TSTP Solution File: SYN415+1 by SuperZenon---0.0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : SYN415+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% Computer : n024.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 12:43:26 EDT 2022
% Result : Theorem 0.19s 0.41s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN415+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.12/0.34 % Computer : n024.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue Jul 12 04:23:58 EDT 2022
% 0.12/0.34 % 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. (f T_0) (-. (f T_0)) ### Axiom
% 0.19/0.41 2. (-. (Ex X, (f X))) (f T_0) ### NotExists 1
% 0.19/0.41 3. (f T_1) (-. (f T_1)) ### Axiom
% 0.19/0.41 4. (f T_2) (-. (f T_2)) ### Axiom
% 0.19/0.41 5. (T_2 != T_0) (T_0 = T_2) ### Sym(=)
% 0.19/0.41 6. ((f T_2) => (T_0 = T_2)) (T_2 != T_0) (f T_2) ### Imply 4 5
% 0.19/0.41 7. (All V, ((f V) => (T_0 = V))) (f T_2) (T_2 != T_0) ### All 6
% 0.19/0.41 8. (T_1 != T_1) ### Refl(=)
% 0.19/0.41 9. (T_1 != T_1) ### Refl(=)
% 0.19/0.41 10. (T_2 != T_1) (T_0 = T_1) (f T_2) (All V, ((f V) => (T_0 = V))) ### TransEq 7 8 9
% 0.19/0.41 11. ((f T_1) => (T_0 = T_1)) (All V, ((f V) => (T_0 = V))) (f T_2) (T_2 != T_1) (f T_1) ### Imply 3 10
% 0.19/0.41 12. (f T_1) (T_2 != T_1) (f T_2) (All V, ((f V) => (T_0 = V))) ### All 11
% 0.19/0.41 13. (-. (((f T_2) /\ (f T_1)) => (T_2 = T_1))) (All V, ((f V) => (T_0 = V))) ### ConjTree 12
% 0.19/0.41 14. (-. (All Z, (((f T_2) /\ (f Z)) => (T_2 = Z)))) (All V, ((f V) => (T_0 = V))) ### NotAllEx 13
% 0.19/0.41 15. (-. (All Y, (All Z, (((f Y) /\ (f Z)) => (Y = Z))))) (All V, ((f V) => (T_0 = V))) ### NotAllEx 14
% 0.19/0.41 16. (-. ((Ex X, (f X)) /\ (All Y, (All Z, (((f Y) /\ (f Z)) => (Y = Z)))))) (All V, ((f V) => (T_0 = V))) (f T_0) ### NotAnd 2 15
% 0.19/0.41 17. ((f T_0) /\ (All V, ((f V) => (T_0 = V)))) (-. ((Ex X, (f X)) /\ (All Y, (All Z, (((f Y) /\ (f Z)) => (Y = Z)))))) ### And 16
% 0.19/0.41 18. (Ex U, ((f U) /\ (All V, ((f V) => (U = V))))) (-. ((Ex X, (f X)) /\ (All Y, (All Z, (((f Y) /\ (f Z)) => (Y = Z)))))) ### Exists 17
% 0.19/0.41 19. (f T_3) (-. (f T_3)) ### Axiom
% 0.19/0.41 20. (f T_3) (-. (f T_3)) ### Axiom
% 0.19/0.41 21. (f T_4) (-. (f T_4)) ### Axiom
% 0.19/0.41 22. (T_3 != T_4) (T_3 = T_4) ### Axiom
% 0.19/0.41 23. (((f T_3) /\ (f T_4)) => (T_3 = T_4)) (T_3 != T_4) (f T_4) (f T_3) ### DisjTree 20 21 22
% 0.19/0.41 24. (All Z, (((f T_3) /\ (f Z)) => (T_3 = Z))) (f T_3) (f T_4) (T_3 != T_4) ### All 23
% 0.19/0.41 25. (-. ((f T_4) => (T_3 = T_4))) (f T_3) (All Z, (((f T_3) /\ (f Z)) => (T_3 = Z))) ### NotImply 24
% 0.19/0.41 26. (-. (All V, ((f V) => (T_3 = V)))) (All Z, (((f T_3) /\ (f Z)) => (T_3 = Z))) (f T_3) ### NotAllEx 25
% 0.19/0.41 27. (-. ((f T_3) /\ (All V, ((f V) => (T_3 = V))))) (All Z, (((f T_3) /\ (f Z)) => (T_3 = Z))) (f T_3) ### NotAnd 19 26
% 0.19/0.41 28. (-. (Ex U, ((f U) /\ (All V, ((f V) => (U = V)))))) (f T_3) (All Z, (((f T_3) /\ (f Z)) => (T_3 = Z))) ### NotExists 27
% 0.19/0.41 29. (All Y, (All Z, (((f Y) /\ (f Z)) => (Y = Z)))) (f T_3) (-. (Ex U, ((f U) /\ (All V, ((f V) => (U = V)))))) ### All 28
% 0.19/0.41 30. (Ex X, (f X)) (-. (Ex U, ((f U) /\ (All V, ((f V) => (U = V)))))) (All Y, (All Z, (((f Y) /\ (f Z)) => (Y = Z)))) ### Exists 29
% 0.19/0.41 31. ((Ex X, (f X)) /\ (All Y, (All Z, (((f Y) /\ (f Z)) => (Y = Z))))) (-. (Ex U, ((f U) /\ (All V, ((f V) => (U = V)))))) ### And 30
% 0.19/0.41 32. (-. (((Ex X, (f X)) /\ (All Y, (All Z, (((f Y) /\ (f Z)) => (Y = Z))))) <=> (Ex U, ((f U) /\ (All V, ((f V) => (U = V))))))) ### NotEquiv 18 31
% 0.19/0.41 % SZS output end Proof
% 0.19/0.41 (* END-PROOF *)
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