TSTP Solution File: SYN728+1 by SuperZenon---0.0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : SYN728+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 : n015.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 12:46:10 EDT 2022
% Result : Theorem 0.19s 0.41s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SYN728+1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.13/0.33 % Computer : n015.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Tue Jul 12 07:34:25 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.41 % SZS status Theorem
% 0.19/0.41 (* PROOF-FOUND *)
% 0.19/0.41 (* BEGIN-PROOF *)
% 0.19/0.41 % SZS output start Proof
% 0.19/0.41 1. (p zenon_X0 T_1) (-. (p zenon_X0 T_1)) ### Axiom
% 0.19/0.41 2. (-. (Ex Y, (p zenon_X0 Y))) (p zenon_X0 T_1) ### NotExists 1
% 0.19/0.41 3. (p (g T_2) (g T_2)) (-. (p (g T_2) (g T_2))) ### Axiom
% 0.19/0.41 4. (-. (p T_2 T_2)) (p T_2 T_2) ### Axiom
% 0.19/0.41 5. (All Z, (p Z Z)) (-. (p T_2 T_2)) ### All 4
% 0.19/0.41 6. ((Ex Y, (p zenon_X0 Y)) => (All Z, (p Z Z))) (-. (p T_2 T_2)) (p zenon_X0 T_1) ### Imply 2 5
% 0.19/0.41 7. (All X, ((Ex Y, (p X Y)) => (All Z, (p Z Z)))) (p zenon_X0 T_1) (-. (p T_2 T_2)) ### All 6
% 0.19/0.41 8. (q (f zenon_X0 T_1)) (-. (q (f zenon_X0 T_1))) ### Axiom
% 0.19/0.41 9. (p (g (f zenon_X0 T_1)) T_3) (-. (p (g (f zenon_X0 T_1)) T_3)) ### Axiom
% 0.19/0.41 10. (-. (Ex Y, (p (g (f zenon_X0 T_1)) Y))) (p (g (f zenon_X0 T_1)) T_3) ### NotExists 9
% 0.19/0.41 11. ((Ex Y, (p (g (f zenon_X0 T_1)) Y)) => (All Z, (p Z Z))) (-. (p T_2 T_2)) (p (g (f zenon_X0 T_1)) T_3) ### Imply 10 5
% 0.19/0.41 12. (All X, ((Ex Y, (p X Y)) => (All Z, (p Z Z)))) (p (g (f zenon_X0 T_1)) T_3) (-. (p T_2 T_2)) ### All 11
% 0.19/0.41 13. (-. (m (g (f zenon_X0 T_1)))) (m (g (f zenon_X0 T_1))) ### Axiom
% 0.19/0.41 14. ((m (g (f zenon_X0 T_1))) /\ (q (f (g (f zenon_X0 T_1)) T_3))) (-. (m (g (f zenon_X0 T_1)))) ### And 13
% 0.19/0.41 15. ((p (g (f zenon_X0 T_1)) T_3) \/ ((m (g (f zenon_X0 T_1))) /\ (q (f (g (f zenon_X0 T_1)) T_3)))) (-. (m (g (f zenon_X0 T_1)))) (-. (p T_2 T_2)) (All X, ((Ex Y, (p X Y)) => (All Z, (p Z Z)))) ### Or 12 14
% 0.19/0.41 16. (Ex S, ((p (g (f zenon_X0 T_1)) S) \/ ((m (g (f zenon_X0 T_1))) /\ (q (f (g (f zenon_X0 T_1)) S))))) (All X, ((Ex Y, (p X Y)) => (All Z, (p Z Z)))) (-. (p T_2 T_2)) (-. (m (g (f zenon_X0 T_1)))) ### Exists 15
% 0.19/0.41 17. (All R, (Ex S, ((p R S) \/ ((m R) /\ (q (f R S)))))) (-. (m (g (f zenon_X0 T_1)))) (-. (p T_2 T_2)) (All X, ((Ex Y, (p X Y)) => (All Z, (p Z Z)))) ### All 16
% 0.19/0.41 18. ((q (f zenon_X0 T_1)) => (-. (m (g (f zenon_X0 T_1))))) (All X, ((Ex Y, (p X Y)) => (All Z, (p Z Z)))) (-. (p T_2 T_2)) (All R, (Ex S, ((p R S) \/ ((m R) /\ (q (f R S)))))) (q (f zenon_X0 T_1)) ### Imply 8 17
% 0.19/0.41 19. (All W, ((q W) => (-. (m (g W))))) (q (f zenon_X0 T_1)) (All R, (Ex S, ((p R S) \/ ((m R) /\ (q (f R S)))))) (-. (p T_2 T_2)) (All X, ((Ex Y, (p X Y)) => (All Z, (p Z Z)))) ### All 18
% 0.19/0.41 20. ((m zenon_X0) /\ (q (f zenon_X0 T_1))) (All X, ((Ex Y, (p X Y)) => (All Z, (p Z Z)))) (-. (p T_2 T_2)) (All R, (Ex S, ((p R S) \/ ((m R) /\ (q (f R S)))))) (All W, ((q W) => (-. (m (g W))))) ### And 19
% 0.19/0.41 21. ((p zenon_X0 T_1) \/ ((m zenon_X0) /\ (q (f zenon_X0 T_1)))) (All W, ((q W) => (-. (m (g W))))) (All R, (Ex S, ((p R S) \/ ((m R) /\ (q (f R S)))))) (-. (p T_2 T_2)) (All X, ((Ex Y, (p X Y)) => (All Z, (p Z Z)))) ### Or 7 20
% 0.19/0.41 22. (Ex S, ((p zenon_X0 S) \/ ((m zenon_X0) /\ (q (f zenon_X0 S))))) (All X, ((Ex Y, (p X Y)) => (All Z, (p Z Z)))) (-. (p T_2 T_2)) (All R, (Ex S, ((p R S) \/ ((m R) /\ (q (f R S)))))) (All W, ((q W) => (-. (m (g W))))) ### Exists 21
% 0.19/0.41 23. (All W, ((q W) => (-. (m (g W))))) (All R, (Ex S, ((p R S) \/ ((m R) /\ (q (f R S)))))) (-. (p T_2 T_2)) (All X, ((Ex Y, (p X Y)) => (All Z, (p Z Z)))) ### All 22
% 0.19/0.41 24. (-. ((p (g T_2) (g T_2)) /\ (p T_2 T_2))) (All X, ((Ex Y, (p X Y)) => (All Z, (p Z Z)))) (All R, (Ex S, ((p R S) \/ ((m R) /\ (q (f R S)))))) (All W, ((q W) => (-. (m (g W))))) (p (g T_2) (g T_2)) ### NotAnd 3 23
% 0.19/0.41 25. (-. (Ex V, ((p (g T_2) V) /\ (p T_2 T_2)))) (p (g T_2) (g T_2)) (All W, ((q W) => (-. (m (g W))))) (All R, (Ex S, ((p R S) \/ ((m R) /\ (q (f R S)))))) (All X, ((Ex Y, (p X Y)) => (All Z, (p Z Z)))) ### NotExists 24
% 0.19/0.41 26. (All Z, (p Z Z)) (All X, ((Ex Y, (p X Y)) => (All Z, (p Z Z)))) (All R, (Ex S, ((p R S) \/ ((m R) /\ (q (f R S)))))) (All W, ((q W) => (-. (m (g W))))) (-. (Ex V, ((p (g T_2) V) /\ (p T_2 T_2)))) ### All 25
% 0.19/0.41 27. ((Ex Y, (p zenon_X0 Y)) => (All Z, (p Z Z))) (-. (Ex V, ((p (g T_2) V) /\ (p T_2 T_2)))) (All W, ((q W) => (-. (m (g W))))) (All R, (Ex S, ((p R S) \/ ((m R) /\ (q (f R S)))))) (All X, ((Ex Y, (p X Y)) => (All Z, (p Z Z)))) (p zenon_X0 T_1) ### Imply 2 26
% 0.19/0.41 28. (p zenon_X0 T_1) (All X, ((Ex Y, (p X Y)) => (All Z, (p Z Z)))) (All R, (Ex S, ((p R S) \/ ((m R) /\ (q (f R S)))))) (All W, ((q W) => (-. (m (g W))))) (-. (Ex V, ((p (g T_2) V) /\ (p T_2 T_2)))) ### All 27
% 0.19/0.41 29. (q (f zenon_X0 T_1)) (-. (q (f zenon_X0 T_1))) ### Axiom
% 0.19/0.41 30. ((Ex Y, (p (g (f zenon_X0 T_1)) Y)) => (All Z, (p Z Z))) (-. (Ex V, ((p (g T_2) V) /\ (p T_2 T_2)))) (All W, ((q W) => (-. (m (g W))))) (All R, (Ex S, ((p R S) \/ ((m R) /\ (q (f R S)))))) (All X, ((Ex Y, (p X Y)) => (All Z, (p Z Z)))) (p (g (f zenon_X0 T_1)) T_3) ### Imply 10 26
% 0.19/0.41 31. (p (g (f zenon_X0 T_1)) T_3) (All X, ((Ex Y, (p X Y)) => (All Z, (p Z Z)))) (All R, (Ex S, ((p R S) \/ ((m R) /\ (q (f R S)))))) (All W, ((q W) => (-. (m (g W))))) (-. (Ex V, ((p (g T_2) V) /\ (p T_2 T_2)))) ### All 30
% 0.19/0.41 32. ((p (g (f zenon_X0 T_1)) T_3) \/ ((m (g (f zenon_X0 T_1))) /\ (q (f (g (f zenon_X0 T_1)) T_3)))) (-. (m (g (f zenon_X0 T_1)))) (-. (Ex V, ((p (g T_2) V) /\ (p T_2 T_2)))) (All W, ((q W) => (-. (m (g W))))) (All R, (Ex S, ((p R S) \/ ((m R) /\ (q (f R S)))))) (All X, ((Ex Y, (p X Y)) => (All Z, (p Z Z)))) ### Or 31 14
% 0.19/0.41 33. (Ex S, ((p (g (f zenon_X0 T_1)) S) \/ ((m (g (f zenon_X0 T_1))) /\ (q (f (g (f zenon_X0 T_1)) S))))) (All X, ((Ex Y, (p X Y)) => (All Z, (p Z Z)))) (All R, (Ex S, ((p R S) \/ ((m R) /\ (q (f R S)))))) (All W, ((q W) => (-. (m (g W))))) (-. (Ex V, ((p (g T_2) V) /\ (p T_2 T_2)))) (-. (m (g (f zenon_X0 T_1)))) ### Exists 32
% 0.19/0.41 34. (-. (m (g (f zenon_X0 T_1)))) (-. (Ex V, ((p (g T_2) V) /\ (p T_2 T_2)))) (All W, ((q W) => (-. (m (g W))))) (All R, (Ex S, ((p R S) \/ ((m R) /\ (q (f R S)))))) (All X, ((Ex Y, (p X Y)) => (All Z, (p Z Z)))) ### All 33
% 0.19/0.41 35. ((q (f zenon_X0 T_1)) => (-. (m (g (f zenon_X0 T_1))))) (All X, ((Ex Y, (p X Y)) => (All Z, (p Z Z)))) (All R, (Ex S, ((p R S) \/ ((m R) /\ (q (f R S)))))) (All W, ((q W) => (-. (m (g W))))) (-. (Ex V, ((p (g T_2) V) /\ (p T_2 T_2)))) (q (f zenon_X0 T_1)) ### Imply 29 34
% 0.19/0.41 36. (q (f zenon_X0 T_1)) (-. (Ex V, ((p (g T_2) V) /\ (p T_2 T_2)))) (All W, ((q W) => (-. (m (g W))))) (All R, (Ex S, ((p R S) \/ ((m R) /\ (q (f R S)))))) (All X, ((Ex Y, (p X Y)) => (All Z, (p Z Z)))) ### All 35
% 0.19/0.41 37. ((m zenon_X0) /\ (q (f zenon_X0 T_1))) (All X, ((Ex Y, (p X Y)) => (All Z, (p Z Z)))) (All R, (Ex S, ((p R S) \/ ((m R) /\ (q (f R S)))))) (All W, ((q W) => (-. (m (g W))))) (-. (Ex V, ((p (g T_2) V) /\ (p T_2 T_2)))) ### And 36
% 0.19/0.41 38. ((p zenon_X0 T_1) \/ ((m zenon_X0) /\ (q (f zenon_X0 T_1)))) (-. (Ex V, ((p (g T_2) V) /\ (p T_2 T_2)))) (All W, ((q W) => (-. (m (g W))))) (All R, (Ex S, ((p R S) \/ ((m R) /\ (q (f R S)))))) (All X, ((Ex Y, (p X Y)) => (All Z, (p Z Z)))) ### Or 28 37
% 0.19/0.41 39. (Ex S, ((p zenon_X0 S) \/ ((m zenon_X0) /\ (q (f zenon_X0 S))))) (All X, ((Ex Y, (p X Y)) => (All Z, (p Z Z)))) (All R, (Ex S, ((p R S) \/ ((m R) /\ (q (f R S)))))) (All W, ((q W) => (-. (m (g W))))) (-. (Ex V, ((p (g T_2) V) /\ (p T_2 T_2)))) ### Exists 38
% 0.19/0.41 40. (-. (Ex V, ((p (g T_2) V) /\ (p T_2 T_2)))) (All W, ((q W) => (-. (m (g W))))) (All R, (Ex S, ((p R S) \/ ((m R) /\ (q (f R S)))))) (All X, ((Ex Y, (p X Y)) => (All Z, (p Z Z)))) ### All 39
% 0.19/0.41 41. (-. (All U, (Ex V, ((p (g U) V) /\ (p U U))))) (All X, ((Ex Y, (p X Y)) => (All Z, (p Z Z)))) (All R, (Ex S, ((p R S) \/ ((m R) /\ (q (f R S)))))) (All W, ((q W) => (-. (m (g W))))) ### NotAllEx 40
% 0.19/0.41 42. (-. (((All X, ((Ex Y, (p X Y)) => (All Z, (p Z Z)))) /\ ((All R, (Ex S, ((p R S) \/ ((m R) /\ (q (f R S)))))) /\ (All W, ((q W) => (-. (m (g W))))))) => (All U, (Ex V, ((p (g U) V) /\ (p U U)))))) ### ConjTree 41
% 0.19/0.41 % SZS output end Proof
% 0.19/0.41 (* END-PROOF *)
%------------------------------------------------------------------------------