TSTP Solution File: SYN918+1 by SuperZenon---0.0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : SYN918+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 : n004.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 12:47:16 EDT 2022
% Result : Theorem 0.13s 0.40s
% Output : Proof 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN918+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.13/0.34 % Computer : n004.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jul 11 19:14:22 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.40 % SZS status Theorem
% 0.13/0.40 (* PROOF-FOUND *)
% 0.13/0.40 (* BEGIN-PROOF *)
% 0.13/0.40 % SZS output start Proof
% 0.13/0.40 1. (f zenon_X0) (-. (f zenon_X0)) ### Axiom
% 0.13/0.40 2. (g zenon_X0) (-. (g zenon_X0)) ### Axiom
% 0.13/0.40 3. (-. (h zenon_X0)) (h zenon_X0) ### Axiom
% 0.13/0.40 4. (-. ((f zenon_X0) /\ ((g zenon_X0) /\ (-. (h zenon_X0))))) (-. (h zenon_X0)) (g zenon_X0) (f zenon_X0) ### DisjTree 1 2 3
% 0.13/0.40 5. (-. (Ex V, ((f V) /\ ((g V) /\ (-. (h V)))))) (f zenon_X0) (g zenon_X0) (-. (h zenon_X0)) ### NotExists 4
% 0.13/0.40 6. (-. (((f zenon_X0) /\ (g zenon_X0)) => (h zenon_X0))) (-. (Ex V, ((f V) /\ ((g V) /\ (-. (h V)))))) ### ConjTree 5
% 0.13/0.40 7. (f T_1) (-. (f T_1)) ### Axiom
% 0.13/0.40 8. (-. (g T_1)) (g T_1) ### Axiom
% 0.13/0.40 9. ((f T_1) => (g T_1)) (-. (g T_1)) (f T_1) ### Imply 7 8
% 0.13/0.40 10. (All W, ((f W) => (g W))) (f T_1) (-. (g T_1)) ### All 9
% 0.13/0.40 11. ((f T_1) /\ (-. (g T_1))) (All W, ((f W) => (g W))) ### And 10
% 0.13/0.40 12. (Ex Y, ((f Y) /\ (-. (g Y)))) (All W, ((f W) => (g W))) ### Exists 11
% 0.13/0.40 13. ((((f zenon_X0) /\ (g zenon_X0)) => (h zenon_X0)) => (Ex Y, ((f Y) /\ (-. (g Y))))) (All W, ((f W) => (g W))) (-. (Ex V, ((f V) /\ ((g V) /\ (-. (h V)))))) ### Imply 6 12
% 0.13/0.40 14. (All X, ((((f X) /\ (g X)) => (h X)) => (Ex Y, ((f Y) /\ (-. (g Y)))))) (-. (Ex V, ((f V) /\ ((g V) /\ (-. (h V)))))) (All W, ((f W) => (g W))) ### All 13
% 0.13/0.40 15. (f zenon_X0) (-. (f zenon_X0)) ### Axiom
% 0.13/0.40 16. (-. (h zenon_X0)) (h zenon_X0) ### Axiom
% 0.13/0.40 17. ((f zenon_X0) => (h zenon_X0)) (-. (h zenon_X0)) (f zenon_X0) ### Imply 15 16
% 0.13/0.40 18. (All Z, ((f Z) => (h Z))) (f zenon_X0) (-. (h zenon_X0)) ### All 17
% 0.13/0.40 19. (-. (((f zenon_X0) /\ (g zenon_X0)) => (h zenon_X0))) (All Z, ((f Z) => (h Z))) ### ConjTree 18
% 0.13/0.40 20. (f T_1) (-. (f T_1)) ### Axiom
% 0.13/0.40 21. (f T_1) (-. (f T_1)) ### Axiom
% 0.13/0.40 22. (-. (h T_1)) (h T_1) ### Axiom
% 0.13/0.40 23. ((f T_1) => (h T_1)) (-. (h T_1)) (f T_1) ### Imply 21 22
% 0.13/0.40 24. (All Z, ((f Z) => (h Z))) (f T_1) (-. (h T_1)) ### All 23
% 0.13/0.40 25. (-. (g T_1)) (g T_1) ### Axiom
% 0.13/0.40 26. (((f T_1) /\ (h T_1)) => (g T_1)) (-. (g T_1)) (All Z, ((f Z) => (h Z))) (f T_1) ### DisjTree 20 24 25
% 0.13/0.40 27. (All R, (((f R) /\ (h R)) => (g R))) (f T_1) (All Z, ((f Z) => (h Z))) (-. (g T_1)) ### All 26
% 0.13/0.40 28. ((f T_1) /\ (-. (g T_1))) (All Z, ((f Z) => (h Z))) (All R, (((f R) /\ (h R)) => (g R))) ### And 27
% 0.13/0.40 29. (Ex Y, ((f Y) /\ (-. (g Y)))) (All R, (((f R) /\ (h R)) => (g R))) (All Z, ((f Z) => (h Z))) ### Exists 28
% 0.13/0.40 30. ((((f zenon_X0) /\ (g zenon_X0)) => (h zenon_X0)) => (Ex Y, ((f Y) /\ (-. (g Y))))) (All R, (((f R) /\ (h R)) => (g R))) (All Z, ((f Z) => (h Z))) ### Imply 19 29
% 0.13/0.40 31. (All X, ((((f X) /\ (g X)) => (h X)) => (Ex Y, ((f Y) /\ (-. (g Y)))))) (All Z, ((f Z) => (h Z))) (All R, (((f R) /\ (h R)) => (g R))) ### All 30
% 0.13/0.40 32. ((All W, ((f W) => (g W))) \/ (All Z, ((f Z) => (h Z)))) (All R, (((f R) /\ (h R)) => (g R))) (-. (Ex V, ((f V) /\ ((g V) /\ (-. (h V)))))) (All X, ((((f X) /\ (g X)) => (h X)) => (Ex Y, ((f Y) /\ (-. (g Y)))))) ### Or 14 31
% 0.13/0.40 33. (-. (((All X, ((((f X) /\ (g X)) => (h X)) => (Ex Y, ((f Y) /\ (-. (g Y)))))) /\ ((All W, ((f W) => (g W))) \/ (All Z, ((f Z) => (h Z))))) => ((All R, (((f R) /\ (h R)) => (g R))) => (Ex V, ((f V) /\ ((g V) /\ (-. (h V)))))))) ### ConjTree 32
% 0.13/0.40 % SZS output end Proof
% 0.13/0.40 (* END-PROOF *)
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