TSTP Solution File: SYN940+1 by SuperZenon---0.0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : SYN940+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% Computer : n021.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 12:47:24 EDT 2022
% Result : Theorem 0.18s 0.41s
% Output : Proof 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN940+1 : TPTP v8.1.0. Released v3.1.0.
% 0.11/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.12/0.33 % Computer : n021.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 06:23:54 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.18/0.41 % SZS status Theorem
% 0.18/0.41 (* PROOF-FOUND *)
% 0.18/0.41 (* BEGIN-PROOF *)
% 0.18/0.41 % SZS output start Proof
% 0.18/0.41 1. (-. (p (f zenon_X0))) (p (f zenon_X0)) ### Axiom
% 0.18/0.41 2. (-. ((p (f zenon_X0)) => ((p (f zenon_X0)) /\ ((r zenon_X0) => ((r T_1) /\ (r T_2)))))) (-. (p (f zenon_X0))) ### NotImply 1
% 0.18/0.41 3. (q (f zenon_X0)) (-. (q (f zenon_X0))) ### Axiom
% 0.18/0.41 4. (-. (((p (f zenon_X0)) => ((p (f zenon_X0)) /\ ((r zenon_X0) => ((r T_1) /\ (r T_2))))) /\ (q (f zenon_X0)))) (q (f zenon_X0)) (-. (p (f zenon_X0))) ### NotAnd 2 3
% 0.18/0.41 5. (-. (Ex Y, (((p (f Y)) => ((p (f zenon_X0)) /\ ((r Y) => ((r T_1) /\ (r T_2))))) /\ (q (f zenon_X0))))) (-. (p (f zenon_X0))) (q (f zenon_X0)) ### NotExists 4
% 0.18/0.41 6. (p (f T_1)) (-. (p (f T_1))) ### Axiom
% 0.18/0.41 7. (-. (r T_1)) (r T_1) ### Axiom
% 0.18/0.41 8. (-. ((r T_1) => ((r T_1) /\ (r T_2)))) (-. (r T_1)) ### NotImply 7
% 0.18/0.41 9. (-. ((p (f T_1)) /\ ((r T_1) => ((r T_1) /\ (r T_2))))) (-. (r T_1)) (p (f T_1)) ### NotAnd 6 8
% 0.18/0.41 10. (-. ((p (f T_1)) => ((p (f T_1)) /\ ((r T_1) => ((r T_1) /\ (r T_2)))))) (p (f T_1)) (-. (r T_1)) ### NotImply 9
% 0.18/0.41 11. (q (f T_1)) (-. (q (f T_1))) ### Axiom
% 0.18/0.41 12. (-. (((p (f T_1)) => ((p (f T_1)) /\ ((r T_1) => ((r T_1) /\ (r T_2))))) /\ (q (f T_1)))) (q (f T_1)) (-. (r T_1)) (p (f T_1)) ### NotAnd 10 11
% 0.18/0.41 13. (-. (Ex Y, (((p (f Y)) => ((p (f T_1)) /\ ((r Y) => ((r T_1) /\ (r T_2))))) /\ (q (f T_1))))) (p (f T_1)) (-. (r T_1)) (q (f T_1)) ### NotExists 12
% 0.18/0.41 14. (-. (Ex X, (Ex Y, (((p (f Y)) => ((p X) /\ ((r Y) => ((r T_1) /\ (r T_2))))) /\ (q X))))) (q (f T_1)) (-. (r T_1)) (p (f T_1)) ### NotExists 13
% 0.18/0.41 15. (All Z, (q (f Z))) (p (f T_1)) (-. (r T_1)) (-. (Ex X, (Ex Y, (((p (f Y)) => ((p X) /\ ((r Y) => ((r T_1) /\ (r T_2))))) /\ (q X))))) ### All 14
% 0.18/0.41 16. (-. ((p (f T_1)) => ((p (f zenon_X0)) /\ ((r T_1) => ((r T_1) /\ (r T_2)))))) (-. (Ex X, (Ex Y, (((p (f Y)) => ((p X) /\ ((r Y) => ((r T_1) /\ (r T_2))))) /\ (q X))))) (-. (r T_1)) (All Z, (q (f Z))) ### NotImply 15
% 0.18/0.41 17. (q (f zenon_X0)) (-. (q (f zenon_X0))) ### Axiom
% 0.18/0.41 18. (-. (((p (f T_1)) => ((p (f zenon_X0)) /\ ((r T_1) => ((r T_1) /\ (r T_2))))) /\ (q (f zenon_X0)))) (q (f zenon_X0)) (All Z, (q (f Z))) (-. (r T_1)) (-. (Ex X, (Ex Y, (((p (f Y)) => ((p X) /\ ((r Y) => ((r T_1) /\ (r T_2))))) /\ (q X))))) ### NotAnd 16 17
% 0.18/0.41 19. (-. (Ex Y, (((p (f Y)) => ((p (f zenon_X0)) /\ ((r Y) => ((r T_1) /\ (r T_2))))) /\ (q (f zenon_X0))))) (-. (Ex X, (Ex Y, (((p (f Y)) => ((p X) /\ ((r Y) => ((r T_1) /\ (r T_2))))) /\ (q X))))) (-. (r T_1)) (All Z, (q (f Z))) (q (f zenon_X0)) ### NotExists 18
% 0.18/0.41 20. (p (f T_2)) (-. (p (f T_2))) ### Axiom
% 0.18/0.41 21. (-. (r T_2)) (r T_2) ### Axiom
% 0.18/0.41 22. (-. ((r T_2) => ((r T_1) /\ (r T_2)))) (-. (r T_2)) ### NotImply 21
% 0.18/0.41 23. (-. ((p (f T_2)) /\ ((r T_2) => ((r T_1) /\ (r T_2))))) (-. (r T_2)) (p (f T_2)) ### NotAnd 20 22
% 0.18/0.41 24. (-. ((p (f T_2)) => ((p (f T_2)) /\ ((r T_2) => ((r T_1) /\ (r T_2)))))) (p (f T_2)) (-. (r T_2)) ### NotImply 23
% 0.18/0.41 25. (q (f T_2)) (-. (q (f T_2))) ### Axiom
% 0.18/0.41 26. (-. (((p (f T_2)) => ((p (f T_2)) /\ ((r T_2) => ((r T_1) /\ (r T_2))))) /\ (q (f T_2)))) (q (f T_2)) (-. (r T_2)) (p (f T_2)) ### NotAnd 24 25
% 0.18/0.41 27. (-. (Ex Y, (((p (f Y)) => ((p (f T_2)) /\ ((r Y) => ((r T_1) /\ (r T_2))))) /\ (q (f T_2))))) (p (f T_2)) (-. (r T_2)) (q (f T_2)) ### NotExists 26
% 0.18/0.41 28. (-. (Ex X, (Ex Y, (((p (f Y)) => ((p X) /\ ((r Y) => ((r T_1) /\ (r T_2))))) /\ (q X))))) (q (f T_2)) (-. (r T_2)) (p (f T_2)) ### NotExists 27
% 0.18/0.41 29. (All Z, (q (f Z))) (p (f T_2)) (-. (r T_2)) (-. (Ex X, (Ex Y, (((p (f Y)) => ((p X) /\ ((r Y) => ((r T_1) /\ (r T_2))))) /\ (q X))))) ### All 28
% 0.18/0.41 30. (-. ((p (f T_2)) => ((p (f zenon_X0)) /\ ((r T_2) => ((r T_1) /\ (r T_2)))))) (-. (Ex X, (Ex Y, (((p (f Y)) => ((p X) /\ ((r Y) => ((r T_1) /\ (r T_2))))) /\ (q X))))) (-. (r T_2)) (All Z, (q (f Z))) ### NotImply 29
% 0.18/0.41 31. (q (f zenon_X0)) (-. (q (f zenon_X0))) ### Axiom
% 0.18/0.41 32. (-. (((p (f T_2)) => ((p (f zenon_X0)) /\ ((r T_2) => ((r T_1) /\ (r T_2))))) /\ (q (f zenon_X0)))) (q (f zenon_X0)) (All Z, (q (f Z))) (-. (r T_2)) (-. (Ex X, (Ex Y, (((p (f Y)) => ((p X) /\ ((r Y) => ((r T_1) /\ (r T_2))))) /\ (q X))))) ### NotAnd 30 31
% 0.18/0.41 33. (-. (Ex Y, (((p (f Y)) => ((p (f zenon_X0)) /\ ((r Y) => ((r T_1) /\ (r T_2))))) /\ (q (f zenon_X0))))) (-. (Ex X, (Ex Y, (((p (f Y)) => ((p X) /\ ((r Y) => ((r T_1) /\ (r T_2))))) /\ (q X))))) (-. (r T_2)) (All Z, (q (f Z))) (q (f zenon_X0)) ### NotExists 32
% 0.18/0.41 34. (-. ((r T_1) /\ (r T_2))) (q (f zenon_X0)) (All Z, (q (f Z))) (-. (Ex X, (Ex Y, (((p (f Y)) => ((p X) /\ ((r Y) => ((r T_1) /\ (r T_2))))) /\ (q X))))) (-. (Ex Y, (((p (f Y)) => ((p (f zenon_X0)) /\ ((r Y) => ((r T_1) /\ (r T_2))))) /\ (q (f zenon_X0))))) ### NotAnd 19 33
% 0.18/0.41 35. (-. ((r zenon_X3) => ((r T_1) /\ (r T_2)))) (-. (Ex Y, (((p (f Y)) => ((p (f zenon_X0)) /\ ((r Y) => ((r T_1) /\ (r T_2))))) /\ (q (f zenon_X0))))) (-. (Ex X, (Ex Y, (((p (f Y)) => ((p X) /\ ((r Y) => ((r T_1) /\ (r T_2))))) /\ (q X))))) (All Z, (q (f Z))) (q (f zenon_X0)) ### NotImply 34
% 0.18/0.41 36. (-. ((p (f zenon_X0)) /\ ((r zenon_X3) => ((r T_1) /\ (r T_2))))) (All Z, (q (f Z))) (-. (Ex X, (Ex Y, (((p (f Y)) => ((p X) /\ ((r Y) => ((r T_1) /\ (r T_2))))) /\ (q X))))) (q (f zenon_X0)) (-. (Ex Y, (((p (f Y)) => ((p (f zenon_X0)) /\ ((r Y) => ((r T_1) /\ (r T_2))))) /\ (q (f zenon_X0))))) ### NotAnd 5 35
% 0.18/0.41 37. (-. ((p (f zenon_X3)) => ((p (f zenon_X0)) /\ ((r zenon_X3) => ((r T_1) /\ (r T_2)))))) (-. (Ex Y, (((p (f Y)) => ((p (f zenon_X0)) /\ ((r Y) => ((r T_1) /\ (r T_2))))) /\ (q (f zenon_X0))))) (q (f zenon_X0)) (-. (Ex X, (Ex Y, (((p (f Y)) => ((p X) /\ ((r Y) => ((r T_1) /\ (r T_2))))) /\ (q X))))) (All Z, (q (f Z))) ### NotImply 36
% 0.18/0.41 38. (q (f zenon_X0)) (-. (q (f zenon_X0))) ### Axiom
% 0.18/0.41 39. (-. (((p (f zenon_X3)) => ((p (f zenon_X0)) /\ ((r zenon_X3) => ((r T_1) /\ (r T_2))))) /\ (q (f zenon_X0)))) (All Z, (q (f Z))) (-. (Ex X, (Ex Y, (((p (f Y)) => ((p X) /\ ((r Y) => ((r T_1) /\ (r T_2))))) /\ (q X))))) (q (f zenon_X0)) (-. (Ex Y, (((p (f Y)) => ((p (f zenon_X0)) /\ ((r Y) => ((r T_1) /\ (r T_2))))) /\ (q (f zenon_X0))))) ### NotAnd 37 38
% 0.18/0.41 40. (-. (Ex Y, (((p (f Y)) => ((p (f zenon_X0)) /\ ((r Y) => ((r T_1) /\ (r T_2))))) /\ (q (f zenon_X0))))) (q (f zenon_X0)) (-. (Ex X, (Ex Y, (((p (f Y)) => ((p X) /\ ((r Y) => ((r T_1) /\ (r T_2))))) /\ (q X))))) (All Z, (q (f Z))) ### NotExists 39
% 0.18/0.41 41. (All Z, (q (f Z))) (-. (Ex X, (Ex Y, (((p (f Y)) => ((p X) /\ ((r Y) => ((r T_1) /\ (r T_2))))) /\ (q X))))) (q (f zenon_X0)) ### NotExists 40
% 0.18/0.41 42. (-. (Ex X, (Ex Y, (((p (f Y)) => ((p X) /\ ((r Y) => ((r T_1) /\ (r T_2))))) /\ (q X))))) (All Z, (q (f Z))) ### All 41
% 0.18/0.41 43. (-. ((All Z, (q (f Z))) => (Ex X, (Ex Y, (((p (f Y)) => ((p X) /\ ((r Y) => ((r T_1) /\ (r T_2))))) /\ (q X)))))) ### NotImply 42
% 0.18/0.41 44. (-. (All C, ((All Z, (q (f Z))) => (Ex X, (Ex Y, (((p (f Y)) => ((p X) /\ ((r Y) => ((r T_1) /\ (r C))))) /\ (q X))))))) ### NotAllEx 43
% 0.18/0.41 45. (-. (All B, (All C, ((All Z, (q (f Z))) => (Ex X, (Ex Y, (((p (f Y)) => ((p X) /\ ((r Y) => ((r B) /\ (r C))))) /\ (q X)))))))) ### NotAllEx 44
% 0.18/0.41 % SZS output end Proof
% 0.18/0.41 (* END-PROOF *)
%------------------------------------------------------------------------------