TSTP Solution File: NUM405+1 by SuperZenon---0.0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : NUM405+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% Computer : n026.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 : Mon Jul 18 14:42:11 EDT 2022
% Result : Theorem 0.19s 0.47s
% 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
% 0.07/0.12 % Problem : NUM405+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.12/0.34 % Computer : n026.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 : Wed Jul 6 12:43:38 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.47 % SZS status Theorem
% 0.19/0.47 (* PROOF-FOUND *)
% 0.19/0.47 (* BEGIN-PROOF *)
% 0.19/0.47 % SZS output start Proof
% 0.19/0.47 1. (ordinal T_0) (-. (ordinal T_0)) ### Axiom
% 0.19/0.47 2. (-. (in T_0 T_1)) (in T_0 T_1) ### Axiom
% 0.19/0.47 3. ((ordinal T_0) => (in T_0 T_1)) (-. (in T_0 T_1)) (ordinal T_0) ### Imply 1 2
% 0.19/0.47 4. (All B, ((ordinal B) => (in B T_1))) (ordinal T_0) (-. (in T_0 T_1)) ### All 3
% 0.19/0.47 5. (ordinal T_0) (-. (ordinal T_0)) ### Axiom
% 0.19/0.47 6. (-. ((in T_0 T_1) /\ (ordinal T_0))) (ordinal T_0) (All B, ((ordinal B) => (in B T_1))) ### NotAnd 4 5
% 0.19/0.47 7. (-. (in T_0 T_2)) (in T_0 T_2) ### Axiom
% 0.19/0.47 8. ((in T_0 T_2) <=> ((in T_0 T_1) /\ (ordinal T_0))) (-. (in T_0 T_2)) (All B, ((ordinal B) => (in B T_1))) (ordinal T_0) ### Equiv 6 7
% 0.19/0.47 9. (All C, ((in C T_2) <=> ((in C T_1) /\ (ordinal C)))) (ordinal T_0) (All B, ((ordinal B) => (in B T_1))) (-. (in T_0 T_2)) ### All 8
% 0.19/0.47 10. (in T_0 T_2) (-. (in T_0 T_2)) ### Axiom
% 0.19/0.47 11. (-. (epsilon_transitive T_0)) (epsilon_transitive T_0) ### Axiom
% 0.19/0.47 12. (ordinal T_0) (-. (epsilon_transitive T_0)) ### Extension/test/cc1_ordinal1 11
% 0.19/0.47 13. ((in T_0 T_1) /\ (ordinal T_0)) (-. (epsilon_transitive T_0)) ### And 12
% 0.19/0.47 14. ((in T_0 T_2) <=> ((in T_0 T_1) /\ (ordinal T_0))) (-. (epsilon_transitive T_0)) (in T_0 T_2) ### Equiv 10 13
% 0.19/0.47 15. (All C, ((in C T_2) <=> ((in C T_1) /\ (ordinal C)))) (in T_0 T_2) (-. (epsilon_transitive T_0)) ### All 14
% 0.19/0.47 16. (in T_0 T_2) (-. (in T_0 T_2)) ### Axiom
% 0.19/0.47 17. (-. (epsilon_connected T_0)) (epsilon_connected T_0) ### Axiom
% 0.19/0.47 18. (ordinal T_0) (-. (epsilon_connected T_0)) ### Extension/test/cc1_ordinal1 17
% 0.19/0.47 19. ((in T_0 T_1) /\ (ordinal T_0)) (-. (epsilon_connected T_0)) ### And 18
% 0.19/0.47 20. ((in T_0 T_2) <=> ((in T_0 T_1) /\ (ordinal T_0))) (-. (epsilon_connected T_0)) (in T_0 T_2) ### Equiv 16 19
% 0.19/0.47 21. (All C, ((in C T_2) <=> ((in C T_1) /\ (ordinal C)))) (in T_0 T_2) (-. (epsilon_connected T_0)) ### All 20
% 0.19/0.47 22. (-. (ordinal T_0)) (in T_0 T_2) (All C, ((in C T_2) <=> ((in C T_1) /\ (ordinal C)))) ### Extension/test/cc2_ordinal1ctrp 15 21
% 0.19/0.47 23. (-. ((in T_0 T_2) <=> (ordinal T_0))) (All B, ((ordinal B) => (in B T_1))) (All C, ((in C T_2) <=> ((in C T_1) /\ (ordinal C)))) ### NotEquiv 9 22
% 0.19/0.47 24. (-. (All B, ((in B T_2) <=> (ordinal B)))) (All C, ((in C T_2) <=> ((in C T_1) /\ (ordinal C)))) (All B, ((ordinal B) => (in B T_1))) ### NotAllEx 23
% 0.19/0.47 25. (All A, (-. (All B, ((in B A) <=> (ordinal B))))) (All B, ((ordinal B) => (in B T_1))) (All C, ((in C T_2) <=> ((in C T_1) /\ (ordinal C)))) ### All 24
% 0.19/0.47 26. (Ex B, (All C, ((in C B) <=> ((in C T_1) /\ (ordinal C))))) (All B, ((ordinal B) => (in B T_1))) (All A, (-. (All B, ((in B A) <=> (ordinal B))))) ### Exists 25
% 0.19/0.47 27. (All A, (Ex B, (All C, ((in C B) <=> ((in C A) /\ (ordinal C)))))) (All A, (-. (All B, ((in B A) <=> (ordinal B))))) (All B, ((ordinal B) => (in B T_1))) ### All 26
% 0.19/0.47 28. (-. (-. (All B, ((ordinal B) => (in B T_1))))) (All A, (-. (All B, ((in B A) <=> (ordinal B))))) (All A, (Ex B, (All C, ((in C B) <=> ((in C A) /\ (ordinal C)))))) ### NotNot 27
% 0.19/0.47 29. (-. (All A, (-. (All B, ((ordinal B) => (in B A)))))) (All A, (Ex B, (All C, ((in C B) <=> ((in C A) /\ (ordinal C)))))) (All A, (-. (All B, ((in B A) <=> (ordinal B))))) ### NotAllEx 28
% 0.19/0.47 % SZS output end Proof
% 0.19/0.47 (* END-PROOF *)
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