%------------------------------------------------------------------------------ % 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 : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----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 *) %------------------------------------------------------------------------------