TSTP Solution File: NUM423+3 by SuperZenon---0.0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : NUM423+3 : 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 : n004.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 14:42:18 EDT 2022
% Result : Theorem 243.51s 243.71s
% Output : Proof 243.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM423+3 : 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 : n004.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 : Tue Jul 5 18:32:22 EDT 2022
% 0.12/0.33 % CPUTime :
% 243.51/243.71 % SZS status Theorem
% 243.51/243.71 (* PROOF-FOUND *)
% 243.51/243.71 (* BEGIN-PROOF *)
% 243.51/243.71 % SZS output start Proof
% 243.51/243.71 1. (aInteger0 (sz00)) (-. (aInteger0 (sz00))) ### Axiom
% 243.51/243.71 2. (aInteger0 (xa)) (-. (aInteger0 (xa))) ### Axiom
% 243.51/243.71 3. (aInteger0 (xq)) (-. (aInteger0 (xq))) ### Axiom
% 243.51/243.71 4. (aInteger0 (xa)) (-. (aInteger0 (xa))) ### Axiom
% 243.51/243.71 5. (-. (aInteger0 (smndt0 (xa)))) (aInteger0 (smndt0 (xa))) ### Axiom
% 243.51/243.71 6. ((aInteger0 (xa)) => (aInteger0 (smndt0 (xa)))) (-. (aInteger0 (smndt0 (xa)))) (aInteger0 (xa)) ### Imply 4 5
% 243.51/243.71 7. (All W0, ((aInteger0 W0) => (aInteger0 (smndt0 W0)))) (aInteger0 (xa)) (-. (aInteger0 (smndt0 (xa)))) ### All 6
% 243.51/243.71 8. (aInteger0 (xa)) (-. (aInteger0 (xa))) ### Axiom
% 243.51/243.71 9. ((sdtasdt0 (xq) (sz00)) = (sz00)) ((sdtasdt0 (xq) (sz00)) != (sz00)) ### Axiom
% 243.51/243.71 10. ((sdtasdt0 (xq) (sz00)) = (sz00)) ((sdtasdt0 (xq) (sz00)) != (sz00)) ### Axiom
% 243.51/243.71 11. ((sdtpldt0 (smndt0 (xa)) (xa)) = (sdtpldt0 (xa) (smndt0 (xa)))) ((sdtpldt0 (smndt0 (xa)) (xa)) != (sdtpldt0 (xa) (smndt0 (xa)))) ### Axiom
% 243.51/243.71 12. ((sdtasdt0 (xq) (sz00)) != (sdtpldt0 (xa) (smndt0 (xa)))) ((sz00) = (sdtpldt0 (smndt0 (xa)) (xa))) ((sdtpldt0 (smndt0 (xa)) (xa)) = (sdtpldt0 (xa) (smndt0 (xa)))) ((sdtasdt0 (xq) (sz00)) = (sz00)) ### TransEq 9 10 11
% 243.51/243.71 13. (((aInteger0 (smndt0 (xa))) /\ (aInteger0 (xa))) => ((sdtpldt0 (smndt0 (xa)) (xa)) = (sdtpldt0 (xa) (smndt0 (xa))))) ((sdtasdt0 (xq) (sz00)) = (sz00)) ((sz00) = (sdtpldt0 (smndt0 (xa)) (xa))) ((sdtasdt0 (xq) (sz00)) != (sdtpldt0 (xa) (smndt0 (xa)))) (aInteger0 (xa)) (All W0, ((aInteger0 W0) => (aInteger0 (smndt0 W0)))) ### DisjTree 7 8 12
% 243.51/243.71 14. (All W1, (((aInteger0 (smndt0 (xa))) /\ (aInteger0 W1)) => ((sdtpldt0 (smndt0 (xa)) W1) = (sdtpldt0 W1 (smndt0 (xa)))))) (All W0, ((aInteger0 W0) => (aInteger0 (smndt0 W0)))) (aInteger0 (xa)) ((sdtasdt0 (xq) (sz00)) != (sdtpldt0 (xa) (smndt0 (xa)))) ((sz00) = (sdtpldt0 (smndt0 (xa)) (xa))) ((sdtasdt0 (xq) (sz00)) = (sz00)) ### All 13
% 243.51/243.71 15. (((sdtasdt0 (xq) (sz00)) = (sz00)) /\ ((sz00) = (sdtasdt0 (sz00) (xq)))) ((sz00) = (sdtpldt0 (smndt0 (xa)) (xa))) ((sdtasdt0 (xq) (sz00)) != (sdtpldt0 (xa) (smndt0 (xa)))) (aInteger0 (xa)) (All W0, ((aInteger0 W0) => (aInteger0 (smndt0 W0)))) (All W1, (((aInteger0 (smndt0 (xa))) /\ (aInteger0 W1)) => ((sdtpldt0 (smndt0 (xa)) W1) = (sdtpldt0 W1 (smndt0 (xa)))))) ### And 14
% 243.51/243.71 16. ((aInteger0 (xq)) => (((sdtasdt0 (xq) (sz00)) = (sz00)) /\ ((sz00) = (sdtasdt0 (sz00) (xq))))) (All W1, (((aInteger0 (smndt0 (xa))) /\ (aInteger0 W1)) => ((sdtpldt0 (smndt0 (xa)) W1) = (sdtpldt0 W1 (smndt0 (xa)))))) (All W0, ((aInteger0 W0) => (aInteger0 (smndt0 W0)))) (aInteger0 (xa)) ((sdtasdt0 (xq) (sz00)) != (sdtpldt0 (xa) (smndt0 (xa)))) ((sz00) = (sdtpldt0 (smndt0 (xa)) (xa))) (aInteger0 (xq)) ### Imply 3 15
% 243.51/243.71 17. (All W0, ((aInteger0 W0) => (((sdtasdt0 W0 (sz00)) = (sz00)) /\ ((sz00) = (sdtasdt0 (sz00) W0))))) (aInteger0 (xq)) ((sz00) = (sdtpldt0 (smndt0 (xa)) (xa))) ((sdtasdt0 (xq) (sz00)) != (sdtpldt0 (xa) (smndt0 (xa)))) (aInteger0 (xa)) (All W0, ((aInteger0 W0) => (aInteger0 (smndt0 W0)))) (All W1, (((aInteger0 (smndt0 (xa))) /\ (aInteger0 W1)) => ((sdtpldt0 (smndt0 (xa)) W1) = (sdtpldt0 W1 (smndt0 (xa)))))) ### All 16
% 243.51/243.71 18. (((sdtpldt0 (xa) (smndt0 (xa))) = (sz00)) /\ ((sz00) = (sdtpldt0 (smndt0 (xa)) (xa)))) (All W1, (((aInteger0 (smndt0 (xa))) /\ (aInteger0 W1)) => ((sdtpldt0 (smndt0 (xa)) W1) = (sdtpldt0 W1 (smndt0 (xa)))))) (All W0, ((aInteger0 W0) => (aInteger0 (smndt0 W0)))) (aInteger0 (xa)) ((sdtasdt0 (xq) (sz00)) != (sdtpldt0 (xa) (smndt0 (xa)))) (aInteger0 (xq)) (All W0, ((aInteger0 W0) => (((sdtasdt0 W0 (sz00)) = (sz00)) /\ ((sz00) = (sdtasdt0 (sz00) W0))))) ### And 17
% 243.51/243.71 19. ((aInteger0 (xa)) => (((sdtpldt0 (xa) (smndt0 (xa))) = (sz00)) /\ ((sz00) = (sdtpldt0 (smndt0 (xa)) (xa))))) (All W0, ((aInteger0 W0) => (((sdtasdt0 W0 (sz00)) = (sz00)) /\ ((sz00) = (sdtasdt0 (sz00) W0))))) (aInteger0 (xq)) ((sdtasdt0 (xq) (sz00)) != (sdtpldt0 (xa) (smndt0 (xa)))) (All W0, ((aInteger0 W0) => (aInteger0 (smndt0 W0)))) (All W1, (((aInteger0 (smndt0 (xa))) /\ (aInteger0 W1)) => ((sdtpldt0 (smndt0 (xa)) W1) = (sdtpldt0 W1 (smndt0 (xa)))))) (aInteger0 (xa)) ### Imply 2 18
% 243.51/243.71 20. (All W0, ((aInteger0 W0) => (((sdtpldt0 W0 (smndt0 W0)) = (sz00)) /\ ((sz00) = (sdtpldt0 (smndt0 W0) W0))))) (aInteger0 (xa)) (All W1, (((aInteger0 (smndt0 (xa))) /\ (aInteger0 W1)) => ((sdtpldt0 (smndt0 (xa)) W1) = (sdtpldt0 W1 (smndt0 (xa)))))) (All W0, ((aInteger0 W0) => (aInteger0 (smndt0 W0)))) ((sdtasdt0 (xq) (sz00)) != (sdtpldt0 (xa) (smndt0 (xa)))) (aInteger0 (xq)) (All W0, ((aInteger0 W0) => (((sdtasdt0 W0 (sz00)) = (sz00)) /\ ((sz00) = (sdtasdt0 (sz00) W0))))) ### All 19
% 243.51/243.71 21. (All W0, (All W1, (((aInteger0 W0) /\ (aInteger0 W1)) => ((sdtpldt0 W0 W1) = (sdtpldt0 W1 W0))))) (All W0, ((aInteger0 W0) => (((sdtasdt0 W0 (sz00)) = (sz00)) /\ ((sz00) = (sdtasdt0 (sz00) W0))))) (aInteger0 (xq)) ((sdtasdt0 (xq) (sz00)) != (sdtpldt0 (xa) (smndt0 (xa)))) (All W0, ((aInteger0 W0) => (aInteger0 (smndt0 W0)))) (aInteger0 (xa)) (All W0, ((aInteger0 W0) => (((sdtpldt0 W0 (smndt0 W0)) = (sz00)) /\ ((sz00) = (sdtpldt0 (smndt0 W0) W0))))) ### All 20
% 243.51/243.71 22. (-. ((aInteger0 (sz00)) /\ ((sdtasdt0 (xq) (sz00)) = (sdtpldt0 (xa) (smndt0 (xa)))))) (All W0, ((aInteger0 W0) => (((sdtpldt0 W0 (smndt0 W0)) = (sz00)) /\ ((sz00) = (sdtpldt0 (smndt0 W0) W0))))) (aInteger0 (xa)) (All W0, ((aInteger0 W0) => (aInteger0 (smndt0 W0)))) (aInteger0 (xq)) (All W0, ((aInteger0 W0) => (((sdtasdt0 W0 (sz00)) = (sz00)) /\ ((sz00) = (sdtasdt0 (sz00) W0))))) (All W0, (All W1, (((aInteger0 W0) /\ (aInteger0 W1)) => ((sdtpldt0 W0 W1) = (sdtpldt0 W1 W0))))) (aInteger0 (sz00)) ### NotAnd 1 21
% 243.51/243.71 23. (-. (Ex W0, ((aInteger0 W0) /\ ((sdtasdt0 (xq) W0) = (sdtpldt0 (xa) (smndt0 (xa))))))) (aInteger0 (sz00)) (All W0, (All W1, (((aInteger0 W0) /\ (aInteger0 W1)) => ((sdtpldt0 W0 W1) = (sdtpldt0 W1 W0))))) (All W0, ((aInteger0 W0) => (((sdtasdt0 W0 (sz00)) = (sz00)) /\ ((sz00) = (sdtasdt0 (sz00) W0))))) (aInteger0 (xq)) (All W0, ((aInteger0 W0) => (aInteger0 (smndt0 W0)))) (aInteger0 (xa)) (All W0, ((aInteger0 W0) => (((sdtpldt0 W0 (smndt0 W0)) = (sz00)) /\ ((sz00) = (sdtpldt0 (smndt0 W0) W0))))) ### NotExists 22
% 243.51/243.71 24. ((aInteger0 (xa)) /\ ((aInteger0 (xq)) /\ ((xq) != (sz00)))) (All W0, ((aInteger0 W0) => (((sdtpldt0 W0 (smndt0 W0)) = (sz00)) /\ ((sz00) = (sdtpldt0 (smndt0 W0) W0))))) (All W0, ((aInteger0 W0) => (aInteger0 (smndt0 W0)))) (All W0, ((aInteger0 W0) => (((sdtasdt0 W0 (sz00)) = (sz00)) /\ ((sz00) = (sdtasdt0 (sz00) W0))))) (All W0, (All W1, (((aInteger0 W0) /\ (aInteger0 W1)) => ((sdtpldt0 W0 W1) = (sdtpldt0 W1 W0))))) (aInteger0 (sz00)) (-. (Ex W0, ((aInteger0 W0) /\ ((sdtasdt0 (xq) W0) = (sdtpldt0 (xa) (smndt0 (xa))))))) ### ConjTree 23
% 243.51/243.71 25. (-. ((Ex W0, ((aInteger0 W0) /\ ((sdtasdt0 (xq) W0) = (sdtpldt0 (xa) (smndt0 (xa)))))) \/ ((aDivisorOf0 (xq) (sdtpldt0 (xa) (smndt0 (xa)))) \/ (sdteqdtlpzmzozddtrp0 (xa) (xa) (xq))))) (aInteger0 (sz00)) (All W0, (All W1, (((aInteger0 W0) /\ (aInteger0 W1)) => ((sdtpldt0 W0 W1) = (sdtpldt0 W1 W0))))) (All W0, ((aInteger0 W0) => (((sdtasdt0 W0 (sz00)) = (sz00)) /\ ((sz00) = (sdtasdt0 (sz00) W0))))) (All W0, ((aInteger0 W0) => (aInteger0 (smndt0 W0)))) (All W0, ((aInteger0 W0) => (((sdtpldt0 W0 (smndt0 W0)) = (sz00)) /\ ((sz00) = (sdtpldt0 (smndt0 W0) W0))))) ((aInteger0 (xa)) /\ ((aInteger0 (xq)) /\ ((xq) != (sz00)))) ### ConjTree 24
% 243.51/243.71 % SZS output end Proof
% 243.51/243.71 (* END-PROOF *)
%------------------------------------------------------------------------------