TSTP Solution File: NUM456+6 by SuperZenon---0.0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : NUM456+6 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% Computer : n013.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 : Mon Jul 18 14:42:37 EDT 2022
% Result : Theorem 0.57s 0.75s
% Output : Proof 0.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM456+6 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.12/0.33 % Computer : n013.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 : Thu Jul 7 14:33:44 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.57/0.75 % SZS status Theorem
% 0.57/0.75 (* PROOF-FOUND *)
% 0.57/0.75 (* BEGIN-PROOF *)
% 0.57/0.75 % SZS output start Proof
% 0.57/0.75 1. (aElementOf0 T_0 (szAzrzSzezqlpdtcmdtrp0 (sz10) (xp))) (-. (aElementOf0 T_0 (szAzrzSzezqlpdtcmdtrp0 (sz10) (xp)))) ### Axiom
% 0.57/0.75 2. (-. (aElementOf0 T_0 (stldt0 (sbsmnsldt0 (xS))))) (aElementOf0 T_0 (stldt0 (sbsmnsldt0 (xS)))) ### Axiom
% 0.57/0.75 3. ((aElementOf0 T_0 (szAzrzSzezqlpdtcmdtrp0 (sz10) (xp))) => (aElementOf0 T_0 (stldt0 (sbsmnsldt0 (xS))))) (-. (aElementOf0 T_0 (stldt0 (sbsmnsldt0 (xS))))) (aElementOf0 T_0 (szAzrzSzezqlpdtcmdtrp0 (sz10) (xp))) ### Imply 1 2
% 0.57/0.75 4. (All W0, ((aElementOf0 W0 (szAzrzSzezqlpdtcmdtrp0 (sz10) (xp))) => (aElementOf0 W0 (stldt0 (sbsmnsldt0 (xS)))))) (aElementOf0 T_0 (szAzrzSzezqlpdtcmdtrp0 (sz10) (xp))) (-. (aElementOf0 T_0 (stldt0 (sbsmnsldt0 (xS))))) ### All 3
% 0.57/0.75 5. (T_0 != (sz10)) (T_0 = (sz10)) ### Axiom
% 0.57/0.75 6. (T_0 != (smndt0 (sz10))) (T_0 = (smndt0 (sz10))) ### Axiom
% 0.57/0.75 7. ((T_0 = (sz10)) \/ (T_0 = (smndt0 (sz10)))) (T_0 != (smndt0 (sz10))) (T_0 != (sz10)) ### Or 5 6
% 0.57/0.75 8. ((aElementOf0 T_0 (stldt0 (sbsmnsldt0 (xS)))) <=> ((T_0 = (sz10)) \/ (T_0 = (smndt0 (sz10))))) (T_0 != (sz10)) (T_0 != (smndt0 (sz10))) (aElementOf0 T_0 (szAzrzSzezqlpdtcmdtrp0 (sz10) (xp))) (All W0, ((aElementOf0 W0 (szAzrzSzezqlpdtcmdtrp0 (sz10) (xp))) => (aElementOf0 W0 (stldt0 (sbsmnsldt0 (xS)))))) ### Equiv 4 7
% 0.57/0.75 9. (All W0, ((aElementOf0 W0 (stldt0 (sbsmnsldt0 (xS)))) <=> ((W0 = (sz10)) \/ (W0 = (smndt0 (sz10)))))) (All W0, ((aElementOf0 W0 (szAzrzSzezqlpdtcmdtrp0 (sz10) (xp))) => (aElementOf0 W0 (stldt0 (sbsmnsldt0 (xS)))))) (aElementOf0 T_0 (szAzrzSzezqlpdtcmdtrp0 (sz10) (xp))) (T_0 != (smndt0 (sz10))) (T_0 != (sz10)) ### All 8
% 0.57/0.75 10. ((aInteger0 T_0) /\ ((Ex W1, ((aInteger0 W1) /\ ((sdtasdt0 (xp) W1) = (sdtpldt0 T_0 (smndt0 (sz10)))))) /\ ((aDivisorOf0 (xp) (sdtpldt0 T_0 (smndt0 (sz10)))) /\ ((sdteqdtlpzmzozddtrp0 T_0 (sz10) (xp)) /\ ((aElementOf0 T_0 (szAzrzSzezqlpdtcmdtrp0 (sz10) (xp))) /\ (-. ((T_0 = (sz10)) \/ ((T_0 = (smndt0 (sz10))) \/ (aElementOf0 T_0 (cS2200)))))))))) (All W0, ((aElementOf0 W0 (szAzrzSzezqlpdtcmdtrp0 (sz10) (xp))) => (aElementOf0 W0 (stldt0 (sbsmnsldt0 (xS)))))) (All W0, ((aElementOf0 W0 (stldt0 (sbsmnsldt0 (xS)))) <=> ((W0 = (sz10)) \/ (W0 = (smndt0 (sz10)))))) ### ConjTree 9
% 0.57/0.75 11. (Ex W0, ((aInteger0 W0) /\ ((Ex W1, ((aInteger0 W1) /\ ((sdtasdt0 (xp) W1) = (sdtpldt0 W0 (smndt0 (sz10)))))) /\ ((aDivisorOf0 (xp) (sdtpldt0 W0 (smndt0 (sz10)))) /\ ((sdteqdtlpzmzozddtrp0 W0 (sz10) (xp)) /\ ((aElementOf0 W0 (szAzrzSzezqlpdtcmdtrp0 (sz10) (xp))) /\ (-. ((W0 = (sz10)) \/ ((W0 = (smndt0 (sz10))) \/ (aElementOf0 W0 (cS2200))))))))))) (All W0, ((aElementOf0 W0 (stldt0 (sbsmnsldt0 (xS)))) <=> ((W0 = (sz10)) \/ (W0 = (smndt0 (sz10)))))) (All W0, ((aElementOf0 W0 (szAzrzSzezqlpdtcmdtrp0 (sz10) (xp))) => (aElementOf0 W0 (stldt0 (sbsmnsldt0 (xS)))))) ### Exists 10
% 0.57/0.75 12. ((aInteger0 (xp)) /\ (((xp) != (sz00)) /\ ((aSet0 (szAzrzSzezqlpdtcmdtrp0 (sz10) (xp))) /\ ((All W0, (((aElementOf0 W0 (szAzrzSzezqlpdtcmdtrp0 (sz10) (xp))) => ((aInteger0 W0) /\ ((Ex W1, ((aInteger0 W1) /\ ((sdtasdt0 (xp) W1) = (sdtpldt0 W0 (smndt0 (sz10)))))) /\ ((aDivisorOf0 (xp) (sdtpldt0 W0 (smndt0 (sz10)))) /\ (sdteqdtlpzmzozddtrp0 W0 (sz10) (xp)))))) /\ (((aInteger0 W0) /\ ((Ex W1, ((aInteger0 W1) /\ ((sdtasdt0 (xp) W1) = (sdtpldt0 W0 (smndt0 (sz10)))))) \/ ((aDivisorOf0 (xp) (sdtpldt0 W0 (smndt0 (sz10)))) \/ (sdteqdtlpzmzozddtrp0 W0 (sz10) (xp))))) => (aElementOf0 W0 (szAzrzSzezqlpdtcmdtrp0 (sz10) (xp)))))) /\ ((aSet0 (sbsmnsldt0 (xS))) /\ ((All W0, ((aElementOf0 W0 (sbsmnsldt0 (xS))) <=> ((aInteger0 W0) /\ (Ex W1, ((aElementOf0 W1 (xS)) /\ (aElementOf0 W0 W1)))))) /\ ((All W0, ((aElementOf0 W0 (stldt0 (sbsmnsldt0 (xS)))) <=> ((aInteger0 W0) /\ (-. (aElementOf0 W0 (sbsmnsldt0 (xS))))))) /\ ((All W0, ((aElementOf0 W0 (szAzrzSzezqlpdtcmdtrp0 (sz10) (xp))) => (aElementOf0 W0 (stldt0 (sbsmnsldt0 (xS)))))) /\ (aSubsetOf0 (szAzrzSzezqlpdtcmdtrp0 (sz10) (xp)) (stldt0 (sbsmnsldt0 (xS)))))))))))) (All W0, ((aElementOf0 W0 (stldt0 (sbsmnsldt0 (xS)))) <=> ((W0 = (sz10)) \/ (W0 = (smndt0 (sz10)))))) (Ex W0, ((aInteger0 W0) /\ ((Ex W1, ((aInteger0 W1) /\ ((sdtasdt0 (xp) W1) = (sdtpldt0 W0 (smndt0 (sz10)))))) /\ ((aDivisorOf0 (xp) (sdtpldt0 W0 (smndt0 (sz10)))) /\ ((sdteqdtlpzmzozddtrp0 W0 (sz10) (xp)) /\ ((aElementOf0 W0 (szAzrzSzezqlpdtcmdtrp0 (sz10) (xp))) /\ (-. ((W0 = (sz10)) \/ ((W0 = (smndt0 (sz10))) \/ (aElementOf0 W0 (cS2200))))))))))) ### ConjTree 11
% 0.57/0.75 13. ((aSet0 (sbsmnsldt0 (xS))) /\ ((All W0, ((aElementOf0 W0 (sbsmnsldt0 (xS))) <=> ((aInteger0 W0) /\ (Ex W1, ((aElementOf0 W1 (xS)) /\ (aElementOf0 W0 W1)))))) /\ ((aSet0 (stldt0 (sbsmnsldt0 (xS)))) /\ ((All W0, ((aElementOf0 W0 (stldt0 (sbsmnsldt0 (xS)))) <=> ((aInteger0 W0) /\ (-. (aElementOf0 W0 (sbsmnsldt0 (xS))))))) /\ ((All W0, ((aElementOf0 W0 (stldt0 (sbsmnsldt0 (xS)))) <=> ((W0 = (sz10)) \/ (W0 = (smndt0 (sz10)))))) /\ ((stldt0 (sbsmnsldt0 (xS))) = (cS2076))))))) (Ex W0, ((aInteger0 W0) /\ ((Ex W1, ((aInteger0 W1) /\ ((sdtasdt0 (xp) W1) = (sdtpldt0 W0 (smndt0 (sz10)))))) /\ ((aDivisorOf0 (xp) (sdtpldt0 W0 (smndt0 (sz10)))) /\ ((sdteqdtlpzmzozddtrp0 W0 (sz10) (xp)) /\ ((aElementOf0 W0 (szAzrzSzezqlpdtcmdtrp0 (sz10) (xp))) /\ (-. ((W0 = (sz10)) \/ ((W0 = (smndt0 (sz10))) \/ (aElementOf0 W0 (cS2200))))))))))) ((aInteger0 (xp)) /\ (((xp) != (sz00)) /\ ((aSet0 (szAzrzSzezqlpdtcmdtrp0 (sz10) (xp))) /\ ((All W0, (((aElementOf0 W0 (szAzrzSzezqlpdtcmdtrp0 (sz10) (xp))) => ((aInteger0 W0) /\ ((Ex W1, ((aInteger0 W1) /\ ((sdtasdt0 (xp) W1) = (sdtpldt0 W0 (smndt0 (sz10)))))) /\ ((aDivisorOf0 (xp) (sdtpldt0 W0 (smndt0 (sz10)))) /\ (sdteqdtlpzmzozddtrp0 W0 (sz10) (xp)))))) /\ (((aInteger0 W0) /\ ((Ex W1, ((aInteger0 W1) /\ ((sdtasdt0 (xp) W1) = (sdtpldt0 W0 (smndt0 (sz10)))))) \/ ((aDivisorOf0 (xp) (sdtpldt0 W0 (smndt0 (sz10)))) \/ (sdteqdtlpzmzozddtrp0 W0 (sz10) (xp))))) => (aElementOf0 W0 (szAzrzSzezqlpdtcmdtrp0 (sz10) (xp)))))) /\ ((aSet0 (sbsmnsldt0 (xS))) /\ ((All W0, ((aElementOf0 W0 (sbsmnsldt0 (xS))) <=> ((aInteger0 W0) /\ (Ex W1, ((aElementOf0 W1 (xS)) /\ (aElementOf0 W0 W1)))))) /\ ((All W0, ((aElementOf0 W0 (stldt0 (sbsmnsldt0 (xS)))) <=> ((aInteger0 W0) /\ (-. (aElementOf0 W0 (sbsmnsldt0 (xS))))))) /\ ((All W0, ((aElementOf0 W0 (szAzrzSzezqlpdtcmdtrp0 (sz10) (xp))) => (aElementOf0 W0 (stldt0 (sbsmnsldt0 (xS)))))) /\ (aSubsetOf0 (szAzrzSzezqlpdtcmdtrp0 (sz10) (xp)) (stldt0 (sbsmnsldt0 (xS)))))))))))) ### ConjTree 12
% 0.57/0.75 % SZS output end Proof
% 0.57/0.75 (* END-PROOF *)
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