%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SET901+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 : n024.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 05:44:53 EDT 2022 % Result : Theorem 0.19s 0.40s % Output : Proof 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SET901+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 : n024.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 : Sun Jul 10 13:54:13 EDT 2022 % 0.12/0.34 % CPUTime : % 0.19/0.40 % SZS status Theorem % 0.19/0.40 (* PROOF-FOUND *) % 0.19/0.40 (* BEGIN-PROOF *) % 0.19/0.40 % SZS output start Proof % 0.19/0.40 1. (T_0 != (empty_set)) (T_0 = (empty_set)) ### Axiom % 0.19/0.40 2. (T_0 != (singleton T_1)) (T_0 = (singleton T_1)) ### Axiom % 0.19/0.40 3. (T_0 != (singleton T_2)) (T_0 = (singleton T_2)) ### Axiom % 0.19/0.40 4. (T_0 != (unordered_pair T_1 T_2)) (T_0 = (unordered_pair T_1 T_2)) ### Axiom % 0.19/0.40 5. (-. ((T_0 != (empty_set)) /\ ((T_0 != (singleton T_1)) /\ ((T_0 != (singleton T_2)) /\ (T_0 != (unordered_pair T_1 T_2)))))) (T_0 != (unordered_pair T_1 T_2)) (T_0 != (singleton T_2)) (T_0 != (singleton T_1)) (T_0 != (empty_set)) ### DisjTree 1 2 3 4 % 0.19/0.40 6. (-. (subset T_0 (unordered_pair T_1 T_2))) (-. ((T_0 != (empty_set)) /\ ((T_0 != (singleton T_1)) /\ ((T_0 != (singleton T_2)) /\ (T_0 != (unordered_pair T_1 T_2)))))) ### Extension/test/not_l46_zfmisc_1 5 % 0.19/0.40 7. (T_0 != (singleton T_1)) (T_0 = (singleton T_1)) ### Axiom % 0.19/0.40 8. (T_0 != (singleton T_2)) (T_0 = (singleton T_2)) ### Axiom % 0.19/0.40 9. (T_0 != (empty_set)) (T_0 = (empty_set)) ### Axiom % 0.19/0.40 10. (T_0 != (unordered_pair T_1 T_2)) (T_0 = (unordered_pair T_1 T_2)) ### Axiom % 0.19/0.40 11. (subset T_0 (unordered_pair T_1 T_2)) (T_0 != (unordered_pair T_1 T_2)) (T_0 != (empty_set)) (T_0 != (singleton T_2)) (T_0 != (singleton T_1)) ### Extension/test/l46_zfmisc_1 7 8 9 10 % 0.19/0.40 12. ((T_0 != (empty_set)) /\ ((T_0 != (singleton T_1)) /\ ((T_0 != (singleton T_2)) /\ (T_0 != (unordered_pair T_1 T_2))))) (subset T_0 (unordered_pair T_1 T_2)) ### ConjTree 11 % 0.19/0.40 13. (-. (-. ((T_0 != (empty_set)) /\ ((T_0 != (singleton T_1)) /\ ((T_0 != (singleton T_2)) /\ (T_0 != (unordered_pair T_1 T_2))))))) (subset T_0 (unordered_pair T_1 T_2)) ### NotNot 12 % 0.19/0.40 14. (-. ((subset T_0 (unordered_pair T_1 T_2)) <=> (-. ((T_0 != (empty_set)) /\ ((T_0 != (singleton T_1)) /\ ((T_0 != (singleton T_2)) /\ (T_0 != (unordered_pair T_1 T_2)))))))) ### NotEquiv 6 13 % 0.19/0.40 15. (-. (All C, ((subset T_0 (unordered_pair T_1 C)) <=> (-. ((T_0 != (empty_set)) /\ ((T_0 != (singleton T_1)) /\ ((T_0 != (singleton C)) /\ (T_0 != (unordered_pair T_1 C))))))))) ### NotAllEx 14 % 0.19/0.40 16. (-. (All B, (All C, ((subset T_0 (unordered_pair B C)) <=> (-. ((T_0 != (empty_set)) /\ ((T_0 != (singleton B)) /\ ((T_0 != (singleton C)) /\ (T_0 != (unordered_pair B C)))))))))) ### NotAllEx 15 % 0.19/0.40 17. (-. (All A, (All B, (All C, ((subset A (unordered_pair B C)) <=> (-. ((A != (empty_set)) /\ ((A != (singleton B)) /\ ((A != (singleton C)) /\ (A != (unordered_pair B C))))))))))) ### NotAllEx 16 % 0.19/0.40 % SZS output end Proof % 0.19/0.40 (* END-PROOF *) %------------------------------------------------------------------------------