TSTP Solution File: SYN920+1 by SuperZenon---0.0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : SYN920+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 : n009.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 :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN920+1 : TPTP v8.1.0. Released v3.1.0.
% 0.11/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.13/0.34 % Computer : n009.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 21:36:07 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 T_0) (-. (f T_0)) ### Axiom
% 0.13/0.40 2. (g T_0) (-. (g T_0)) ### Axiom
% 0.13/0.40 3. (-. (h T_0)) (h T_0) ### Axiom
% 0.13/0.40 4. (-. ((f T_0) /\ ((g T_0) /\ (-. (h T_0))))) (-. (h T_0)) (g T_0) (f T_0) ### DisjTree 1 2 3
% 0.13/0.40 5. (-. (Ex V, ((f V) /\ ((g V) /\ (-. (h V)))))) (f T_0) (g T_0) (-. (h T_0)) ### NotExists 4
% 0.13/0.40 6. (-. (((f T_0) /\ (g T_0)) => (h T_0))) (-. (Ex V, ((f V) /\ ((g V) /\ (-. (h V)))))) ### ConjTree 5
% 0.13/0.40 7. (-. (All X, (((f X) /\ (g X)) => (h X)))) (-. (Ex V, ((f V) /\ ((g V) /\ (-. (h V)))))) ### NotAllEx 6
% 0.13/0.40 8. (f T_1) (-. (f T_1)) ### Axiom
% 0.13/0.40 9. (-. (g T_1)) (g T_1) ### Axiom
% 0.13/0.40 10. ((f T_1) => (g T_1)) (-. (g T_1)) (f T_1) ### Imply 8 9
% 0.13/0.40 11. (All W, ((f W) => (g W))) (f T_1) (-. (g T_1)) ### All 10
% 0.13/0.40 12. (f T_1) (-. (f T_1)) ### Axiom
% 0.13/0.40 13. (f T_1) (-. (f T_1)) ### Axiom
% 0.13/0.40 14. (-. (h T_1)) (h T_1) ### Axiom
% 0.13/0.40 15. ((f T_1) => (h T_1)) (-. (h T_1)) (f T_1) ### Imply 13 14
% 0.13/0.40 16. (All Z, ((f Z) => (h Z))) (f T_1) (-. (h T_1)) ### All 15
% 0.13/0.40 17. (-. (g T_1)) (g T_1) ### Axiom
% 0.13/0.40 18. (((f T_1) /\ (h T_1)) => (g T_1)) (-. (g T_1)) (All Z, ((f Z) => (h Z))) (f T_1) ### DisjTree 12 16 17
% 0.13/0.40 19. (All R, (((f R) /\ (h R)) => (g R))) (f T_1) (All Z, ((f Z) => (h Z))) (-. (g T_1)) ### All 18
% 0.13/0.40 20. ((All W, ((f W) => (g W))) \/ (All Z, ((f Z) => (h Z)))) (All R, (((f R) /\ (h R)) => (g R))) (-. (g T_1)) (f T_1) ### Or 11 19
% 0.13/0.40 21. ((f T_1) /\ (-. (g T_1))) (All R, (((f R) /\ (h R)) => (g R))) ((All W, ((f W) => (g W))) \/ (All Z, ((f Z) => (h Z)))) ### And 20
% 0.13/0.40 22. (Ex X, ((f X) /\ (-. (g X)))) ((All W, ((f W) => (g W))) \/ (All Z, ((f Z) => (h Z)))) (All R, (((f R) /\ (h R)) => (g R))) ### Exists 21
% 0.13/0.40 23. ((All X, (((f X) /\ (g X)) => (h X))) => (Ex X, ((f X) /\ (-. (g X))))) (All R, (((f R) /\ (h R)) => (g R))) ((All W, ((f W) => (g W))) \/ (All Z, ((f Z) => (h Z)))) (-. (Ex V, ((f V) /\ ((g V) /\ (-. (h V)))))) ### Imply 7 22
% 0.13/0.40 24. (-. ((((All X, (((f X) /\ (g X)) => (h X))) => (Ex X, ((f X) /\ (-. (g X))))) /\ ((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 23
% 0.13/0.40 % SZS output end Proof
% 0.13/0.40 (* END-PROOF *)
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