TSTP Solution File: NUM436+3 by SuperZenon---0.0.1
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%------------------------------------------------------------------------------
% 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 *)
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