TSTP Solution File: SYN374+1 by SuperZenon---0.0.1
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- Process Solution
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% File : SuperZenon---0.0.1
% Problem : SYN374+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 : n023.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 12:43:05 EDT 2022
% Result : Theorem 0.12s 0.39s
% Output : Proof 0.12s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SYN374+1 : TPTP v8.1.0. Released v2.0.0.
% 0.10/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.12/0.33 % Computer : n023.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 : Mon Jul 11 16:48:39 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.39 % SZS status Theorem
% 0.12/0.39 (* PROOF-FOUND *)
% 0.12/0.39 (* BEGIN-PROOF *)
% 0.12/0.39 % SZS output start Proof
% 0.12/0.39 1. (big_p T_0) (-. (big_p T_0)) ### Axiom
% 0.12/0.39 2. (-. (Ex X, (big_p X))) (big_p T_0) ### NotExists 1
% 0.12/0.39 3. (-. (big_p T_1)) (big_p T_1) ### Axiom
% 0.12/0.39 4. (-. ((big_p T_1) <=> (big_p T_0))) (-. (big_p T_1)) (-. (Ex X, (big_p X))) ### NotEquiv 2 3
% 0.12/0.39 5. (-. (All Y, ((big_p T_1) <=> (big_p Y)))) (-. (Ex X, (big_p X))) (-. (big_p T_1)) ### NotAllEx 4
% 0.12/0.39 6. (-. (Ex X, (All Y, ((big_p X) <=> (big_p Y))))) (-. (big_p T_1)) (-. (Ex X, (big_p X))) ### NotExists 5
% 0.12/0.39 7. (-. (All Y, (big_p Y))) (-. (Ex X, (big_p X))) (-. (Ex X, (All Y, ((big_p X) <=> (big_p Y))))) ### NotAllEx 6
% 0.12/0.39 8. (big_p T_2) (-. (big_p T_2)) ### Axiom
% 0.12/0.39 9. (-. (big_p T_3)) (big_p T_3) ### Axiom
% 0.12/0.39 10. (All Y, (big_p Y)) (-. (big_p T_3)) ### All 9
% 0.12/0.39 11. (-. ((big_p T_2) <=> (big_p T_3))) (All Y, (big_p Y)) (big_p T_2) ### NotEquiv 8 10
% 0.12/0.39 12. (-. (All Y, ((big_p T_2) <=> (big_p Y)))) (big_p T_2) (All Y, (big_p Y)) ### NotAllEx 11
% 0.12/0.39 13. (-. (Ex X, (All Y, ((big_p X) <=> (big_p Y))))) (All Y, (big_p Y)) (big_p T_2) ### NotExists 12
% 0.12/0.39 14. (Ex X, (big_p X)) (All Y, (big_p Y)) (-. (Ex X, (All Y, ((big_p X) <=> (big_p Y))))) ### Exists 13
% 0.12/0.39 15. ((Ex X, (big_p X)) <=> (All Y, (big_p Y))) (-. (Ex X, (All Y, ((big_p X) <=> (big_p Y))))) ### Equiv 7 14
% 0.12/0.39 16. (-. (big_p T_4)) (big_p T_4) ### Axiom
% 0.12/0.39 17. (All Y, (big_p Y)) (-. (big_p T_4)) ### All 16
% 0.12/0.39 18. (big_p T_4) (-. (big_p T_4)) ### Axiom
% 0.12/0.39 19. (-. (Ex X, (big_p X))) (big_p T_4) ### NotExists 18
% 0.12/0.39 20. ((big_p T_4) <=> (big_p zenon_X5)) (-. (Ex X, (big_p X))) (All Y, (big_p Y)) ### Equiv 17 19
% 0.12/0.39 21. (All Y, ((big_p T_4) <=> (big_p Y))) (All Y, (big_p Y)) (-. (Ex X, (big_p X))) ### All 20
% 0.12/0.39 22. (big_p T_2) (-. (big_p T_2)) ### Axiom
% 0.12/0.39 23. (-. (big_p T_4)) (big_p T_4) ### Axiom
% 0.12/0.39 24. ((big_p T_4) <=> (big_p T_2)) (-. (big_p T_4)) (big_p T_2) ### Equiv 22 23
% 0.12/0.39 25. (All Y, ((big_p T_4) <=> (big_p Y))) (big_p T_2) (-. (big_p T_4)) ### All 24
% 0.12/0.39 26. (big_p T_4) (-. (big_p T_4)) ### Axiom
% 0.12/0.39 27. (-. (big_p T_1)) (big_p T_1) ### Axiom
% 0.12/0.39 28. ((big_p T_4) <=> (big_p T_1)) (-. (big_p T_1)) (big_p T_4) ### Equiv 26 27
% 0.12/0.39 29. (All Y, ((big_p T_4) <=> (big_p Y))) (big_p T_4) (-. (big_p T_1)) ### All 28
% 0.12/0.39 30. ((big_p T_4) <=> (big_p zenon_X5)) (-. (big_p T_1)) (big_p T_2) (All Y, ((big_p T_4) <=> (big_p Y))) ### Equiv 25 29
% 0.12/0.39 31. (All Y, ((big_p T_4) <=> (big_p Y))) (big_p T_2) (-. (big_p T_1)) ### All 30
% 0.12/0.39 32. (-. (All Y, (big_p Y))) (big_p T_2) (All Y, ((big_p T_4) <=> (big_p Y))) ### NotAllEx 31
% 0.12/0.39 33. (Ex X, (big_p X)) (All Y, ((big_p T_4) <=> (big_p Y))) (-. (All Y, (big_p Y))) ### Exists 32
% 0.12/0.39 34. (-. ((Ex X, (big_p X)) <=> (All Y, (big_p Y)))) (All Y, ((big_p T_4) <=> (big_p Y))) ### NotEquiv 21 33
% 0.12/0.39 35. (Ex X, (All Y, ((big_p X) <=> (big_p Y)))) (-. ((Ex X, (big_p X)) <=> (All Y, (big_p Y)))) ### Exists 34
% 0.12/0.39 36. (-. ((Ex X, (All Y, ((big_p X) <=> (big_p Y)))) <=> ((Ex X, (big_p X)) <=> (All Y, (big_p Y))))) ### NotEquiv 15 35
% 0.12/0.39 % SZS output end Proof
% 0.12/0.39 (* END-PROOF *)
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