TSTP Solution File: NUM429+1 by SuperZenon---0.0.1
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%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : NUM429+1 : 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 : n024.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 14:42:22 EDT 2022
% Result : Theorem 245.11s 245.32s
% Output : Proof 245.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM429+1 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.12/0.34 % Computer : n024.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Wed Jul 6 00:09:14 EDT 2022
% 0.12/0.34 % CPUTime :
% 245.11/245.32 % SZS status Theorem
% 245.11/245.32 (* PROOF-FOUND *)
% 245.11/245.32 (* BEGIN-PROOF *)
% 245.11/245.32 % SZS output start Proof
% 245.11/245.32 1. (aInteger0 (xa)) (-. (aInteger0 (xa))) ### Axiom
% 245.11/245.32 2. (aInteger0 (xb)) (-. (aInteger0 (xb))) ### Axiom
% 245.11/245.32 3. (-. (aInteger0 (smndt0 (xb)))) (aInteger0 (smndt0 (xb))) ### Axiom
% 245.11/245.32 4. ((aInteger0 (xb)) => (aInteger0 (smndt0 (xb)))) (-. (aInteger0 (smndt0 (xb)))) (aInteger0 (xb)) ### Imply 2 3
% 245.11/245.32 5. (All W0, ((aInteger0 W0) => (aInteger0 (smndt0 W0)))) (aInteger0 (xb)) (-. (aInteger0 (smndt0 (xb)))) ### All 4
% 245.11/245.32 6. (-. (aInteger0 (sdtpldt0 (xa) (smndt0 (xb))))) (aInteger0 (sdtpldt0 (xa) (smndt0 (xb)))) ### Axiom
% 245.11/245.32 7. (((aInteger0 (xa)) /\ (aInteger0 (smndt0 (xb)))) => (aInteger0 (sdtpldt0 (xa) (smndt0 (xb))))) (-. (aInteger0 (sdtpldt0 (xa) (smndt0 (xb))))) (aInteger0 (xb)) (All W0, ((aInteger0 W0) => (aInteger0 (smndt0 W0)))) (aInteger0 (xa)) ### DisjTree 1 5 6
% 245.11/245.32 8. (All W1, (((aInteger0 (xa)) /\ (aInteger0 W1)) => (aInteger0 (sdtpldt0 (xa) W1)))) (aInteger0 (xa)) (All W0, ((aInteger0 W0) => (aInteger0 (smndt0 W0)))) (aInteger0 (xb)) (-. (aInteger0 (sdtpldt0 (xa) (smndt0 (xb))))) ### All 7
% 245.11/245.32 9. (All W0, (All W1, (((aInteger0 W0) /\ (aInteger0 W1)) => (aInteger0 (sdtpldt0 W0 W1))))) (-. (aInteger0 (sdtpldt0 (xa) (smndt0 (xb))))) (aInteger0 (xb)) (All W0, ((aInteger0 W0) => (aInteger0 (smndt0 W0)))) (aInteger0 (xa)) ### All 8
% 245.11/245.32 10. (aInteger0 (xa)) (-. (aInteger0 (xa))) ### Axiom
% 245.11/245.32 11. (aInteger0 (xb)) (-. (aInteger0 (xb))) ### Axiom
% 245.11/245.32 12. (aInteger0 (xq)) (-. (aInteger0 (xq))) ### Axiom
% 245.11/245.32 13. ((xq) != (sz00)) ((xq) = (sz00)) ### Axiom
% 245.11/245.32 14. (sdteqdtlpzmzozddtrp0 (xa) (xb) (xq)) (-. (sdteqdtlpzmzozddtrp0 (xa) (xb) (xq))) ### Axiom
% 245.11/245.32 15. (aDivisorOf0 (xq) (sdtpldt0 (xa) (smndt0 (xb)))) (-. (aDivisorOf0 (xq) (sdtpldt0 (xa) (smndt0 (xb))))) ### Axiom
% 245.11/245.32 16. (-. (Ex W0, ((aInteger0 W0) /\ ((sdtasdt0 (xq) W0) = (sdtpldt0 (xa) (smndt0 (xb))))))) (Ex W0, ((aInteger0 W0) /\ ((sdtasdt0 (xq) W0) = (sdtpldt0 (xa) (smndt0 (xb)))))) ### Axiom
% 245.11/245.32 17. ((aInteger0 (xq)) /\ (((xq) != (sz00)) /\ (Ex W0, ((aInteger0 W0) /\ ((sdtasdt0 (xq) W0) = (sdtpldt0 (xa) (smndt0 (xb)))))))) (-. (Ex W0, ((aInteger0 W0) /\ ((sdtasdt0 (xq) W0) = (sdtpldt0 (xa) (smndt0 (xb))))))) ### ConjTree 16
% 245.11/245.32 18. ((aDivisorOf0 (xq) (sdtpldt0 (xa) (smndt0 (xb)))) <=> ((aInteger0 (xq)) /\ (((xq) != (sz00)) /\ (Ex W0, ((aInteger0 W0) /\ ((sdtasdt0 (xq) W0) = (sdtpldt0 (xa) (smndt0 (xb))))))))) (-. (Ex W0, ((aInteger0 W0) /\ ((sdtasdt0 (xq) W0) = (sdtpldt0 (xa) (smndt0 (xb))))))) (aDivisorOf0 (xq) (sdtpldt0 (xa) (smndt0 (xb)))) ### Equiv 15 17
% 245.11/245.32 19. (All W1, ((aDivisorOf0 W1 (sdtpldt0 (xa) (smndt0 (xb)))) <=> ((aInteger0 W1) /\ ((W1 != (sz00)) /\ (Ex W2, ((aInteger0 W2) /\ ((sdtasdt0 W1 W2) = (sdtpldt0 (xa) (smndt0 (xb)))))))))) (aDivisorOf0 (xq) (sdtpldt0 (xa) (smndt0 (xb)))) (-. (Ex W0, ((aInteger0 W0) /\ ((sdtasdt0 (xq) W0) = (sdtpldt0 (xa) (smndt0 (xb))))))) ### All 18
% 245.11/245.32 20. ((sdteqdtlpzmzozddtrp0 (xa) (xb) (xq)) <=> (aDivisorOf0 (xq) (sdtpldt0 (xa) (smndt0 (xb))))) (-. (Ex W0, ((aInteger0 W0) /\ ((sdtasdt0 (xq) W0) = (sdtpldt0 (xa) (smndt0 (xb))))))) (All W1, ((aDivisorOf0 W1 (sdtpldt0 (xa) (smndt0 (xb)))) <=> ((aInteger0 W1) /\ ((W1 != (sz00)) /\ (Ex W2, ((aInteger0 W2) /\ ((sdtasdt0 W1 W2) = (sdtpldt0 (xa) (smndt0 (xb)))))))))) (sdteqdtlpzmzozddtrp0 (xa) (xb) (xq)) ### Equiv 14 19
% 245.11/245.32 21. (((aInteger0 (xa)) /\ ((aInteger0 (xb)) /\ ((aInteger0 (xq)) /\ ((xq) != (sz00))))) => ((sdteqdtlpzmzozddtrp0 (xa) (xb) (xq)) <=> (aDivisorOf0 (xq) (sdtpldt0 (xa) (smndt0 (xb)))))) (sdteqdtlpzmzozddtrp0 (xa) (xb) (xq)) (All W1, ((aDivisorOf0 W1 (sdtpldt0 (xa) (smndt0 (xb)))) <=> ((aInteger0 W1) /\ ((W1 != (sz00)) /\ (Ex W2, ((aInteger0 W2) /\ ((sdtasdt0 W1 W2) = (sdtpldt0 (xa) (smndt0 (xb)))))))))) (-. (Ex W0, ((aInteger0 W0) /\ ((sdtasdt0 (xq) W0) = (sdtpldt0 (xa) (smndt0 (xb))))))) ((xq) != (sz00)) (aInteger0 (xq)) (aInteger0 (xb)) (aInteger0 (xa)) ### DisjTree 10 11 12 13 20
% 245.11/245.32 22. (All W2, (((aInteger0 (xa)) /\ ((aInteger0 (xb)) /\ ((aInteger0 W2) /\ (W2 != (sz00))))) => ((sdteqdtlpzmzozddtrp0 (xa) (xb) W2) <=> (aDivisorOf0 W2 (sdtpldt0 (xa) (smndt0 (xb))))))) (aInteger0 (xa)) (aInteger0 (xb)) (aInteger0 (xq)) ((xq) != (sz00)) (-. (Ex W0, ((aInteger0 W0) /\ ((sdtasdt0 (xq) W0) = (sdtpldt0 (xa) (smndt0 (xb))))))) (All W1, ((aDivisorOf0 W1 (sdtpldt0 (xa) (smndt0 (xb)))) <=> ((aInteger0 W1) /\ ((W1 != (sz00)) /\ (Ex W2, ((aInteger0 W2) /\ ((sdtasdt0 W1 W2) = (sdtpldt0 (xa) (smndt0 (xb)))))))))) (sdteqdtlpzmzozddtrp0 (xa) (xb) (xq)) ### All 21
% 245.11/245.32 23. (All W1, (All W2, (((aInteger0 (xa)) /\ ((aInteger0 W1) /\ ((aInteger0 W2) /\ (W2 != (sz00))))) => ((sdteqdtlpzmzozddtrp0 (xa) W1 W2) <=> (aDivisorOf0 W2 (sdtpldt0 (xa) (smndt0 W1))))))) (sdteqdtlpzmzozddtrp0 (xa) (xb) (xq)) (All W1, ((aDivisorOf0 W1 (sdtpldt0 (xa) (smndt0 (xb)))) <=> ((aInteger0 W1) /\ ((W1 != (sz00)) /\ (Ex W2, ((aInteger0 W2) /\ ((sdtasdt0 W1 W2) = (sdtpldt0 (xa) (smndt0 (xb)))))))))) (-. (Ex W0, ((aInteger0 W0) /\ ((sdtasdt0 (xq) W0) = (sdtpldt0 (xa) (smndt0 (xb))))))) ((xq) != (sz00)) (aInteger0 (xq)) (aInteger0 (xb)) (aInteger0 (xa)) ### All 22
% 245.11/245.32 24. (All W0, (All W1, (All W2, (((aInteger0 W0) /\ ((aInteger0 W1) /\ ((aInteger0 W2) /\ (W2 != (sz00))))) => ((sdteqdtlpzmzozddtrp0 W0 W1 W2) <=> (aDivisorOf0 W2 (sdtpldt0 W0 (smndt0 W1)))))))) (aInteger0 (xa)) (aInteger0 (xb)) (aInteger0 (xq)) ((xq) != (sz00)) (-. (Ex W0, ((aInteger0 W0) /\ ((sdtasdt0 (xq) W0) = (sdtpldt0 (xa) (smndt0 (xb))))))) (All W1, ((aDivisorOf0 W1 (sdtpldt0 (xa) (smndt0 (xb)))) <=> ((aInteger0 W1) /\ ((W1 != (sz00)) /\ (Ex W2, ((aInteger0 W2) /\ ((sdtasdt0 W1 W2) = (sdtpldt0 (xa) (smndt0 (xb)))))))))) (sdteqdtlpzmzozddtrp0 (xa) (xb) (xq)) ### All 23
% 245.11/245.32 25. ((aInteger0 (sdtpldt0 (xa) (smndt0 (xb)))) => (All W1, ((aDivisorOf0 W1 (sdtpldt0 (xa) (smndt0 (xb)))) <=> ((aInteger0 W1) /\ ((W1 != (sz00)) /\ (Ex W2, ((aInteger0 W2) /\ ((sdtasdt0 W1 W2) = (sdtpldt0 (xa) (smndt0 (xb))))))))))) (sdteqdtlpzmzozddtrp0 (xa) (xb) (xq)) (-. (Ex W0, ((aInteger0 W0) /\ ((sdtasdt0 (xq) W0) = (sdtpldt0 (xa) (smndt0 (xb))))))) ((xq) != (sz00)) (aInteger0 (xq)) (All W0, (All W1, (All W2, (((aInteger0 W0) /\ ((aInteger0 W1) /\ ((aInteger0 W2) /\ (W2 != (sz00))))) => ((sdteqdtlpzmzozddtrp0 W0 W1 W2) <=> (aDivisorOf0 W2 (sdtpldt0 W0 (smndt0 W1)))))))) (aInteger0 (xa)) (All W0, ((aInteger0 W0) => (aInteger0 (smndt0 W0)))) (aInteger0 (xb)) (All W0, (All W1, (((aInteger0 W0) /\ (aInteger0 W1)) => (aInteger0 (sdtpldt0 W0 W1))))) ### Imply 9 24
% 245.11/245.32 26. (All W0, ((aInteger0 W0) => (All W1, ((aDivisorOf0 W1 W0) <=> ((aInteger0 W1) /\ ((W1 != (sz00)) /\ (Ex W2, ((aInteger0 W2) /\ ((sdtasdt0 W1 W2) = W0))))))))) (All W0, (All W1, (((aInteger0 W0) /\ (aInteger0 W1)) => (aInteger0 (sdtpldt0 W0 W1))))) (aInteger0 (xb)) (All W0, ((aInteger0 W0) => (aInteger0 (smndt0 W0)))) (aInteger0 (xa)) (All W0, (All W1, (All W2, (((aInteger0 W0) /\ ((aInteger0 W1) /\ ((aInteger0 W2) /\ (W2 != (sz00))))) => ((sdteqdtlpzmzozddtrp0 W0 W1 W2) <=> (aDivisorOf0 W2 (sdtpldt0 W0 (smndt0 W1)))))))) (aInteger0 (xq)) ((xq) != (sz00)) (-. (Ex W0, ((aInteger0 W0) /\ ((sdtasdt0 (xq) W0) = (sdtpldt0 (xa) (smndt0 (xb))))))) (sdteqdtlpzmzozddtrp0 (xa) (xb) (xq)) ### All 25
% 245.11/245.32 27. ((aInteger0 (xa)) /\ ((aInteger0 (xb)) /\ ((aInteger0 (xq)) /\ (((xq) != (sz00)) /\ (aInteger0 (xc)))))) (sdteqdtlpzmzozddtrp0 (xa) (xb) (xq)) (-. (Ex W0, ((aInteger0 W0) /\ ((sdtasdt0 (xq) W0) = (sdtpldt0 (xa) (smndt0 (xb))))))) (All W0, (All W1, (All W2, (((aInteger0 W0) /\ ((aInteger0 W1) /\ ((aInteger0 W2) /\ (W2 != (sz00))))) => ((sdteqdtlpzmzozddtrp0 W0 W1 W2) <=> (aDivisorOf0 W2 (sdtpldt0 W0 (smndt0 W1)))))))) (All W0, ((aInteger0 W0) => (aInteger0 (smndt0 W0)))) (All W0, (All W1, (((aInteger0 W0) /\ (aInteger0 W1)) => (aInteger0 (sdtpldt0 W0 W1))))) (All W0, ((aInteger0 W0) => (All W1, ((aDivisorOf0 W1 W0) <=> ((aInteger0 W1) /\ ((W1 != (sz00)) /\ (Ex W2, ((aInteger0 W2) /\ ((sdtasdt0 W1 W2) = W0))))))))) ### ConjTree 26
% 245.11/245.32 28. ((sdteqdtlpzmzozddtrp0 (xa) (xb) (xq)) /\ (sdteqdtlpzmzozddtrp0 (xb) (xc) (xq))) (All W0, ((aInteger0 W0) => (All W1, ((aDivisorOf0 W1 W0) <=> ((aInteger0 W1) /\ ((W1 != (sz00)) /\ (Ex W2, ((aInteger0 W2) /\ ((sdtasdt0 W1 W2) = W0))))))))) (All W0, (All W1, (((aInteger0 W0) /\ (aInteger0 W1)) => (aInteger0 (sdtpldt0 W0 W1))))) (All W0, ((aInteger0 W0) => (aInteger0 (smndt0 W0)))) (All W0, (All W1, (All W2, (((aInteger0 W0) /\ ((aInteger0 W1) /\ ((aInteger0 W2) /\ (W2 != (sz00))))) => ((sdteqdtlpzmzozddtrp0 W0 W1 W2) <=> (aDivisorOf0 W2 (sdtpldt0 W0 (smndt0 W1)))))))) (-. (Ex W0, ((aInteger0 W0) /\ ((sdtasdt0 (xq) W0) = (sdtpldt0 (xa) (smndt0 (xb))))))) ((aInteger0 (xa)) /\ ((aInteger0 (xb)) /\ ((aInteger0 (xq)) /\ (((xq) != (sz00)) /\ (aInteger0 (xc)))))) ### And 27
% 245.11/245.32 % SZS output end Proof
% 245.11/245.32 (* END-PROOF *)
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