%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SEU143+1 : TPTP v8.1.0. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % Computer : n027.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 14:48:37 EDT 2022 % Result : Theorem 0.18s 0.40s % Output : Proof 0.18s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.11 % Problem : SEU143+1 : TPTP v8.1.0. Released v3.3.0. % 0.04/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.12/0.33 % Computer : n027.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 : Mon Jun 20 09:47:40 EDT 2022 % 0.12/0.33 % CPUTime : % 0.18/0.40 % SZS status Theorem % 0.18/0.40 (* PROOF-FOUND *) % 0.18/0.40 (* BEGIN-PROOF *) % 0.18/0.40 % SZS output start Proof % 0.18/0.40 1. ((empty_set) != (empty_set)) ### NotEqual % 0.18/0.40 2. ((singleton T_0) = (empty_set)) ((empty_set) != (singleton T_0)) ### Sym(=) % 0.18/0.40 3. (T_0 != T_0) ### Refl(=) % 0.18/0.40 4. (in T_0 (empty_set)) (-. (in T_0 (empty_set))) ### Axiom % 0.18/0.40 5. (All B, (-. (in B (empty_set)))) (in T_0 (empty_set)) ### All 4 % 0.18/0.40 6. ((in T_0 (empty_set)) <=> (T_0 = T_0)) (All B, (-. (in B (empty_set)))) ### Equiv 3 5 % 0.18/0.40 7. (All C, ((in C (empty_set)) <=> (C = T_0))) (All B, (-. (in B (empty_set)))) ### All 6 % 0.18/0.40 8. (((empty_set) = (singleton T_0)) <=> (All C, ((in C (empty_set)) <=> (C = T_0)))) (All B, (-. (in B (empty_set)))) ((singleton T_0) = (empty_set)) ### Equiv 2 7 % 0.18/0.40 9. (All B, ((B = (singleton T_0)) <=> (All C, ((in C B) <=> (C = T_0))))) ((singleton T_0) = (empty_set)) (All B, (-. (in B (empty_set)))) ### All 8 % 0.18/0.40 10. (All A, (All B, ((B = (singleton A)) <=> (All C, ((in C B) <=> (C = A)))))) (All B, (-. (in B (empty_set)))) ((singleton T_0) = (empty_set)) ### All 9 % 0.18/0.40 11. (((empty_set) = (empty_set)) <=> (All B, (-. (in B (empty_set))))) ((singleton T_0) = (empty_set)) (All A, (All B, ((B = (singleton A)) <=> (All C, ((in C B) <=> (C = A)))))) ### Equiv 1 10 % 0.18/0.40 12. (All A, ((A = (empty_set)) <=> (All B, (-. (in B A))))) (All A, (All B, ((B = (singleton A)) <=> (All C, ((in C B) <=> (C = A)))))) ((singleton T_0) = (empty_set)) ### All 11 % 0.18/0.40 13. (-. ((singleton T_0) != (empty_set))) (All A, (All B, ((B = (singleton A)) <=> (All C, ((in C B) <=> (C = A)))))) (All A, ((A = (empty_set)) <=> (All B, (-. (in B A))))) ### NotNot 12 % 0.18/0.40 14. (-. (All A, ((singleton A) != (empty_set)))) (All A, ((A = (empty_set)) <=> (All B, (-. (in B A))))) (All A, (All B, ((B = (singleton A)) <=> (All C, ((in C B) <=> (C = A)))))) ### NotAllEx 13 % 0.18/0.40 % SZS output end Proof % 0.18/0.40 (* END-PROOF *) %------------------------------------------------------------------------------