%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SET880+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 : n029.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 3.45s 3.63s % Output : Proof 3.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : SET880+1 : TPTP v8.1.0. Released v3.2.0. % 0.06/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.12/0.33 % Computer : n029.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 04:07:16 EDT 2022 % 0.12/0.34 % CPUTime : % 3.45/3.63 % SZS status Theorem % 3.45/3.63 (* PROOF-FOUND *) % 3.45/3.63 (* BEGIN-PROOF *) % 3.45/3.63 % SZS output start Proof % 3.45/3.63 1. ((singleton T_0) != (singleton T_0)) ### Refl(=) % 3.45/3.63 2. ((set_difference (singleton T_1) (singleton T_0)) = (empty_set)) ((set_difference (singleton T_1) (singleton T_0)) != (empty_set)) ### Axiom % 3.45/3.63 3. (-. (in T_1 (singleton T_0))) ((set_difference (singleton T_1) (singleton T_0)) = (empty_set)) ### Definition-Pseudo(in) 2 % 3.45/3.63 4. (T_1 != T_0) (T_1 = T_0) ### Axiom % 3.45/3.63 5. ((in T_1 (singleton T_0)) <=> (T_1 = T_0)) (T_1 != T_0) ((set_difference (singleton T_1) (singleton T_0)) = (empty_set)) ### Equiv 3 4 % 3.45/3.63 6. (All C, ((in C (singleton T_0)) <=> (C = T_0))) ((set_difference (singleton T_1) (singleton T_0)) = (empty_set)) (T_1 != T_0) ### All 5 % 3.45/3.63 7. (((singleton T_0) = (singleton T_0)) <=> (All C, ((in C (singleton T_0)) <=> (C = T_0)))) (T_1 != T_0) ((set_difference (singleton T_1) (singleton T_0)) = (empty_set)) ### Equiv 1 6 % 3.45/3.63 8. (All B, ((B = (singleton T_0)) <=> (All C, ((in C B) <=> (C = T_0))))) ((set_difference (singleton T_1) (singleton T_0)) = (empty_set)) (T_1 != T_0) ### All 7 % 3.45/3.63 9. (All A, (All B, ((B = (singleton A)) <=> (All C, ((in C B) <=> (C = A)))))) (T_1 != T_0) ((set_difference (singleton T_1) (singleton T_0)) = (empty_set)) ### All 8 % 3.45/3.63 10. (-. (((set_difference (singleton T_1) (singleton T_0)) = (empty_set)) => (T_1 = T_0))) (All A, (All B, ((B = (singleton A)) <=> (All C, ((in C B) <=> (C = A)))))) ### NotImply 9 % 3.45/3.63 11. (-. (All B, (((set_difference (singleton T_1) (singleton B)) = (empty_set)) => (T_1 = B)))) (All A, (All B, ((B = (singleton A)) <=> (All C, ((in C B) <=> (C = A)))))) ### NotAllEx 10 % 3.45/3.63 12. (-. (All A, (All B, (((set_difference (singleton A) (singleton B)) = (empty_set)) => (A = B))))) (All A, (All B, ((B = (singleton A)) <=> (All C, ((in C B) <=> (C = A)))))) ### NotAllEx 11 % 3.45/3.63 % SZS output end Proof % 3.45/3.63 (* END-PROOF *) %------------------------------------------------------------------------------