%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SET926+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 : 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 05:45:04 EDT 2022 % Result : Theorem 0.20s 0.41s % Output : Proof 0.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.13 % Problem : SET926+1 : TPTP v8.1.0. Released v3.2.0. % 0.08/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.13/0.34 % Computer : n027.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 600 % 0.13/0.34 % DateTime : Sun Jul 10 10:04:02 EDT 2022 % 0.13/0.34 % CPUTime : % 0.20/0.41 % SZS status Theorem % 0.20/0.41 (* PROOF-FOUND *) % 0.20/0.41 (* BEGIN-PROOF *) % 0.20/0.41 % SZS output start Proof % 0.20/0.41 1. (in T_0 T_1) (-. (in T_0 T_1)) ### Axiom % 0.20/0.41 2. ((set_difference (singleton T_0) T_1) != (empty_set)) ((set_difference (singleton T_0) T_1) = (empty_set)) ### Axiom % 0.20/0.41 3. (((set_difference (singleton T_0) T_1) = (empty_set)) <=> (in T_0 T_1)) ((set_difference (singleton T_0) T_1) != (empty_set)) (in T_0 T_1) ### Equiv 1 2 % 0.20/0.41 4. (All B, (((set_difference (singleton T_0) B) = (empty_set)) <=> (in T_0 B))) (in T_0 T_1) ((set_difference (singleton T_0) T_1) != (empty_set)) ### All 3 % 0.20/0.41 5. (All A, (All B, (((set_difference (singleton A) B) = (empty_set)) <=> (in A B)))) ((set_difference (singleton T_0) T_1) != (empty_set)) (in T_0 T_1) ### All 4 % 0.20/0.41 6. ((set_difference (singleton T_0) T_1) != (singleton T_0)) ((set_difference (singleton T_0) T_1) != (empty_set)) (All A, (All B, (((set_difference (singleton A) B) = (empty_set)) <=> (in A B)))) ### Extension/test/not_l34_zfmisc_1 5 % 0.20/0.41 7. (-. (((set_difference (singleton T_0) T_1) = (empty_set)) \/ ((set_difference (singleton T_0) T_1) = (singleton T_0)))) (All A, (All B, (((set_difference (singleton A) B) = (empty_set)) <=> (in A B)))) ### NotOr 6 % 0.20/0.41 8. (-. (All B, (((set_difference (singleton T_0) B) = (empty_set)) \/ ((set_difference (singleton T_0) B) = (singleton T_0))))) (All A, (All B, (((set_difference (singleton A) B) = (empty_set)) <=> (in A B)))) ### NotAllEx 7 % 0.20/0.41 9. (-. (All A, (All B, (((set_difference (singleton A) B) = (empty_set)) \/ ((set_difference (singleton A) B) = (singleton A)))))) (All A, (All B, (((set_difference (singleton A) B) = (empty_set)) <=> (in A B)))) ### NotAllEx 8 % 0.20/0.41 % SZS output end Proof % 0.20/0.41 (* END-PROOF *) %------------------------------------------------------------------------------