%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : NUM436+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 : n018.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 14:42:26 EDT 2022 % Result : Theorem 243.52s 243.76s % Output : Proof 243.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : NUM436+3 : TPTP v8.1.0. Released v4.0.0. % 0.07/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.12/0.32 % Computer : n018.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 : Tue Jul 5 09:07:37 EDT 2022 % 0.12/0.32 % CPUTime : % 243.52/243.76 % SZS status Theorem % 243.52/243.76 (* PROOF-FOUND *) % 243.52/243.76 (* BEGIN-PROOF *) % 243.52/243.76 % SZS output start Proof % 243.52/243.76 1. (aInteger0 (xq)) (-. (aInteger0 (xq))) ### Axiom % 243.52/243.76 2. (aInteger0 (xm)) (-. (aInteger0 (xm))) ### Axiom % 243.52/243.76 3. (-. (aInteger0 (sdtasdt0 (xq) (xm)))) (aInteger0 (sdtasdt0 (xq) (xm))) ### Axiom % 243.52/243.76 4. (((aInteger0 (xq)) /\ (aInteger0 (xm))) => (aInteger0 (sdtasdt0 (xq) (xm)))) (-. (aInteger0 (sdtasdt0 (xq) (xm)))) (aInteger0 (xm)) (aInteger0 (xq)) ### DisjTree 1 2 3 % 243.52/243.76 5. (All W1, (((aInteger0 (xq)) /\ (aInteger0 W1)) => (aInteger0 (sdtasdt0 (xq) W1)))) (aInteger0 (xq)) (aInteger0 (xm)) (-. (aInteger0 (sdtasdt0 (xq) (xm)))) ### All 4 % 243.52/243.76 6. (All W0, (All W1, (((aInteger0 W0) /\ (aInteger0 W1)) => (aInteger0 (sdtasdt0 W0 W1))))) (-. (aInteger0 (sdtasdt0 (xq) (xm)))) (aInteger0 (xm)) (aInteger0 (xq)) ### All 5 % 243.52/243.76 7. ((sdtasdt0 (xp) (sdtasdt0 (xq) (xm))) = (sdtpldt0 (xa) (smndt0 (xb)))) ((sdtasdt0 (xp) (sdtasdt0 (xq) (xm))) != (sdtpldt0 (xa) (smndt0 (xb)))) ### Axiom % 243.52/243.76 8. (-. ((aInteger0 (sdtasdt0 (xq) (xm))) /\ ((sdtasdt0 (xp) (sdtasdt0 (xq) (xm))) = (sdtpldt0 (xa) (smndt0 (xb)))))) ((sdtasdt0 (xp) (sdtasdt0 (xq) (xm))) = (sdtpldt0 (xa) (smndt0 (xb)))) (aInteger0 (xq)) (aInteger0 (xm)) (All W0, (All W1, (((aInteger0 W0) /\ (aInteger0 W1)) => (aInteger0 (sdtasdt0 W0 W1))))) ### NotAnd 6 7 % 243.52/243.76 9. (-. (Ex W0, ((aInteger0 W0) /\ ((sdtasdt0 (xp) W0) = (sdtpldt0 (xa) (smndt0 (xb))))))) (All W0, (All W1, (((aInteger0 W0) /\ (aInteger0 W1)) => (aInteger0 (sdtasdt0 W0 W1))))) (aInteger0 (xm)) (aInteger0 (xq)) ((sdtasdt0 (xp) (sdtasdt0 (xq) (xm))) = (sdtpldt0 (xa) (smndt0 (xb)))) ### NotExists 8 % 243.52/243.76 10. (-. ((Ex W0, ((aInteger0 W0) /\ ((sdtasdt0 (xp) W0) = (sdtpldt0 (xa) (smndt0 (xb)))))) \/ ((aDivisorOf0 (xp) (sdtpldt0 (xa) (smndt0 (xb)))) \/ (sdteqdtlpzmzozddtrp0 (xa) (xb) (xp))))) ((sdtasdt0 (xp) (sdtasdt0 (xq) (xm))) = (sdtpldt0 (xa) (smndt0 (xb)))) (aInteger0 (xq)) (aInteger0 (xm)) (All W0, (All W1, (((aInteger0 W0) /\ (aInteger0 W1)) => (aInteger0 (sdtasdt0 W0 W1))))) ### ConjTree 9 % 243.52/243.76 11. (aInteger0 (xp)) (-. (aInteger0 (xp))) ### Axiom % 243.52/243.76 12. (aInteger0 (xm)) (-. (aInteger0 (xm))) ### Axiom % 243.52/243.76 13. (-. (aInteger0 (sdtasdt0 (xp) (xm)))) (aInteger0 (sdtasdt0 (xp) (xm))) ### Axiom % 243.52/243.76 14. (((aInteger0 (xp)) /\ (aInteger0 (xm))) => (aInteger0 (sdtasdt0 (xp) (xm)))) (-. (aInteger0 (sdtasdt0 (xp) (xm)))) (aInteger0 (xm)) (aInteger0 (xp)) ### DisjTree 11 12 13 % 243.52/243.76 15. (All W1, (((aInteger0 (xp)) /\ (aInteger0 W1)) => (aInteger0 (sdtasdt0 (xp) W1)))) (aInteger0 (xp)) (aInteger0 (xm)) (-. (aInteger0 (sdtasdt0 (xp) (xm)))) ### All 14 % 243.52/243.76 16. (All W0, (All W1, (((aInteger0 W0) /\ (aInteger0 W1)) => (aInteger0 (sdtasdt0 W0 W1))))) (-. (aInteger0 (sdtasdt0 (xp) (xm)))) (aInteger0 (xm)) (aInteger0 (xp)) ### All 15 % 243.52/243.76 17. ((sdtpldt0 (xa) (smndt0 (xb))) = (sdtasdt0 (xq) (sdtasdt0 (xp) (xm)))) ((sdtasdt0 (xq) (sdtasdt0 (xp) (xm))) != (sdtpldt0 (xa) (smndt0 (xb)))) ### Sym(=) % 243.52/243.76 18. (-. ((aInteger0 (sdtasdt0 (xp) (xm))) /\ ((sdtasdt0 (xq) (sdtasdt0 (xp) (xm))) = (sdtpldt0 (xa) (smndt0 (xb)))))) ((sdtpldt0 (xa) (smndt0 (xb))) = (sdtasdt0 (xq) (sdtasdt0 (xp) (xm)))) (aInteger0 (xp)) (aInteger0 (xm)) (All W0, (All W1, (((aInteger0 W0) /\ (aInteger0 W1)) => (aInteger0 (sdtasdt0 W0 W1))))) ### NotAnd 16 17 % 243.52/243.76 19. (-. (Ex W0, ((aInteger0 W0) /\ ((sdtasdt0 (xq) W0) = (sdtpldt0 (xa) (smndt0 (xb))))))) (All W0, (All W1, (((aInteger0 W0) /\ (aInteger0 W1)) => (aInteger0 (sdtasdt0 W0 W1))))) (aInteger0 (xm)) (aInteger0 (xp)) ((sdtpldt0 (xa) (smndt0 (xb))) = (sdtasdt0 (xq) (sdtasdt0 (xp) (xm)))) ### NotExists 18 % 243.52/243.76 20. (-. ((Ex W0, ((aInteger0 W0) /\ ((sdtasdt0 (xq) W0) = (sdtpldt0 (xa) (smndt0 (xb)))))) \/ ((aDivisorOf0 (xq) (sdtpldt0 (xa) (smndt0 (xb)))) \/ (sdteqdtlpzmzozddtrp0 (xa) (xb) (xq))))) ((sdtpldt0 (xa) (smndt0 (xb))) = (sdtasdt0 (xq) (sdtasdt0 (xp) (xm)))) (aInteger0 (xp)) (aInteger0 (xm)) (All W0, (All W1, (((aInteger0 W0) /\ (aInteger0 W1)) => (aInteger0 (sdtasdt0 W0 W1))))) ### ConjTree 19 % 243.52/243.76 21. (-. (((Ex W0, ((aInteger0 W0) /\ ((sdtasdt0 (xp) W0) = (sdtpldt0 (xa) (smndt0 (xb)))))) \/ ((aDivisorOf0 (xp) (sdtpldt0 (xa) (smndt0 (xb)))) \/ (sdteqdtlpzmzozddtrp0 (xa) (xb) (xp)))) /\ ((Ex W0, ((aInteger0 W0) /\ ((sdtasdt0 (xq) W0) = (sdtpldt0 (xa) (smndt0 (xb)))))) \/ ((aDivisorOf0 (xq) (sdtpldt0 (xa) (smndt0 (xb)))) \/ (sdteqdtlpzmzozddtrp0 (xa) (xb) (xq)))))) (aInteger0 (xp)) ((sdtpldt0 (xa) (smndt0 (xb))) = (sdtasdt0 (xq) (sdtasdt0 (xp) (xm)))) (All W0, (All W1, (((aInteger0 W0) /\ (aInteger0 W1)) => (aInteger0 (sdtasdt0 W0 W1))))) (aInteger0 (xm)) (aInteger0 (xq)) ((sdtasdt0 (xp) (sdtasdt0 (xq) (xm))) = (sdtpldt0 (xa) (smndt0 (xb)))) ### NotAnd 10 20 % 243.52/243.76 22. ((aInteger0 (xa)) /\ ((aInteger0 (xb)) /\ ((aInteger0 (xp)) /\ (((xp) != (sz00)) /\ ((aInteger0 (xq)) /\ ((xq) != (sz00))))))) ((sdtasdt0 (xp) (sdtasdt0 (xq) (xm))) = (sdtpldt0 (xa) (smndt0 (xb)))) (aInteger0 (xm)) (All W0, (All W1, (((aInteger0 W0) /\ (aInteger0 W1)) => (aInteger0 (sdtasdt0 W0 W1))))) ((sdtpldt0 (xa) (smndt0 (xb))) = (sdtasdt0 (xq) (sdtasdt0 (xp) (xm)))) (-. (((Ex W0, ((aInteger0 W0) /\ ((sdtasdt0 (xp) W0) = (sdtpldt0 (xa) (smndt0 (xb)))))) \/ ((aDivisorOf0 (xp) (sdtpldt0 (xa) (smndt0 (xb)))) \/ (sdteqdtlpzmzozddtrp0 (xa) (xb) (xp)))) /\ ((Ex W0, ((aInteger0 W0) /\ ((sdtasdt0 (xq) W0) = (sdtpldt0 (xa) (smndt0 (xb)))))) \/ ((aDivisorOf0 (xq) (sdtpldt0 (xa) (smndt0 (xb)))) \/ (sdteqdtlpzmzozddtrp0 (xa) (xb) (xq)))))) ### ConjTree 21 % 243.52/243.76 23. ((aInteger0 (xm)) /\ ((sdtasdt0 (sdtasdt0 (xp) (xq)) (xm)) = (sdtpldt0 (xa) (smndt0 (xb))))) (-. (((Ex W0, ((aInteger0 W0) /\ ((sdtasdt0 (xp) W0) = (sdtpldt0 (xa) (smndt0 (xb)))))) \/ ((aDivisorOf0 (xp) (sdtpldt0 (xa) (smndt0 (xb)))) \/ (sdteqdtlpzmzozddtrp0 (xa) (xb) (xp)))) /\ ((Ex W0, ((aInteger0 W0) /\ ((sdtasdt0 (xq) W0) = (sdtpldt0 (xa) (smndt0 (xb)))))) \/ ((aDivisorOf0 (xq) (sdtpldt0 (xa) (smndt0 (xb)))) \/ (sdteqdtlpzmzozddtrp0 (xa) (xb) (xq)))))) ((sdtpldt0 (xa) (smndt0 (xb))) = (sdtasdt0 (xq) (sdtasdt0 (xp) (xm)))) (All W0, (All W1, (((aInteger0 W0) /\ (aInteger0 W1)) => (aInteger0 (sdtasdt0 W0 W1))))) ((sdtasdt0 (xp) (sdtasdt0 (xq) (xm))) = (sdtpldt0 (xa) (smndt0 (xb)))) ((aInteger0 (xa)) /\ ((aInteger0 (xb)) /\ ((aInteger0 (xp)) /\ (((xp) != (sz00)) /\ ((aInteger0 (xq)) /\ ((xq) != (sz00))))))) ### And 22 % 243.52/243.76 24. (((sdtasdt0 (xp) (sdtasdt0 (xq) (xm))) = (sdtpldt0 (xa) (smndt0 (xb)))) /\ ((sdtpldt0 (xa) (smndt0 (xb))) = (sdtasdt0 (xq) (sdtasdt0 (xp) (xm))))) ((aInteger0 (xa)) /\ ((aInteger0 (xb)) /\ ((aInteger0 (xp)) /\ (((xp) != (sz00)) /\ ((aInteger0 (xq)) /\ ((xq) != (sz00))))))) (All W0, (All W1, (((aInteger0 W0) /\ (aInteger0 W1)) => (aInteger0 (sdtasdt0 W0 W1))))) (-. (((Ex W0, ((aInteger0 W0) /\ ((sdtasdt0 (xp) W0) = (sdtpldt0 (xa) (smndt0 (xb)))))) \/ ((aDivisorOf0 (xp) (sdtpldt0 (xa) (smndt0 (xb)))) \/ (sdteqdtlpzmzozddtrp0 (xa) (xb) (xp)))) /\ ((Ex W0, ((aInteger0 W0) /\ ((sdtasdt0 (xq) W0) = (sdtpldt0 (xa) (smndt0 (xb)))))) \/ ((aDivisorOf0 (xq) (sdtpldt0 (xa) (smndt0 (xb)))) \/ (sdteqdtlpzmzozddtrp0 (xa) (xb) (xq)))))) ((aInteger0 (xm)) /\ ((sdtasdt0 (sdtasdt0 (xp) (xq)) (xm)) = (sdtpldt0 (xa) (smndt0 (xb))))) ### And 23 % 243.52/243.76 % SZS output end Proof % 243.52/243.76 (* END-PROOF *) %------------------------------------------------------------------------------