TSTP Solution File: SEV515+1 by SuperZenon---0.0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SuperZenon---0.0.1
% Problem  : SEV515+1 : TPTP v8.1.0. Released v7.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_super_zenon -p0 -itptp -om -max-time %d %s

% Computer : n016.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 : Tue Jul 19 18:18:55 EDT 2022

% Result   : Theorem 0.15s 0.38s
% Output   : Proof 0.15s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10  % Problem  : SEV515+1 : TPTP v8.1.0. Released v7.0.0.
% 0.03/0.11  % Command  : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.10/0.30  % Computer : n016.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit : 300
% 0.10/0.30  % WCLimit  : 600
% 0.10/0.30  % DateTime : Tue Jun 28 12:33:07 EDT 2022
% 0.10/0.30  % CPUTime  : 
% 0.15/0.38  % SZS status Theorem
% 0.15/0.38  (* PROOF-FOUND *)
% 0.15/0.38  (* BEGIN-PROOF *)
% 0.15/0.38  % SZS output start Proof
% 0.15/0.38  1. (-. (g_true T_0 T_0)) (g_true T_0 T_0)   ### Axiom
% 0.15/0.38  2. (g_true_only T_0 T_0) (-. (g_true T_0 T_0))   ### Extension/test/true_only_g 1
% 0.15/0.38  3. (-. (g_true T_0 T_0)) (g_true T_0 T_0)   ### Axiom
% 0.15/0.38  4. (g_both T_0 T_0) (-. (g_true T_0 T_0))   ### Extension/test/both_g 3
% 0.15/0.38  5. (-. (g_false T_0 T_0)) (g_false T_0 T_0)   ### Axiom
% 0.15/0.38  6. (g_false_only T_0 T_0) (-. (g_false T_0 T_0))   ### Extension/test/false_only_g 5
% 0.15/0.38  7. ((g_true_only T_0 T_0) \/ ((g_both T_0 T_0) \/ (g_false_only T_0 T_0))) (-. (g_false T_0 T_0)) (-. (g_true T_0 T_0))   ### DisjTree 2 4 6
% 0.15/0.38  8. (All X_1, ((g_true_only T_0 X_1) \/ ((g_both T_0 X_1) \/ (g_false_only T_0 X_1)))) (-. (g_true T_0 T_0)) (-. (g_false T_0 T_0))   ### All 7
% 0.15/0.38  9. (All X_2, (All X_1, ((g_true_only X_2 X_1) \/ ((g_both X_2 X_1) \/ (g_false_only X_2 X_1))))) (-. (g_false T_0 T_0)) (-. (g_true T_0 T_0))   ### All 8
% 0.15/0.38  10. (-. (g_true T_0 T_0)) (g_true T_0 T_0)   ### Axiom
% 0.15/0.38  11. (-. (g_false_only T_0 T_0)) (-. (g_true T_0 T_0)) (All X_2, (All X_1, ((g_true_only X_2 X_1) \/ ((g_both X_2 X_1) \/ (g_false_only X_2 X_1)))))   ### Extension/test/not_false_only_g 9 10
% 0.15/0.38  12. (-. ((g_false_only T_0 T_0) \/ (g_both T_0 T_0))) (All X_2, (All X_1, ((g_true_only X_2 X_1) \/ ((g_both X_2 X_1) \/ (g_false_only X_2 X_1))))) (-. (g_true T_0 T_0))   ### NotOr 11
% 0.15/0.38  13. (-. ((g_false_only T_0 T_0) /\ ((g_false_only T_0 T_0) \/ (g_both T_0 T_0)))) (All X_2, (All X_1, ((g_true_only X_2 X_1) \/ ((g_both X_2 X_1) \/ (g_false_only X_2 X_1))))) (-. (g_true T_0 T_0))   ### NotAnd 11 12
% 0.15/0.38  14. (-. (g_false T_0 T_0)) (g_false T_0 T_0)   ### Axiom
% 0.15/0.38  15. (-. (g_true_only T_0 T_0)) (-. (g_false T_0 T_0)) (All X_2, (All X_1, ((g_true_only X_2 X_1) \/ ((g_both X_2 X_1) \/ (g_false_only X_2 X_1)))))   ### Extension/test/not_true_only_g 9 14
% 0.15/0.38  16. (-. (g_both T_0 T_0)) (-. (g_true_only T_0 T_0)) (All X_2, (All X_1, ((g_true_only X_2 X_1) \/ ((g_both X_2 X_1) \/ (g_false_only X_2 X_1))))) (-. ((g_false_only T_0 T_0) /\ ((g_false_only T_0 T_0) \/ (g_both T_0 T_0))))   ### Extension/test/not_both_g 13 15
% 0.15/0.38  17. (-. ((g_both T_0 T_0) /\ (g_both T_0 T_0))) (-. ((g_false_only T_0 T_0) /\ ((g_false_only T_0 T_0) \/ (g_both T_0 T_0)))) (All X_2, (All X_1, ((g_true_only X_2 X_1) \/ ((g_both X_2 X_1) \/ (g_false_only X_2 X_1))))) (-. (g_true_only T_0 T_0))   ### NotAnd 16 16
% 0.15/0.38  18. (-. (Ex B, ((g_both B T_0) /\ (g_both B B)))) (-. (g_true_only T_0 T_0)) (All X_2, (All X_1, ((g_true_only X_2 X_1) \/ ((g_both X_2 X_1) \/ (g_false_only X_2 X_1))))) (-. ((g_false_only T_0 T_0) /\ ((g_false_only T_0 T_0) \/ (g_both T_0 T_0))))   ### NotExists 17
% 0.15/0.38  19. (-. ((g_both T_0 T_0) \/ (g_true_only T_0 T_0))) (-. ((g_false_only T_0 T_0) /\ ((g_false_only T_0 T_0) \/ (g_both T_0 T_0)))) (All X_2, (All X_1, ((g_true_only X_2 X_1) \/ ((g_both X_2 X_1) \/ (g_false_only X_2 X_1)))))   ### NotOr 16
% 0.15/0.38  20. (-. ((g_true_only T_0 T_0) /\ ((g_both T_0 T_0) \/ (g_true_only T_0 T_0)))) (-. ((g_false_only T_0 T_0) /\ ((g_false_only T_0 T_0) \/ (g_both T_0 T_0)))) (All X_2, (All X_1, ((g_true_only X_2 X_1) \/ ((g_both X_2 X_1) \/ (g_false_only X_2 X_1))))) (-. (Ex B, ((g_both B T_0) /\ (g_both B B))))   ### NotAnd 18 19
% 0.15/0.38  21. (-. (((g_true_only T_0 T_0) /\ ((g_both T_0 T_0) \/ (g_true_only T_0 T_0))) \/ (((g_both T_0 T_0) /\ ((g_false_only T_0 T_0) \/ (g_true_only T_0 T_0))) \/ ((g_false_only T_0 T_0) /\ ((g_false_only T_0 T_0) \/ (g_both T_0 T_0)))))) (-. (Ex B, ((g_both B T_0) /\ (g_both B B)))) (All X_2, (All X_1, ((g_true_only X_2 X_1) \/ ((g_both X_2 X_1) \/ (g_false_only X_2 X_1)))))   ### ConjTree 20
% 0.15/0.38  22. (-. (Ex B, (((g_true_only B T_0) /\ ((g_both B B) \/ (g_true_only B B))) \/ (((g_both B T_0) /\ ((g_false_only B B) \/ (g_true_only B B))) \/ ((g_false_only B T_0) /\ ((g_false_only B B) \/ (g_both B B))))))) (All X_2, (All X_1, ((g_true_only X_2 X_1) \/ ((g_both X_2 X_1) \/ (g_false_only X_2 X_1))))) (-. (Ex B, ((g_both B T_0) /\ (g_both B B))))   ### NotExists 21
% 0.15/0.38  23. (-. (Ex B, (((g_true_only B T_0) /\ ((g_both B B) \/ (g_true_only B B))) \/ (((g_both B T_0) /\ ((g_false_only B B) \/ (g_true_only B B))) \/ ((g_false_only B T_0) /\ ((g_false_only B B) \/ (g_both B B))))))) (Ex B, (((g_true_only B T_0) /\ ((g_both B B) \/ (g_true_only B B))) \/ (((g_both B T_0) /\ ((g_false_only B B) \/ (g_true_only B B))) \/ ((g_false_only B T_0) /\ ((g_false_only B B) \/ (g_both B B))))))   ### Axiom
% 0.15/0.38  24. (-. (-. (Ex B, (((g_true_only B T_0) /\ ((g_both B B) \/ (g_true_only B B))) \/ (((g_both B T_0) /\ ((g_false_only B B) \/ (g_true_only B B))) \/ ((g_false_only B T_0) /\ ((g_false_only B B) \/ (g_both B B)))))))) (-. (Ex B, (((g_true_only B T_0) /\ ((g_both B B) \/ (g_true_only B B))) \/ (((g_both B T_0) /\ ((g_false_only B B) \/ (g_true_only B B))) \/ ((g_false_only B T_0) /\ ((g_false_only B B) \/ (g_both B B)))))))   ### NotNot 23
% 0.15/0.38  25. (-. ((Ex B, ((g_both B T_0) /\ (g_both B B))) /\ (-. (Ex B, (((g_true_only B T_0) /\ ((g_both B B) \/ (g_true_only B B))) \/ (((g_both B T_0) /\ ((g_false_only B B) \/ (g_true_only B B))) \/ ((g_false_only B T_0) /\ ((g_false_only B B) \/ (g_both B B))))))))) (All X_2, (All X_1, ((g_true_only X_2 X_1) \/ ((g_both X_2 X_1) \/ (g_false_only X_2 X_1))))) (-. (Ex B, (((g_true_only B T_0) /\ ((g_both B B) \/ (g_true_only B B))) \/ (((g_both B T_0) /\ ((g_false_only B B) \/ (g_true_only B B))) \/ ((g_false_only B T_0) /\ ((g_false_only B B) \/ (g_both B B)))))))   ### NotAnd 22 24
% 0.15/0.38  26. (-. (Ex A, ((Ex B, ((g_both B A) /\ (g_both B B))) /\ (-. (Ex B, (((g_true_only B A) /\ ((g_both B B) \/ (g_true_only B B))) \/ (((g_both B A) /\ ((g_false_only B B) \/ (g_true_only B B))) \/ ((g_false_only B A) /\ ((g_false_only B B) \/ (g_both B B)))))))))) (-. (Ex B, (((g_true_only B T_0) /\ ((g_both B B) \/ (g_true_only B B))) \/ (((g_both B T_0) /\ ((g_false_only B B) \/ (g_true_only B B))) \/ ((g_false_only B T_0) /\ ((g_false_only B B) \/ (g_both B B))))))) (All X_2, (All X_1, ((g_true_only X_2 X_1) \/ ((g_both X_2 X_1) \/ (g_false_only X_2 X_1)))))   ### NotExists 25
% 0.15/0.38  27. (g_false T_1 T_1) (-. (g_false T_1 T_1))   ### Axiom
% 0.15/0.38  28. (g_true_only T_1 T_1) (g_false T_1 T_1)   ### Extension/test/true_only_g 27
% 0.15/0.38  29. (g_false_only T_1 T_1) (g_true_only T_1 T_1)   ### Extension/test/false_only_g 28
% 0.15/0.38  30. ((g_true_only T_1 T_1) /\ (g_false_only T_1 T_1))   ### And 29
% 0.15/0.38  31. ((g_false_only T_1 T_1) /\ (g_true_only T_1 T_1))   ### And 29
% 0.15/0.38  32. (((g_true_only T_1 T_1) /\ (g_false_only T_1 T_1)) \/ ((g_false_only T_1 T_1) /\ (g_true_only T_1 T_1)))   ### Or 30 31
% 0.15/0.38  33. (All B, (((g_true_only B T_1) /\ (g_false_only B B)) \/ ((g_false_only B T_1) /\ (g_true_only B B))))   ### All 32
% 0.15/0.38  34. (Ex A, (All B, (((g_true_only B A) /\ (g_false_only B B)) \/ ((g_false_only B A) /\ (g_true_only B B)))))   ### Exists 33
% 0.15/0.38  35. (-. (-. (Ex A, (All B, (((g_true_only B A) /\ (g_false_only B B)) \/ ((g_false_only B A) /\ (g_true_only B B)))))))   ### NotNot 34
% 0.15/0.38  36. (-. ((Ex A, ((Ex B, ((g_both B A) /\ (g_both B B))) /\ (-. (Ex B, (((g_true_only B A) /\ ((g_both B B) \/ (g_true_only B B))) \/ (((g_both B A) /\ ((g_false_only B B) \/ (g_true_only B B))) \/ ((g_false_only B A) /\ ((g_false_only B B) \/ (g_both B B))))))))) /\ (-. (Ex A, (All B, (((g_true_only B A) /\ (g_false_only B B)) \/ ((g_false_only B A) /\ (g_true_only B B)))))))) (All X_2, (All X_1, ((g_true_only X_2 X_1) \/ ((g_both X_2 X_1) \/ (g_false_only X_2 X_1))))) (-. (Ex B, (((g_true_only B T_0) /\ ((g_both B B) \/ (g_true_only B B))) \/ (((g_both B T_0) /\ ((g_false_only B B) \/ (g_true_only B B))) \/ ((g_false_only B T_0) /\ ((g_false_only B B) \/ (g_both B B)))))))   ### NotAnd 26 35
% 0.15/0.38  37. (-. (All A, (Ex B, (((g_true_only B A) /\ ((g_both B B) \/ (g_true_only B B))) \/ (((g_both B A) /\ ((g_false_only B B) \/ (g_true_only B B))) \/ ((g_false_only B A) /\ ((g_false_only B B) \/ (g_both B B)))))))) (All X_2, (All X_1, ((g_true_only X_2 X_1) \/ ((g_both X_2 X_1) \/ (g_false_only X_2 X_1))))) (-. ((Ex A, ((Ex B, ((g_both B A) /\ (g_both B B))) /\ (-. (Ex B, (((g_true_only B A) /\ ((g_both B B) \/ (g_true_only B B))) \/ (((g_both B A) /\ ((g_false_only B B) \/ (g_true_only B B))) \/ ((g_false_only B A) /\ ((g_false_only B B) \/ (g_both B B))))))))) /\ (-. (Ex A, (All B, (((g_true_only B A) /\ (g_false_only B B)) \/ ((g_false_only B A) /\ (g_true_only B B))))))))   ### NotAllEx 36
% 0.15/0.38  38. (-. ((All A, (Ex B, (((g_true_only B A) /\ ((g_both B B) \/ (g_true_only B B))) \/ (((g_both B A) /\ ((g_false_only B B) \/ (g_true_only B B))) \/ ((g_false_only B A) /\ ((g_false_only B B) \/ (g_both B B))))))) \/ ((Ex A, ((Ex B, ((g_both B A) /\ (g_both B B))) /\ (-. (Ex B, (((g_true_only B A) /\ ((g_both B B) \/ (g_true_only B B))) \/ (((g_both B A) /\ ((g_false_only B B) \/ (g_true_only B B))) \/ ((g_false_only B A) /\ ((g_false_only B B) \/ (g_both B B))))))))) /\ (-. (Ex A, (All B, (((g_true_only B A) /\ (g_false_only B B)) \/ ((g_false_only B A) /\ (g_true_only B B))))))))) (All X_2, (All X_1, ((g_true_only X_2 X_1) \/ ((g_both X_2 X_1) \/ (g_false_only X_2 X_1)))))   ### NotOr 37
% 0.15/0.38  % SZS output end Proof
% 0.15/0.38  (* END-PROOF *)
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