TSTP Solution File: SYN726+1 by SuperZenon---0.0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : SYN726+1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% Computer : n022.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 21 12:46:08 EDT 2022
% Result : Theorem 0.47s 0.63s
% Output : Proof 0.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN726+1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.12/0.33 % Computer : n022.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jul 12 03:19:55 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.47/0.63 % SZS status Theorem
% 0.47/0.63 (* PROOF-FOUND *)
% 0.47/0.63 (* BEGIN-PROOF *)
% 0.47/0.63 % SZS output start Proof
% 0.47/0.63 1. (-. (p T_0 T_1)) (p T_0 T_1) ### Axiom
% 0.47/0.63 2. (-. (p T_0 T_2)) (p T_0 T_2) ### Axiom
% 0.47/0.63 3. (-. (q T_2 T_0)) (q T_0 T_2) ### Sym(q)
% 0.47/0.63 4. ((p T_0 T_2) \/ (q T_0 T_2)) (-. (q T_2 T_0)) (-. (p T_0 T_2)) ### Or 2 3
% 0.47/0.63 5. (All Y, ((p T_0 Y) \/ (q T_0 Y))) (-. (p T_0 T_2)) (-. (q T_2 T_0)) ### All 4
% 0.47/0.63 6. (T_1 != T_1) ### Refl(=)
% 0.47/0.63 7. (-. (q T_2 T_1)) (q T_0 T_1) (-. (p T_0 T_2)) (All Y, ((p T_0 Y) \/ (q T_0 Y))) ### Trans 5 6
% 0.47/0.63 8. ((p T_0 T_1) \/ (q T_0 T_1)) (All Y, ((p T_0 Y) \/ (q T_0 Y))) (-. (p T_0 T_2)) (-. (q T_2 T_1)) (-. (p T_0 T_1)) ### Or 1 7
% 0.47/0.63 9. (-. (p T_0 T_1)) (-. (q T_2 T_1)) (-. (p T_0 T_2)) (All Y, ((p T_0 Y) \/ (q T_0 Y))) ### All 8
% 0.47/0.63 10. (T_1 != T_1) ### Refl(=)
% 0.47/0.63 11. (p T_2 T_1) (All Y, ((p T_0 Y) \/ (q T_0 Y))) (-. (q T_2 T_1)) (-. (p T_0 T_1)) ### Trans 9 10
% 0.47/0.63 12. (T_3 != T_3) ### Refl(=)
% 0.47/0.63 13. (-. (p T_0 T_3)) (p T_1 T_3) (-. (q T_2 T_1)) (All Y, ((p T_0 Y) \/ (q T_0 Y))) (p T_2 T_1) ### Trans 11 12
% 0.47/0.63 14. (T_1 != T_1) ### Refl(=)
% 0.47/0.63 15. (All X, (All Y, ((p X Y) \/ (q X Y)))) (-. (p T_0 T_2)) (-. (q T_2 T_1)) (-. (p T_0 T_1)) ### All 9
% 0.47/0.63 16. (T_2 != T_2) ### Refl(=)
% 0.47/0.63 17. (p T_1 T_2) (-. (q T_2 T_1)) (-. (p T_0 T_2)) (All X, (All Y, ((p X Y) \/ (q X Y)))) ### Trans 15 16
% 0.47/0.63 18. (T_3 != T_3) ### Refl(=)
% 0.47/0.63 19. (-. (p T_0 T_3)) (p T_2 T_3) (All X, (All Y, ((p X Y) \/ (q X Y)))) (-. (q T_2 T_1)) (p T_1 T_2) ### Trans 17 18
% 0.47/0.63 20. (-. (q T_3 T_2)) (q T_2 T_3) ### Sym(q)
% 0.47/0.63 21. ((p T_2 T_3) \/ (q T_2 T_3)) (-. (q T_3 T_2)) (p T_1 T_2) (-. (q T_2 T_1)) (All X, (All Y, ((p X Y) \/ (q X Y)))) (-. (p T_0 T_3)) ### Or 19 20
% 0.47/0.63 22. (All Y, ((p T_2 Y) \/ (q T_2 Y))) (-. (p T_0 T_3)) (All X, (All Y, ((p X Y) \/ (q X Y)))) (-. (q T_2 T_1)) (p T_1 T_2) (-. (q T_3 T_2)) ### All 21
% 0.47/0.63 23. (q T_1 T_3) (p T_1 T_2) (-. (q T_2 T_1)) (All X, (All Y, ((p X Y) \/ (q X Y)))) (-. (p T_0 T_3)) (All Y, ((p T_2 Y) \/ (q T_2 Y))) ### Trans-sym 14 22
% 0.47/0.63 24. ((p T_1 T_3) \/ (q T_1 T_3)) (All Y, ((p T_2 Y) \/ (q T_2 Y))) (All X, (All Y, ((p X Y) \/ (q X Y)))) (p T_1 T_2) (p T_2 T_1) (All Y, ((p T_0 Y) \/ (q T_0 Y))) (-. (q T_2 T_1)) (-. (p T_0 T_3)) ### Or 13 23
% 0.47/0.63 25. (All Y, ((p T_1 Y) \/ (q T_1 Y))) (-. (p T_0 T_3)) (-. (q T_2 T_1)) (All Y, ((p T_0 Y) \/ (q T_0 Y))) (p T_2 T_1) (p T_1 T_2) (All X, (All Y, ((p X Y) \/ (q X Y)))) (All Y, ((p T_2 Y) \/ (q T_2 Y))) ### All 24
% 0.47/0.63 26. (All Y, ((p T_2 Y) \/ (q T_2 Y))) (All X, (All Y, ((p X Y) \/ (q X Y)))) (p T_1 T_2) (p T_2 T_1) (-. (q T_2 T_1)) (-. (p T_0 T_3)) (All Y, ((p T_1 Y) \/ (q T_1 Y))) ### All 25
% 0.47/0.63 27. (-. (q T_2 T_1)) (q T_2 T_1) ### Axiom
% 0.47/0.63 28. ((p T_2 T_1) \/ (q T_2 T_1)) (All Y, ((p T_1 Y) \/ (q T_1 Y))) (-. (p T_0 T_3)) (-. (q T_2 T_1)) (p T_1 T_2) (All X, (All Y, ((p X Y) \/ (q X Y)))) (All Y, ((p T_2 Y) \/ (q T_2 Y))) ### Or 26 27
% 0.47/0.63 29. (All Y, ((p T_2 Y) \/ (q T_2 Y))) (All X, (All Y, ((p X Y) \/ (q X Y)))) (p T_1 T_2) (-. (q T_2 T_1)) (-. (p T_0 T_3)) (All Y, ((p T_1 Y) \/ (q T_1 Y))) ### All 28
% 0.47/0.63 30. (-. (q T_2 T_1)) (q T_1 T_2) ### Sym(q)
% 0.47/0.63 31. ((p T_1 T_2) \/ (q T_1 T_2)) (All Y, ((p T_1 Y) \/ (q T_1 Y))) (-. (p T_0 T_3)) (-. (q T_2 T_1)) (All X, (All Y, ((p X Y) \/ (q X Y)))) (All Y, ((p T_2 Y) \/ (q T_2 Y))) ### Or 29 30
% 0.47/0.63 32. (All Y, ((p T_2 Y) \/ (q T_2 Y))) (All X, (All Y, ((p X Y) \/ (q X Y)))) (-. (q T_2 T_1)) (-. (p T_0 T_3)) (All Y, ((p T_1 Y) \/ (q T_1 Y))) ### All 31
% 0.47/0.63 33. (All Y, ((p T_1 Y) \/ (q T_1 Y))) (-. (p T_0 T_3)) (-. (q T_2 T_1)) (All X, (All Y, ((p X Y) \/ (q X Y)))) ### All 32
% 0.47/0.63 34. (All X, (All Y, ((p X Y) \/ (q X Y)))) (-. (q T_2 T_1)) (-. (p T_0 T_3)) ### All 33
% 0.47/0.63 35. (-. (All Y, (q T_2 Y))) (-. (p T_0 T_3)) (All X, (All Y, ((p X Y) \/ (q X Y)))) ### NotAllEx 34
% 0.47/0.63 36. (-. (All X, (All Y, (q X Y)))) (All X, (All Y, ((p X Y) \/ (q X Y)))) (-. (p T_0 T_3)) ### NotAllEx 35
% 0.47/0.63 37. (-. (All Y, (p T_0 Y))) (All X, (All Y, ((p X Y) \/ (q X Y)))) (-. (All X, (All Y, (q X Y)))) ### NotAllEx 36
% 0.47/0.63 38. (-. (All X, (All Y, (p X Y)))) (-. (All X, (All Y, (q X Y)))) (All X, (All Y, ((p X Y) \/ (q X Y)))) ### NotAllEx 37
% 0.47/0.63 39. (-. ((((All X, (All Y, (All Z, (((p X Y) /\ (p Y Z)) => (p X Z))))) /\ ((All X, (All Y, (All Z, (((q X Y) /\ (q Y Z)) => (q X Z))))) /\ ((All X, (All Y, ((q X Y) => (q Y X)))) /\ (All X, (All Y, ((p X Y) \/ (q X Y))))))) => (All X, (All Y, (p X Y)))) \/ (All X, (All Y, (q X Y))))) ### ConjTree 38
% 0.47/0.63 % SZS output end Proof
% 0.47/0.63 (* END-PROOF *)
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