%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : ALG028+1 : TPTP v8.1.0. Released v2.7.0. % Transfm : none % Format : tptp:raw % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % Computer : n027.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 : Thu Jul 14 18:04:49 EDT 2022 % Result : Theorem 1.34s 1.54s % Output : Proof 1.34s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.11 % Problem : ALG028+1 : TPTP v8.1.0. Released v2.7.0. % 0.11/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.11/0.32 % Computer : n027.cluster.edu % 0.11/0.32 % Model : x86_64 x86_64 % 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.32 % Memory : 8042.1875MB % 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.33 % CPULimit : 300 % 0.11/0.33 % WCLimit : 600 % 0.11/0.33 % DateTime : Wed Jun 8 07:47:41 EDT 2022 % 0.18/0.33 % CPUTime : % 1.34/1.54 % SZS status Theorem % 1.34/1.54 (* PROOF-FOUND *) % 1.34/1.54 (* BEGIN-PROOF *) % 1.34/1.54 % SZS output start Proof % 1.34/1.54 1. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=) % 1.34/1.54 2. ((op (e0) (e1)) = (op (e1) (e0))) ((op (e0) (e1)) != (op (e1) (e0))) ### Axiom % 1.34/1.54 3. ((op (e0) (e2)) = (op (e2) (e0))) ((op (e0) (e2)) != (op (e2) (e0))) ### Axiom % 1.34/1.54 4. ((op (e0) (e3)) = (op (e3) (e0))) ((op (e0) (e3)) != (op (e3) (e0))) ### Axiom % 1.34/1.54 5. ((op (e0) (e4)) = (op (e4) (e0))) ((op (e0) (e4)) != (op (e4) (e0))) ### Axiom % 1.34/1.54 6. ((op (e0) (e5)) = (op (e5) (e0))) ((op (e0) (e5)) != (op (e5) (e0))) ### Axiom % 1.34/1.54 7. ((op (e0) (e1)) = (op (e1) (e0))) ((op (e1) (e0)) != (op (e0) (e1))) ### Sym(=) % 1.34/1.54 8. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 1.34/1.54 9. ((op (e1) (e2)) = (op (e2) (e1))) ((op (e1) (e2)) != (op (e2) (e1))) ### Axiom % 1.34/1.54 10. ((op (e1) (e3)) = (op (e3) (e1))) ((op (e1) (e3)) != (op (e3) (e1))) ### Axiom % 1.34/1.54 11. ((op (e1) (e4)) = (op (e4) (e1))) ((op (e1) (e4)) != (op (e4) (e1))) ### Axiom % 1.34/1.54 12. ((op (e1) (e5)) = (op (e5) (e1))) ((op (e1) (e5)) != (op (e5) (e1))) ### Axiom % 1.34/1.54 13. ((op (e0) (e2)) = (op (e2) (e0))) ((op (e2) (e0)) != (op (e0) (e2))) ### Sym(=) % 1.34/1.54 14. ((op (e1) (e2)) = (op (e2) (e1))) ((op (e2) (e1)) != (op (e1) (e2))) ### Sym(=) % 1.34/1.54 15. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 1.34/1.54 16. ((op (e2) (e3)) = (op (e3) (e2))) ((op (e2) (e3)) != (op (e3) (e2))) ### Axiom % 1.34/1.54 17. ((op (e2) (e4)) = (op (e4) (e2))) ((op (e2) (e4)) != (op (e4) (e2))) ### Axiom % 1.34/1.54 18. ((op (e2) (e5)) = (op (e5) (e2))) ((op (e2) (e5)) != (op (e5) (e2))) ### Axiom % 1.34/1.54 19. ((op (e0) (e3)) = (op (e3) (e0))) ((op (e3) (e0)) != (op (e0) (e3))) ### Sym(=) % 1.34/1.54 20. ((op (e1) (e3)) = (op (e3) (e1))) ((op (e3) (e1)) != (op (e1) (e3))) ### Sym(=) % 1.34/1.54 21. ((op (e2) (e3)) = (op (e3) (e2))) ((op (e3) (e2)) != (op (e2) (e3))) ### Sym(=) % 1.34/1.54 22. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 1.34/1.54 23. ((op (e3) (e4)) = (op (e4) (e3))) ((op (e3) (e4)) != (op (e4) (e3))) ### Axiom % 1.34/1.54 24. ((op (e3) (e5)) = (op (e5) (e3))) ((op (e3) (e5)) != (op (e5) (e3))) ### Axiom % 1.34/1.54 25. ((op (e0) (e4)) = (op (e4) (e0))) ((op (e4) (e0)) != (op (e0) (e4))) ### Sym(=) % 1.34/1.54 26. ((op (e1) (e4)) = (op (e4) (e1))) ((op (e4) (e1)) != (op (e1) (e4))) ### Sym(=) % 1.34/1.54 27. ((op (e2) (e4)) = (op (e4) (e2))) ((op (e4) (e2)) != (op (e2) (e4))) ### Sym(=) % 1.34/1.54 28. ((op (e3) (e4)) = (op (e4) (e3))) ((op (e4) (e3)) != (op (e3) (e4))) ### Sym(=) % 1.34/1.54 29. ((op (e4) (e4)) != (op (e4) (e4))) ### Refl(=) % 1.34/1.54 30. ((op (e4) (e5)) = (op (e5) (e4))) ((op (e4) (e5)) != (op (e5) (e4))) ### Axiom % 1.34/1.54 31. ((op (e0) (e5)) = (op (e5) (e0))) ((op (e5) (e0)) != (op (e0) (e5))) ### Sym(=) % 1.34/1.54 32. ((op (e1) (e5)) = (op (e5) (e1))) ((op (e5) (e1)) != (op (e1) (e5))) ### Sym(=) % 1.34/1.54 33. ((op (e2) (e5)) = (op (e5) (e2))) ((op (e5) (e2)) != (op (e2) (e5))) ### Sym(=) % 1.34/1.54 34. ((op (e3) (e5)) = (op (e5) (e3))) ((op (e5) (e3)) != (op (e3) (e5))) ### Sym(=) % 1.34/1.54 35. ((op (e4) (e5)) = (op (e5) (e4))) ((op (e5) (e4)) != (op (e4) (e5))) ### Sym(=) % 1.34/1.54 36. ((op (e5) (e5)) != (op (e5) (e5))) ### Refl(=) % 1.34/1.54 37. (-. (((op (e0) (e0)) = (op (e0) (e0))) /\ (((op (e0) (e1)) = (op (e1) (e0))) /\ (((op (e0) (e2)) = (op (e2) (e0))) /\ (((op (e0) (e3)) = (op (e3) (e0))) /\ (((op (e0) (e4)) = (op (e4) (e0))) /\ (((op (e0) (e5)) = (op (e5) (e0))) /\ (((op (e1) (e0)) = (op (e0) (e1))) /\ (((op (e1) (e1)) = (op (e1) (e1))) /\ (((op (e1) (e2)) = (op (e2) (e1))) /\ (((op (e1) (e3)) = (op (e3) (e1))) /\ (((op (e1) (e4)) = (op (e4) (e1))) /\ (((op (e1) (e5)) = (op (e5) (e1))) /\ (((op (e2) (e0)) = (op (e0) (e2))) /\ (((op (e2) (e1)) = (op (e1) (e2))) /\ (((op (e2) (e2)) = (op (e2) (e2))) /\ (((op (e2) (e3)) = (op (e3) (e2))) /\ (((op (e2) (e4)) = (op (e4) (e2))) /\ (((op (e2) (e5)) = (op (e5) (e2))) /\ (((op (e3) (e0)) = (op (e0) (e3))) /\ (((op (e3) (e1)) = (op (e1) (e3))) /\ (((op (e3) (e2)) = (op (e2) (e3))) /\ (((op (e3) (e3)) = (op (e3) (e3))) /\ (((op (e3) (e4)) = (op (e4) (e3))) /\ (((op (e3) (e5)) = (op (e5) (e3))) /\ (((op (e4) (e0)) = (op (e0) (e4))) /\ (((op (e4) (e1)) = (op (e1) (e4))) /\ (((op (e4) (e2)) = (op (e2) (e4))) /\ (((op (e4) (e3)) = (op (e3) (e4))) /\ (((op (e4) (e4)) = (op (e4) (e4))) /\ (((op (e4) (e5)) = (op (e5) (e4))) /\ (((op (e5) (e0)) = (op (e0) (e5))) /\ (((op (e5) (e1)) = (op (e1) (e5))) /\ (((op (e5) (e2)) = (op (e2) (e5))) /\ (((op (e5) (e3)) = (op (e3) (e5))) /\ (((op (e5) (e4)) = (op (e4) (e5))) /\ ((op (e5) (e5)) = (op (e5) (e5))))))))))))))))))))))))))))))))))))))) ((op (e4) (e5)) = (op (e5) (e4))) ((op (e3) (e5)) = (op (e5) (e3))) ((op (e3) (e4)) = (op (e4) (e3))) ((op (e2) (e5)) = (op (e5) (e2))) ((op (e2) (e4)) = (op (e4) (e2))) ((op (e2) (e3)) = (op (e3) (e2))) ((op (e1) (e5)) = (op (e5) (e1))) ((op (e1) (e4)) = (op (e4) (e1))) ((op (e1) (e3)) = (op (e3) (e1))) ((op (e1) (e2)) = (op (e2) (e1))) ((op (e0) (e5)) = (op (e5) (e0))) ((op (e0) (e4)) = (op (e4) (e0))) ((op (e0) (e3)) = (op (e3) (e0))) ((op (e0) (e2)) = (op (e2) (e0))) ((op (e0) (e1)) = (op (e1) (e0))) ### DisjTree 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 % 1.34/1.54 38. (((op (e0) (e0)) = (op (e0) (e0))) /\ (((op (e0) (e1)) = (op (e1) (e0))) /\ (((op (e0) (e2)) = (op (e2) (e0))) /\ (((op (e0) (e3)) = (op (e3) (e0))) /\ (((op (e0) (e4)) = (op (e4) (e0))) /\ (((op (e0) (e5)) = (op (e5) (e0))) /\ (((op (e1) (e0)) = (op (e0) (e1))) /\ (((op (e1) (e1)) = (op (e1) (e1))) /\ (((op (e1) (e2)) = (op (e2) (e1))) /\ (((op (e1) (e3)) = (op (e3) (e1))) /\ (((op (e1) (e4)) = (op (e4) (e1))) /\ (((op (e1) (e5)) = (op (e5) (e1))) /\ (((op (e2) (e0)) = (op (e0) (e2))) /\ (((op (e2) (e1)) = (op (e1) (e2))) /\ (((op (e2) (e2)) = (op (e2) (e2))) /\ (((op (e2) (e3)) = (op (e3) (e2))) /\ (((op (e2) (e4)) = (op (e4) (e2))) /\ (((op (e2) (e5)) = (op (e5) (e2))) /\ (((op (e3) (e0)) = (op (e0) (e3))) /\ (((op (e3) (e1)) = (op (e1) (e3))) /\ (((op (e3) (e2)) = (op (e2) (e3))) /\ (((op (e3) (e3)) = (op (e3) (e3))) /\ (((op (e3) (e4)) = (op (e4) (e3))) /\ (((op (e3) (e5)) = (op (e5) (e3))) /\ (((op (e4) (e0)) = (op (e0) (e4))) /\ (((op (e4) (e1)) = (op (e1) (e4))) /\ (((op (e4) (e2)) = (op (e2) (e4))) /\ (((op (e4) (e3)) = (op (e3) (e4))) /\ (((op (e4) (e4)) = (op (e4) (e4))) /\ (((op (e4) (e5)) = (op (e5) (e4))) /\ (((op (e5) (e0)) = (op (e0) (e5))) /\ (((op (e5) (e1)) = (op (e1) (e5))) /\ (((op (e5) (e2)) = (op (e2) (e5))) /\ (((op (e5) (e3)) = (op (e3) (e5))) /\ (((op (e5) (e4)) = (op (e4) (e5))) /\ (((op (e5) (e5)) = (op (e5) (e5))) /\ (-. (((op (e0) (e0)) = (op (e0) (e0))) /\ (((op (e0) (e1)) = (op (e1) (e0))) /\ (((op (e0) (e2)) = (op (e2) (e0))) /\ (((op (e0) (e3)) = (op (e3) (e0))) /\ (((op (e0) (e4)) = (op (e4) (e0))) /\ (((op (e0) (e5)) = (op (e5) (e0))) /\ (((op (e1) (e0)) = (op (e0) (e1))) /\ (((op (e1) (e1)) = (op (e1) (e1))) /\ (((op (e1) (e2)) = (op (e2) (e1))) /\ (((op (e1) (e3)) = (op (e3) (e1))) /\ (((op (e1) (e4)) = (op (e4) (e1))) /\ (((op (e1) (e5)) = (op (e5) (e1))) /\ (((op (e2) (e0)) = (op (e0) (e2))) /\ (((op (e2) (e1)) = (op (e1) (e2))) /\ (((op (e2) (e2)) = (op (e2) (e2))) /\ (((op (e2) (e3)) = (op (e3) (e2))) /\ (((op (e2) (e4)) = (op (e4) (e2))) /\ (((op (e2) (e5)) = (op (e5) (e2))) /\ (((op (e3) (e0)) = (op (e0) (e3))) /\ (((op (e3) (e1)) = (op (e1) (e3))) /\ (((op (e3) (e2)) = (op (e2) (e3))) /\ (((op (e3) (e3)) = (op (e3) (e3))) /\ (((op (e3) (e4)) = (op (e4) (e3))) /\ (((op (e3) (e5)) = (op (e5) (e3))) /\ (((op (e4) (e0)) = (op (e0) (e4))) /\ (((op (e4) (e1)) = (op (e1) (e4))) /\ (((op (e4) (e2)) = (op (e2) (e4))) /\ (((op (e4) (e3)) = (op (e3) (e4))) /\ (((op (e4) (e4)) = (op (e4) (e4))) /\ (((op (e4) (e5)) = (op (e5) (e4))) /\ (((op (e5) (e0)) = (op (e0) (e5))) /\ (((op (e5) (e1)) = (op (e1) (e5))) /\ (((op (e5) (e2)) = (op (e2) (e5))) /\ (((op (e5) (e3)) = (op (e3) (e5))) /\ (((op (e5) (e4)) = (op (e4) (e5))) /\ ((op (e5) (e5)) = (op (e5) (e5))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ### ConjTree 37 % 1.34/1.54 39. (-. (-. (((op (e0) (e0)) = (op (e0) (e0))) /\ (((op (e0) (e1)) = (op (e1) (e0))) /\ (((op (e0) (e2)) = (op (e2) (e0))) /\ (((op (e0) (e3)) = (op (e3) (e0))) /\ (((op (e0) (e4)) = (op (e4) (e0))) /\ (((op (e0) (e5)) = (op (e5) (e0))) /\ (((op (e1) (e0)) = (op (e0) (e1))) /\ (((op (e1) (e1)) = (op (e1) (e1))) /\ (((op (e1) (e2)) = (op (e2) (e1))) /\ (((op (e1) (e3)) = (op (e3) (e1))) /\ (((op (e1) (e4)) = (op (e4) (e1))) /\ (((op (e1) (e5)) = (op (e5) (e1))) /\ (((op (e2) (e0)) = (op (e0) (e2))) /\ (((op (e2) (e1)) = (op (e1) (e2))) /\ (((op (e2) (e2)) = (op (e2) (e2))) /\ (((op (e2) (e3)) = (op (e3) (e2))) /\ (((op (e2) (e4)) = (op (e4) (e2))) /\ (((op (e2) (e5)) = (op (e5) (e2))) /\ (((op (e3) (e0)) = (op (e0) (e3))) /\ (((op (e3) (e1)) = (op (e1) (e3))) /\ (((op (e3) (e2)) = (op (e2) (e3))) /\ (((op (e3) (e3)) = (op (e3) (e3))) /\ (((op (e3) (e4)) = (op (e4) (e3))) /\ (((op (e3) (e5)) = (op (e5) (e3))) /\ (((op (e4) (e0)) = (op (e0) (e4))) /\ (((op (e4) (e1)) = (op (e1) (e4))) /\ (((op (e4) (e2)) = (op (e2) (e4))) /\ (((op (e4) (e3)) = (op (e3) (e4))) /\ (((op (e4) (e4)) = (op (e4) (e4))) /\ (((op (e4) (e5)) = (op (e5) (e4))) /\ (((op (e5) (e0)) = (op (e0) (e5))) /\ (((op (e5) (e1)) = (op (e1) (e5))) /\ (((op (e5) (e2)) = (op (e2) (e5))) /\ (((op (e5) (e3)) = (op (e3) (e5))) /\ (((op (e5) (e4)) = (op (e4) (e5))) /\ (((op (e5) (e5)) = (op (e5) (e5))) /\ (-. (((op (e0) (e0)) = (op (e0) (e0))) /\ (((op (e0) (e1)) = (op (e1) (e0))) /\ (((op (e0) (e2)) = (op (e2) (e0))) /\ (((op (e0) (e3)) = (op (e3) (e0))) /\ (((op (e0) (e4)) = (op (e4) (e0))) /\ (((op (e0) (e5)) = (op (e5) (e0))) /\ (((op (e1) (e0)) = (op (e0) (e1))) /\ (((op (e1) (e1)) = (op (e1) (e1))) /\ (((op (e1) (e2)) = (op (e2) (e1))) /\ (((op (e1) (e3)) = (op (e3) (e1))) /\ (((op (e1) (e4)) = (op (e4) (e1))) /\ (((op (e1) (e5)) = (op (e5) (e1))) /\ (((op (e2) (e0)) = (op (e0) (e2))) /\ (((op (e2) (e1)) = (op (e1) (e2))) /\ (((op (e2) (e2)) = (op (e2) (e2))) /\ (((op (e2) (e3)) = (op (e3) (e2))) /\ (((op (e2) (e4)) = (op (e4) (e2))) /\ (((op (e2) (e5)) = (op (e5) (e2))) /\ (((op (e3) (e0)) = (op (e0) (e3))) /\ (((op (e3) (e1)) = (op (e1) (e3))) /\ (((op (e3) (e2)) = (op (e2) (e3))) /\ (((op (e3) (e3)) = (op (e3) (e3))) /\ (((op (e3) (e4)) = (op (e4) (e3))) /\ (((op (e3) (e5)) = (op (e5) (e3))) /\ (((op (e4) (e0)) = (op (e0) (e4))) /\ (((op (e4) (e1)) = (op (e1) (e4))) /\ (((op (e4) (e2)) = (op (e2) (e4))) /\ (((op (e4) (e3)) = (op (e3) (e4))) /\ (((op (e4) (e4)) = (op (e4) (e4))) /\ (((op (e4) (e5)) = (op (e5) (e4))) /\ (((op (e5) (e0)) = (op (e0) (e5))) /\ (((op (e5) (e1)) = (op (e1) (e5))) /\ (((op (e5) (e2)) = (op (e2) (e5))) /\ (((op (e5) (e3)) = (op (e3) (e5))) /\ (((op (e5) (e4)) = (op (e4) (e5))) /\ ((op (e5) (e5)) = (op (e5) (e5))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ### NotNot 38 % 1.34/1.54 % SZS output end Proof % 1.34/1.54 (* END-PROOF *) %------------------------------------------------------------------------------