (leq X20 (n5))) => ((a_select3 (id_ds1_filter_init) X19 X20) = (init)))))))))))))))))))))) => (All X21, (All X22, (((leq (n0) X21) /\ ((leq (n0) X22) /\ ((leq X21 (n5)) /\ (leq X22 (n5))))) => ((((pv64) != X22) /\ ((X21 = (pv63)) /\ (leq X22 (pv64)))) => ((a_select3 (id_ds1_filter_init) X21 X22) = (init)))))))) ### Axiom % 0.12/0.38 2. (-. (-. (-. ((((pv63) != (pv64)) /\ ((leq (n0) (pv5)) /\ ((leq (n0) (pv63)) /\ ((leq (n0) (pv64)) /\ ((leq (pv5) (n998)) /\ ((leq (pv63) (n5)) /\ ((leq (pv64) (n5)) /\ ((All X1, (All X2, (((leq (n0) X1) /\ ((leq (n0) X2) /\ ((leq X1 (n2)) /\ (leq X2 (n5))))) => ((a_select3 (h_ds1_filter_init) X1 X2) = (init))))) /\ ((All X3, (All X4, (((leq (n0) X3) /\ ((leq (n0) X4) /\ ((leq X3 (n5)) /\ (leq X4 (n5))))) => ((a_select3 (phi_ds1_filter_init) X3 X4) = (init))))) /\ ((All X5, (All X6, (((leq (n0) X5) /\ ((leq (n0) X6) /\ ((leq X5 (n5)) /\ (leq X6 (n0))))) => ((a_select3 (dv_ds1_filter_init) X5 X6) = (init))))) /\ ((All X7, (All X8, (((leq (n0) X7) /\ ((leq (n0) X8) /\ ((leq X7 (n5)) /\ (leq X8 (n5))))) => ((a_select3 (q_ds1_filter_init) X7 X8) = (init))))) /\ ((All X9, (All X10, (((leq (n0) X9) /\ ((leq (n0) X10) /\ ((leq X9 (n2)) /\ (leq X10 (n2))))) => ((a_select3 (r_ds1_filter_init) X9 X10) = (init))))) /\ ((All X11, (All X12, (((leq (n0) X11) /\ ((leq (n0) X12) /\ ((leq X11 (n5)) /\ (leq X12 (n0))))) => ((a_select3 (xhatmin_ds1_filter_init) X11 X12) = (init))))) /\ ((All X13, (All X14, (((leq (n0) X13) /\ ((leq (n0) X14) /\ ((leq X13 (n5)) /\ (leq X14 (n5))))) => ((a_select3 (pminus_ds1_filter_init) X13 X14) = (init))))) /\ ((All X15, (All X16, (((leq (n0) X15) /\ ((leq (n0) X16) /\ ((leq X15 (n5)) /\ (leq X16 (n5))))) => (((X15 = (pv63)) /\ (gt (pv64) X16)) => ((a_select3 (id_ds1_filter_init) X15 X16) = (init)))))) /\ ((All X17, (All X18, (((leq (n0) X17) /\ ((leq (n0) X18) /\ ((leq X17 (n5)) /\ (leq X18 (n5))))) => ((gt (pv63) X17) => ((a_select3 (id_ds1_filter_init) X17 X18) = (init)))))) /\ (All X19, (((leq (n0) X19) /\ (leq X19 (pred (pv63)))) => (All X20, (((leq (n0) X20) /\ (leq X20 (n5))) => ((a_select3 (id_ds1_filter_init) X19 X20) = (init)))))))))))))))))))))) => (All X21, (All X22, (((leq (n0) X21) /\ ((leq (n0) X22) /\ ((leq X21 (n5)) /\ (leq X22 (n5))))) => ((((pv64) != X22) /\ ((X21 = (pv63)) /\ (leq X22 (pv64)))) => ((a_select3 (id_ds1_filter_init) X21 X22) = (init)))))))))) ((((pv63) != (pv64)) /\ ((leq (n0) (pv5)) /\ ((leq (n0) (pv63)) /\ ((leq (n0) (pv64)) /\ ((leq (pv5) (n998)) /\ ((leq (pv63) (n5)) /\ ((leq (pv64) (n5)) /\ ((All X1, (All X2, (((leq (n0) X1) /\ ((leq (n0) X2) /\ ((leq X1 (n2)) /\ (leq X2 (n5))))) => ((a_select3 (h_ds1_filter_init) X1 X2) = (init))))) /\ ((All X3, (All X4, (((leq (n0) X3) /\ ((leq (n0) X4) /\ ((leq X3 (n5)) /\ (leq X4 (n5))))) => ((a_select3 (phi_ds1_filter_init) X3 X4) = (init))))) /\ ((All X5, (All X6, (((leq (n0) X5) /\ ((leq (n0) X6) /\ ((leq X5 (n5)) /\ (leq X6 (n0))))) => ((a_select3 (dv_ds1_filter_init) X5 X6) = (init))))) /\ ((All X7, (All X8, (((leq (n0) X7) /\ ((leq (n0) X8) /\ ((leq X7 (n5)) /\ (leq X8 (n5))))) => ((a_select3 (q_ds1_filter_init) X7 X8) = (init))))) /\ ((All X9, (All X10, (((leq (n0) X9) /\ ((leq (n0) X10) /\ ((leq X9 (n2)) /\ (leq X10 (n2))))) => ((a_select3 (r_ds1_filter_init) X9 X10) = (init))))) /\ ((All X11, (All X12, (((leq (n0) X11) /\ ((leq (n0) X12) /\ ((leq X11 (n5)) /\ (leq X12 (n0))))) => ((a_select3 (xhatmin_ds1_filter_init) X11 X12) = (init))))) /\ ((All X13, (All X14, (((leq (n0) X13) /\ ((leq (n0) X14) /\ ((leq X13 (n5)) /\ (leq X14 (n5))))) => ((a_select3 (pminus_ds1_filter_init) X13 X14) = (init))))) /\ ((All X15, (All X16, (((leq (n0) X15) /\ ((leq (n0) X16) /\ ((leq X15 (n5)) /\ (leq X16 (n5))))) => (((X15 = (pv63)) /\ (gt (pv64) X16)) => ((a_select3 (id_ds1_filter_init) X15 X16) = (init)))))) /\ ((All X17, (All X18, (((leq (n0) X17) /\ ((leq (n0) X18) /\ ((leq X17 (n5)) /\ (leq X18 (n5))))) => ((gt (pv63) X17) => ((a_select3 (id_ds1_filter_init) X17 X18) = (init)))))) /\ (All X19, (((leq (n0) X19) /\ (leq X19 (pred (pv63)))) => (All X20, (((leq (n0) X20) /\ (leq X20 (n5))) => ((a_select3 (id_ds1_filter_init) X19 X20) = (init)))))))))))))))))))))) => (All X21, (All X22, (((leq (n0) X21) /\ ((leq (n0) X22) /\ ((leq X21 (n5)) /\ (leq X22 (n5))))) => ((((pv64) != X22) /\ ((X21 = (pv63)) /\ (leq X22 (pv64)))) => ((a_select3 (id_ds1_filter_init) X21 X22) = (init))))))) ### NotNot 1 % 0.12/0.38 % SZS output end Proof % 0.12/0.38 (* END-PROOF *) %------------------------------------------------------------------------------