TSTP Solution File: SEU217+3 by SuperZenon---0.0.1
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- Process Solution
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% File : SuperZenon---0.0.1
% Problem : SEU217+3 : 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 : n025.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 14:49:19 EDT 2022
% Result : Theorem 2.63s 2.83s
% Output : Proof 2.63s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SEU217+3 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.12/0.32 % Computer : n025.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Sun Jun 19 20:51:29 EDT 2022
% 0.12/0.33 % CPUTime :
% 2.63/2.83 % SZS status Theorem
% 2.63/2.83 (* PROOF-FOUND *)
% 2.63/2.83 (* BEGIN-PROOF *)
% 2.63/2.83 % SZS output start Proof
% 2.63/2.83 1. (-. (relation (identity_relation T_0))) (relation (identity_relation T_0)) ### Axiom
% 2.63/2.83 2. ((relation (identity_relation T_0)) /\ (function (identity_relation T_0))) (-. (relation (identity_relation T_0))) ### And 1
% 2.63/2.83 3. (All A, ((relation (identity_relation A)) /\ (function (identity_relation A)))) (-. (relation (identity_relation T_0))) ### All 2
% 2.63/2.83 4. (-. (function (identity_relation T_0))) (function (identity_relation T_0)) ### Axiom
% 2.63/2.83 5. ((relation (identity_relation T_0)) /\ (function (identity_relation T_0))) (-. (function (identity_relation T_0))) ### And 4
% 2.63/2.83 6. (All A, ((relation (identity_relation A)) /\ (function (identity_relation A)))) (-. (function (identity_relation T_0))) ### All 5
% 2.63/2.83 7. ((identity_relation T_0) != (identity_relation T_0)) ### Refl(=)
% 2.63/2.83 8. (-. (All B, ((in B T_0) => ((apply (identity_relation T_0) B) = B)))) (All B, ((in B T_0) => ((apply (identity_relation T_0) B) = B))) ### Axiom
% 2.63/2.83 9. (((relation_dom (identity_relation T_0)) = T_0) /\ (All B, ((in B T_0) => ((apply (identity_relation T_0) B) = B)))) (-. (All B, ((in B T_0) => ((apply (identity_relation T_0) B) = B)))) ### And 8
% 2.63/2.83 10. (((identity_relation T_0) = (identity_relation T_0)) <=> (((relation_dom (identity_relation T_0)) = T_0) /\ (All B, ((in B T_0) => ((apply (identity_relation T_0) B) = B))))) (-. (All B, ((in B T_0) => ((apply (identity_relation T_0) B) = B)))) ### Equiv 7 9
% 2.63/2.83 11. (((relation (identity_relation T_0)) /\ (function (identity_relation T_0))) => (((identity_relation T_0) = (identity_relation T_0)) <=> (((relation_dom (identity_relation T_0)) = T_0) /\ (All B, ((in B T_0) => ((apply (identity_relation T_0) B) = B)))))) (-. (All B, ((in B T_0) => ((apply (identity_relation T_0) B) = B)))) (All A, ((relation (identity_relation A)) /\ (function (identity_relation A)))) ### DisjTree 3 6 10
% 2.63/2.83 12. (All B, (((relation B) /\ (function B)) => ((B = (identity_relation T_0)) <=> (((relation_dom B) = T_0) /\ (All C, ((in C T_0) => ((apply B C) = C))))))) (All A, ((relation (identity_relation A)) /\ (function (identity_relation A)))) (-. (All B, ((in B T_0) => ((apply (identity_relation T_0) B) = B)))) ### All 11
% 2.63/2.83 13. (All A, (All B, (((relation B) /\ (function B)) => ((B = (identity_relation A)) <=> (((relation_dom B) = A) /\ (All C, ((in C A) => ((apply B C) = C)))))))) (-. (All B, ((in B T_0) => ((apply (identity_relation T_0) B) = B)))) (All A, ((relation (identity_relation A)) /\ (function (identity_relation A)))) ### All 12
% 2.63/2.83 14. (-. (All A, (All B, ((in B A) => ((apply (identity_relation A) B) = B))))) (All A, ((relation (identity_relation A)) /\ (function (identity_relation A)))) (All A, (All B, (((relation B) /\ (function B)) => ((B = (identity_relation A)) <=> (((relation_dom B) = A) /\ (All C, ((in C A) => ((apply B C) = C)))))))) ### NotAllEx 13
% 2.63/2.83 % SZS output end Proof
% 2.63/2.83 (* END-PROOF *)
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