TSTP Solution File: NUM430+1 by SuperZenon---0.0.1
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%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : NUM430+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 : n007.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 241.12s 241.34s
% Output : Proof 241.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : NUM430+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.14 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.13/0.35 % Computer : n007.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Thu Jul 7 16:20:29 EDT 2022
% 0.13/0.35 % CPUTime :
% 241.12/241.34 % SZS status Theorem
% 241.12/241.34 (* PROOF-FOUND *)
% 241.12/241.34 (* BEGIN-PROOF *)
% 241.12/241.34 % SZS output start Proof
% 241.12/241.34 1. (aInteger0 (xb)) (-. (aInteger0 (xb))) ### Axiom
% 241.12/241.34 2. (aInteger0 (xc)) (-. (aInteger0 (xc))) ### Axiom
% 241.12/241.34 3. (-. (aInteger0 (smndt0 (xc)))) (aInteger0 (smndt0 (xc))) ### Axiom
% 241.12/241.34 4. ((aInteger0 (xc)) => (aInteger0 (smndt0 (xc)))) (-. (aInteger0 (smndt0 (xc)))) (aInteger0 (xc)) ### Imply 2 3
% 241.12/241.34 5. (All W0, ((aInteger0 W0) => (aInteger0 (smndt0 W0)))) (aInteger0 (xc)) (-. (aInteger0 (smndt0 (xc)))) ### All 4
% 241.12/241.34 6. (-. (aInteger0 (sdtpldt0 (xb) (smndt0 (xc))))) (aInteger0 (sdtpldt0 (xb) (smndt0 (xc)))) ### Axiom
% 241.12/241.34 7. (((aInteger0 (xb)) /\ (aInteger0 (smndt0 (xc)))) => (aInteger0 (sdtpldt0 (xb) (smndt0 (xc))))) (-. (aInteger0 (sdtpldt0 (xb) (smndt0 (xc))))) (aInteger0 (xc)) (All W0, ((aInteger0 W0) => (aInteger0 (smndt0 W0)))) (aInteger0 (xb)) ### DisjTree 1 5 6
% 241.12/241.34 8. (All W1, (((aInteger0 (xb)) /\ (aInteger0 W1)) => (aInteger0 (sdtpldt0 (xb) W1)))) (aInteger0 (xb)) (All W0, ((aInteger0 W0) => (aInteger0 (smndt0 W0)))) (aInteger0 (xc)) (-. (aInteger0 (sdtpldt0 (xb) (smndt0 (xc))))) ### All 7
% 241.12/241.34 9. (All W0, (All W1, (((aInteger0 W0) /\ (aInteger0 W1)) => (aInteger0 (sdtpldt0 W0 W1))))) (-. (aInteger0 (sdtpldt0 (xb) (smndt0 (xc))))) (aInteger0 (xc)) (All W0, ((aInteger0 W0) => (aInteger0 (smndt0 W0)))) (aInteger0 (xb)) ### All 8
% 241.12/241.34 10. (aInteger0 (xb)) (-. (aInteger0 (xb))) ### Axiom
% 241.12/241.34 11. (aInteger0 (xc)) (-. (aInteger0 (xc))) ### Axiom
% 241.12/241.34 12. (aInteger0 (xq)) (-. (aInteger0 (xq))) ### Axiom
% 241.12/241.34 13. ((xq) != (sz00)) ((xq) = (sz00)) ### Axiom
% 241.12/241.34 14. (sdteqdtlpzmzozddtrp0 (xb) (xc) (xq)) (-. (sdteqdtlpzmzozddtrp0 (xb) (xc) (xq))) ### Axiom
% 241.12/241.34 15. (-. (aDivisorOf0 (xq) (sdtpldt0 (xb) (smndt0 (xc))))) (aDivisorOf0 (xq) (sdtpldt0 (xb) (smndt0 (xc)))) ### Axiom
% 241.12/241.34 16. ((sdteqdtlpzmzozddtrp0 (xb) (xc) (xq)) <=> (aDivisorOf0 (xq) (sdtpldt0 (xb) (smndt0 (xc))))) (-. (aDivisorOf0 (xq) (sdtpldt0 (xb) (smndt0 (xc))))) (sdteqdtlpzmzozddtrp0 (xb) (xc) (xq)) ### Equiv 14 15
% 241.12/241.34 17. (((aInteger0 (xb)) /\ ((aInteger0 (xc)) /\ ((aInteger0 (xq)) /\ ((xq) != (sz00))))) => ((sdteqdtlpzmzozddtrp0 (xb) (xc) (xq)) <=> (aDivisorOf0 (xq) (sdtpldt0 (xb) (smndt0 (xc)))))) (sdteqdtlpzmzozddtrp0 (xb) (xc) (xq)) (-. (aDivisorOf0 (xq) (sdtpldt0 (xb) (smndt0 (xc))))) ((xq) != (sz00)) (aInteger0 (xq)) (aInteger0 (xc)) (aInteger0 (xb)) ### DisjTree 10 11 12 13 16
% 241.12/241.34 18. (All W2, (((aInteger0 (xb)) /\ ((aInteger0 (xc)) /\ ((aInteger0 W2) /\ (W2 != (sz00))))) => ((sdteqdtlpzmzozddtrp0 (xb) (xc) W2) <=> (aDivisorOf0 W2 (sdtpldt0 (xb) (smndt0 (xc))))))) (aInteger0 (xb)) (aInteger0 (xc)) (aInteger0 (xq)) ((xq) != (sz00)) (-. (aDivisorOf0 (xq) (sdtpldt0 (xb) (smndt0 (xc))))) (sdteqdtlpzmzozddtrp0 (xb) (xc) (xq)) ### All 17
% 241.12/241.34 19. (-. (Ex W0, ((aInteger0 W0) /\ ((sdtasdt0 (xq) W0) = (sdtpldt0 (xb) (smndt0 (xc))))))) (Ex W0, ((aInteger0 W0) /\ ((sdtasdt0 (xq) W0) = (sdtpldt0 (xb) (smndt0 (xc)))))) ### Axiom
% 241.12/241.34 20. ((aInteger0 (xq)) /\ (((xq) != (sz00)) /\ (Ex W0, ((aInteger0 W0) /\ ((sdtasdt0 (xq) W0) = (sdtpldt0 (xb) (smndt0 (xc)))))))) (-. (Ex W0, ((aInteger0 W0) /\ ((sdtasdt0 (xq) W0) = (sdtpldt0 (xb) (smndt0 (xc))))))) ### ConjTree 19
% 241.12/241.34 21. ((aDivisorOf0 (xq) (sdtpldt0 (xb) (smndt0 (xc)))) <=> ((aInteger0 (xq)) /\ (((xq) != (sz00)) /\ (Ex W0, ((aInteger0 W0) /\ ((sdtasdt0 (xq) W0) = (sdtpldt0 (xb) (smndt0 (xc))))))))) (-. (Ex W0, ((aInteger0 W0) /\ ((sdtasdt0 (xq) W0) = (sdtpldt0 (xb) (smndt0 (xc))))))) (sdteqdtlpzmzozddtrp0 (xb) (xc) (xq)) ((xq) != (sz00)) (aInteger0 (xq)) (aInteger0 (xc)) (aInteger0 (xb)) (All W2, (((aInteger0 (xb)) /\ ((aInteger0 (xc)) /\ ((aInteger0 W2) /\ (W2 != (sz00))))) => ((sdteqdtlpzmzozddtrp0 (xb) (xc) W2) <=> (aDivisorOf0 W2 (sdtpldt0 (xb) (smndt0 (xc))))))) ### Equiv 18 20
% 241.12/241.34 22. (All W1, ((aDivisorOf0 W1 (sdtpldt0 (xb) (smndt0 (xc)))) <=> ((aInteger0 W1) /\ ((W1 != (sz00)) /\ (Ex W2, ((aInteger0 W2) /\ ((sdtasdt0 W1 W2) = (sdtpldt0 (xb) (smndt0 (xc)))))))))) (All W2, (((aInteger0 (xb)) /\ ((aInteger0 (xc)) /\ ((aInteger0 W2) /\ (W2 != (sz00))))) => ((sdteqdtlpzmzozddtrp0 (xb) (xc) W2) <=> (aDivisorOf0 W2 (sdtpldt0 (xb) (smndt0 (xc))))))) (aInteger0 (xb)) (aInteger0 (xc)) (aInteger0 (xq)) ((xq) != (sz00)) (sdteqdtlpzmzozddtrp0 (xb) (xc) (xq)) (-. (Ex W0, ((aInteger0 W0) /\ ((sdtasdt0 (xq) W0) = (sdtpldt0 (xb) (smndt0 (xc))))))) ### All 21
% 241.12/241.34 23. (All W1, (All W2, (((aInteger0 (xb)) /\ ((aInteger0 W1) /\ ((aInteger0 W2) /\ (W2 != (sz00))))) => ((sdteqdtlpzmzozddtrp0 (xb) W1 W2) <=> (aDivisorOf0 W2 (sdtpldt0 (xb) (smndt0 W1))))))) (-. (Ex W0, ((aInteger0 W0) /\ ((sdtasdt0 (xq) W0) = (sdtpldt0 (xb) (smndt0 (xc))))))) (sdteqdtlpzmzozddtrp0 (xb) (xc) (xq)) ((xq) != (sz00)) (aInteger0 (xq)) (aInteger0 (xc)) (aInteger0 (xb)) (All W1, ((aDivisorOf0 W1 (sdtpldt0 (xb) (smndt0 (xc)))) <=> ((aInteger0 W1) /\ ((W1 != (sz00)) /\ (Ex W2, ((aInteger0 W2) /\ ((sdtasdt0 W1 W2) = (sdtpldt0 (xb) (smndt0 (xc)))))))))) ### All 22
% 241.12/241.34 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)))))))) (All W1, ((aDivisorOf0 W1 (sdtpldt0 (xb) (smndt0 (xc)))) <=> ((aInteger0 W1) /\ ((W1 != (sz00)) /\ (Ex W2, ((aInteger0 W2) /\ ((sdtasdt0 W1 W2) = (sdtpldt0 (xb) (smndt0 (xc)))))))))) (aInteger0 (xb)) (aInteger0 (xc)) (aInteger0 (xq)) ((xq) != (sz00)) (sdteqdtlpzmzozddtrp0 (xb) (xc) (xq)) (-. (Ex W0, ((aInteger0 W0) /\ ((sdtasdt0 (xq) W0) = (sdtpldt0 (xb) (smndt0 (xc))))))) ### All 23
% 241.12/241.34 25. ((aInteger0 (sdtpldt0 (xb) (smndt0 (xc)))) => (All W1, ((aDivisorOf0 W1 (sdtpldt0 (xb) (smndt0 (xc)))) <=> ((aInteger0 W1) /\ ((W1 != (sz00)) /\ (Ex W2, ((aInteger0 W2) /\ ((sdtasdt0 W1 W2) = (sdtpldt0 (xb) (smndt0 (xc))))))))))) (-. (Ex W0, ((aInteger0 W0) /\ ((sdtasdt0 (xq) W0) = (sdtpldt0 (xb) (smndt0 (xc))))))) (sdteqdtlpzmzozddtrp0 (xb) (xc) (xq)) ((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 (xb)) (All W0, ((aInteger0 W0) => (aInteger0 (smndt0 W0)))) (aInteger0 (xc)) (All W0, (All W1, (((aInteger0 W0) /\ (aInteger0 W1)) => (aInteger0 (sdtpldt0 W0 W1))))) ### Imply 9 24
% 241.12/241.34 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 (xc)) (All W0, ((aInteger0 W0) => (aInteger0 (smndt0 W0)))) (aInteger0 (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)))))))) (aInteger0 (xq)) ((xq) != (sz00)) (sdteqdtlpzmzozddtrp0 (xb) (xc) (xq)) (-. (Ex W0, ((aInteger0 W0) /\ ((sdtasdt0 (xq) W0) = (sdtpldt0 (xb) (smndt0 (xc))))))) ### All 25
% 241.12/241.34 27. ((aInteger0 (xa)) /\ ((aInteger0 (xb)) /\ ((aInteger0 (xq)) /\ (((xq) != (sz00)) /\ (aInteger0 (xc)))))) (-. (Ex W0, ((aInteger0 W0) /\ ((sdtasdt0 (xq) W0) = (sdtpldt0 (xb) (smndt0 (xc))))))) (sdteqdtlpzmzozddtrp0 (xb) (xc) (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)))))))) (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
% 241.12/241.34 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 (xb) (smndt0 (xc))))))) ((aInteger0 (xa)) /\ ((aInteger0 (xb)) /\ ((aInteger0 (xq)) /\ (((xq) != (sz00)) /\ (aInteger0 (xc)))))) ### And 27
% 241.12/241.35 % SZS output end Proof
% 241.12/241.35 (* END-PROOF *)
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