%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SET881+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 : Tue Jul 19 05:44:46 EDT 2022 % Result : Theorem 5.70s 5.97s % Output : Proof 5.70s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET881+1 : TPTP v8.1.0. Released v3.2.0. % 0.12/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.12/0.33 % Computer : n026.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 : Sun Jul 10 12:07:26 EDT 2022 % 0.12/0.33 % CPUTime : % 5.70/5.97 % SZS status Theorem % 5.70/5.97 (* PROOF-FOUND *) % 5.70/5.97 (* BEGIN-PROOF *) % 5.70/5.97 % SZS output start Proof % 5.70/5.97 1. ((unordered_pair T_0 T_1) != (unordered_pair T_0 T_1)) ### Refl(=) % 5.70/5.97 2. (T_0 != T_0) ### Refl(=) % 5.70/5.97 3. (-. ((T_0 = T_0) \/ (T_0 = T_1))) ### NotOr 2 % 5.70/5.97 4. ((set_difference (singleton T_0) (unordered_pair T_0 T_1)) != (empty_set)) ((set_difference (singleton T_0) (unordered_pair T_0 T_1)) = (empty_set)) ### Axiom % 5.70/5.97 5. (in T_0 (unordered_pair T_0 T_1)) ((set_difference (singleton T_0) (unordered_pair T_0 T_1)) != (empty_set)) ### Definition-Pseudo(in) 4 % 5.70/5.97 6. ((in T_0 (unordered_pair T_0 T_1)) <=> ((T_0 = T_0) \/ (T_0 = T_1))) ((set_difference (singleton T_0) (unordered_pair T_0 T_1)) != (empty_set)) ### Equiv 3 5 % 5.70/5.97 7. (All D, ((in D (unordered_pair T_0 T_1)) <=> ((D = T_0) \/ (D = T_1)))) ((set_difference (singleton T_0) (unordered_pair T_0 T_1)) != (empty_set)) ### All 6 % 5.70/5.97 8. (((unordered_pair T_0 T_1) = (unordered_pair T_0 T_1)) <=> (All D, ((in D (unordered_pair T_0 T_1)) <=> ((D = T_0) \/ (D = T_1))))) ((set_difference (singleton T_0) (unordered_pair T_0 T_1)) != (empty_set)) ### Equiv 1 7 % 5.70/5.97 9. (All C, ((C = (unordered_pair T_0 T_1)) <=> (All D, ((in D C) <=> ((D = T_0) \/ (D = T_1)))))) ((set_difference (singleton T_0) (unordered_pair T_0 T_1)) != (empty_set)) ### All 8 % 5.70/5.97 10. (All B, (All C, ((C = (unordered_pair T_0 B)) <=> (All D, ((in D C) <=> ((D = T_0) \/ (D = B))))))) ((set_difference (singleton T_0) (unordered_pair T_0 T_1)) != (empty_set)) ### All 9 % 5.70/5.97 11. (All A, (All B, (All C, ((C = (unordered_pair A B)) <=> (All D, ((in D C) <=> ((D = A) \/ (D = B)))))))) ((set_difference (singleton T_0) (unordered_pair T_0 T_1)) != (empty_set)) ### All 10 % 5.70/5.97 12. (-. (All B, ((set_difference (singleton T_0) (unordered_pair T_0 B)) = (empty_set)))) (All A, (All B, (All C, ((C = (unordered_pair A B)) <=> (All D, ((in D C) <=> ((D = A) \/ (D = B)))))))) ### NotAllEx 11 % 5.70/5.97 13. (-. (All A, (All B, ((set_difference (singleton A) (unordered_pair A B)) = (empty_set))))) (All A, (All B, (All C, ((C = (unordered_pair A B)) <=> (All D, ((in D C) <=> ((D = A) \/ (D = B)))))))) ### NotAllEx 12 % 5.70/5.97 % SZS output end Proof % 5.70/5.97 (* END-PROOF *) %------------------------------------------------------------------------------