TSTP Solution File: NUN088+3 by SuperZenon---0.0.1
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- Process Solution
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% File : SuperZenon---0.0.1
% Problem : NUN088+3 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% Computer : n028.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 16:39:12 EDT 2022
% Result : Theorem 0.20s 0.44s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : NUN088+3 : TPTP v8.1.0. Released v7.3.0.
% 0.13/0.14 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.13/0.35 % Computer : n028.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 Jun 2 09:33:53 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.44 % SZS status Theorem
% 0.20/0.44 (* PROOF-FOUND *)
% 0.20/0.44 (* BEGIN-PROOF *)
% 0.20/0.44 % SZS output start Proof
% 0.20/0.44 1. (r1 T_0) (-. (r1 T_0)) ### Axiom
% 0.20/0.44 2. (T_0 != T_0) ### Refl(=)
% 0.20/0.44 3. ((-. (r1 T_0)) \/ (T_0 != T_0)) (r1 T_0) ### Or 1 2
% 0.20/0.44 4. (All Y20, ((-. (r1 Y20)) \/ (Y20 != T_0))) (r1 T_0) ### All 3
% 0.20/0.44 5. (r2 T_0 T_1) (-. (r2 T_0 T_1)) ### Axiom
% 0.20/0.44 6. ((-. (r2 T_0 T_1)) /\ (T_1 != T_2)) (r2 T_0 T_1) ### And 5
% 0.20/0.44 7. (T_0 != T_0) ### Refl(=)
% 0.20/0.44 8. (T_1 = T_2) (T_1 != T_2) ### Axiom
% 0.20/0.44 9. (T_0 != T_2) (T_0 = T_1) (T_1 = T_2) ### Trans 7 8
% 0.20/0.44 10. ((-. (r2 T_0 T_0)) /\ (T_0 != T_2)) (T_1 = T_2) (T_0 = T_1) ### And 9
% 0.20/0.44 11. (-. (r2 T_0 T_0)) (r2 T_0 T_0) ### Axiom
% 0.20/0.44 12. ((r2 T_0 T_0) /\ (T_0 = T_2)) (-. (r2 T_0 T_0)) ### And 11
% 0.20/0.44 13. (((-. (r2 T_0 T_0)) /\ (T_0 != T_2)) \/ ((r2 T_0 T_0) /\ (T_0 = T_2))) (-. (r2 T_0 T_0)) (T_0 = T_1) (T_1 = T_2) ### Or 10 12
% 0.20/0.44 14. (All X12, (((-. (r2 T_0 X12)) /\ (X12 != T_2)) \/ ((r2 T_0 X12) /\ (X12 = T_2)))) (T_1 = T_2) (T_0 = T_1) (-. (r2 T_0 T_0)) ### All 13
% 0.20/0.44 15. ((r2 T_0 T_1) /\ (T_1 = T_2)) (-. (r2 T_0 T_0)) (T_0 = T_1) (All X12, (((-. (r2 T_0 X12)) /\ (X12 != T_2)) \/ ((r2 T_0 X12) /\ (X12 = T_2)))) ### And 14
% 0.20/0.44 16. (((-. (r2 T_0 T_1)) /\ (T_1 != T_2)) \/ ((r2 T_0 T_1) /\ (T_1 = T_2))) (All X12, (((-. (r2 T_0 X12)) /\ (X12 != T_2)) \/ ((r2 T_0 X12) /\ (X12 = T_2)))) (T_0 = T_1) (-. (r2 T_0 T_0)) (r2 T_0 T_1) ### Or 6 15
% 0.20/0.44 17. (r2 T_0 T_1) (-. (r2 T_0 T_0)) (T_0 = T_1) (All X12, (((-. (r2 T_0 X12)) /\ (X12 != T_2)) \/ ((r2 T_0 X12) /\ (X12 = T_2)))) ### All 16
% 0.20/0.44 18. (Ex Y21, (All X12, (((-. (r2 T_0 X12)) /\ (X12 != Y21)) \/ ((r2 T_0 X12) /\ (X12 = Y21))))) (T_0 = T_1) (-. (r2 T_0 T_0)) (r2 T_0 T_1) ### Exists 17
% 0.20/0.44 19. (All X11, (Ex Y21, (All X12, (((-. (r2 X11 X12)) /\ (X12 != Y21)) \/ ((r2 X11 X12) /\ (X12 = Y21)))))) (r2 T_0 T_1) (-. (r2 T_0 T_0)) (T_0 = T_1) ### All 18
% 0.20/0.44 20. ((All Y20, ((-. (r1 Y20)) \/ (Y20 != T_0))) \/ (-. (r2 T_0 T_0))) (T_0 = T_1) (r2 T_0 T_1) (All X11, (Ex Y21, (All X12, (((-. (r2 X11 X12)) /\ (X12 != Y21)) \/ ((r2 X11 X12) /\ (X12 = Y21)))))) (r1 T_0) ### Or 4 19
% 0.20/0.44 21. (All Y10, ((All Y20, ((-. (r1 Y20)) \/ (Y20 != Y10))) \/ (-. (r2 T_0 Y10)))) (r1 T_0) (All X11, (Ex Y21, (All X12, (((-. (r2 X11 X12)) /\ (X12 != Y21)) \/ ((r2 X11 X12) /\ (X12 = Y21)))))) (r2 T_0 T_1) (T_0 = T_1) ### All 20
% 0.20/0.44 22. (All X7, (All Y10, ((All Y20, ((-. (r1 Y20)) \/ (Y20 != Y10))) \/ (-. (r2 X7 Y10))))) (T_0 = T_1) (r2 T_0 T_1) (All X11, (Ex Y21, (All X12, (((-. (r2 X11 X12)) /\ (X12 != Y21)) \/ ((r2 X11 X12) /\ (X12 = Y21)))))) (r1 T_0) ### All 21
% 0.20/0.44 23. (-. (-. (r1 T_0))) (All X11, (Ex Y21, (All X12, (((-. (r2 X11 X12)) /\ (X12 != Y21)) \/ ((r2 X11 X12) /\ (X12 = Y21)))))) (r2 T_0 T_1) (T_0 = T_1) (All X7, (All Y10, ((All Y20, ((-. (r1 Y20)) \/ (Y20 != Y10))) \/ (-. (r2 X7 Y10))))) ### NotNot 22
% 0.20/0.44 24. (-. (-. (r2 T_0 T_1))) (All X7, (All Y10, ((All Y20, ((-. (r1 Y20)) \/ (Y20 != Y10))) \/ (-. (r2 X7 Y10))))) (T_0 = T_1) (All X11, (Ex Y21, (All X12, (((-. (r2 X11 X12)) /\ (X12 != Y21)) \/ ((r2 X11 X12) /\ (X12 = Y21)))))) (-. (-. (r1 T_0))) ### NotNot 23
% 0.20/0.44 25. (-. (T_0 != T_1)) (-. (-. (r1 T_0))) (All X11, (Ex Y21, (All X12, (((-. (r2 X11 X12)) /\ (X12 != Y21)) \/ ((r2 X11 X12) /\ (X12 = Y21)))))) (All X7, (All Y10, ((All Y20, ((-. (r1 Y20)) \/ (Y20 != Y10))) \/ (-. (r2 X7 Y10))))) (-. (-. (r2 T_0 T_1))) ### NotNot 24
% 0.20/0.44 26. (-. ((T_0 != T_1) \/ (-. (r2 T_0 T_1)))) (All X7, (All Y10, ((All Y20, ((-. (r1 Y20)) \/ (Y20 != Y10))) \/ (-. (r2 X7 Y10))))) (All X11, (Ex Y21, (All X12, (((-. (r2 X11 X12)) /\ (X12 != Y21)) \/ ((r2 X11 X12) /\ (X12 = Y21)))))) (-. (-. (r1 T_0))) ### NotOr 25
% 0.20/0.44 27. (-. (All Y1, ((T_0 != Y1) \/ (-. (r2 T_0 Y1))))) (-. (-. (r1 T_0))) (All X11, (Ex Y21, (All X12, (((-. (r2 X11 X12)) /\ (X12 != Y21)) \/ ((r2 X11 X12) /\ (X12 = Y21)))))) (All X7, (All Y10, ((All Y20, ((-. (r1 Y20)) \/ (Y20 != Y10))) \/ (-. (r2 X7 Y10))))) ### NotAllEx 26
% 0.20/0.44 28. (-. ((All Y1, ((T_0 != Y1) \/ (-. (r2 T_0 Y1)))) \/ (-. (r1 T_0)))) (All X7, (All Y10, ((All Y20, ((-. (r1 Y20)) \/ (Y20 != Y10))) \/ (-. (r2 X7 Y10))))) (All X11, (Ex Y21, (All X12, (((-. (r2 X11 X12)) /\ (X12 != Y21)) \/ ((r2 X11 X12) /\ (X12 = Y21)))))) ### NotOr 27
% 0.20/0.44 29. (-. (All Y0, ((All Y1, ((Y0 != Y1) \/ (-. (r2 Y0 Y1)))) \/ (-. (r1 Y0))))) (All X11, (Ex Y21, (All X12, (((-. (r2 X11 X12)) /\ (X12 != Y21)) \/ ((r2 X11 X12) /\ (X12 = Y21)))))) (All X7, (All Y10, ((All Y20, ((-. (r1 Y20)) \/ (Y20 != Y10))) \/ (-. (r2 X7 Y10))))) ### NotAllEx 28
% 0.20/0.44 % SZS output end Proof
% 0.20/0.44 (* END-PROOF *)
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