%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SET618+3 : TPTP v8.1.0. Released v2.2.0. % Transfm : none % Format : tptp:raw % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % Computer : n008.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 05:42:50 EDT 2022 % Result : Theorem 0.35s 0.53s % Output : Proof 0.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SET618+3 : TPTP v8.1.0. Released v2.2.0. % 0.07/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.12/0.34 % Computer : n008.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 06:47:38 EDT 2022 % 0.12/0.34 % CPUTime : % 0.35/0.53 % SZS status Theorem % 0.35/0.53 (* PROOF-FOUND *) % 0.35/0.53 (* BEGIN-PROOF *) % 0.35/0.53 % SZS output start Proof % 0.35/0.53 1. ((difference T_0 T_0) != (empty_set)) ((difference T_0 T_0) = (empty_set)) ### Axiom % 0.35/0.53 2. (All B, ((difference B B) = (empty_set))) ((difference T_0 T_0) != (empty_set)) ### All 1 % 0.35/0.53 3. ((union (difference T_0 T_0) (difference T_0 T_0)) != (union (empty_set) (empty_set))) (All B, ((difference B B) = (empty_set))) ### NotEqual 2 2 % 0.35/0.53 4. ((difference zenon_X1 zenon_X1) = (empty_set)) ((empty_set) != (difference zenon_X1 zenon_X1)) ### Sym(=) % 0.35/0.53 5. ((difference zenon_X1 zenon_X1) = (empty_set)) ((empty_set) != (difference zenon_X1 zenon_X1)) ### Sym(=) % 0.35/0.53 6. ((union (difference T_0 T_0) (difference T_0 T_0)) != (difference zenon_X1 zenon_X1)) ((union (empty_set) (empty_set)) = (empty_set)) ((difference zenon_X1 zenon_X1) = (empty_set)) (All B, ((difference B B) = (empty_set))) ### TransEq 3 4 5 % 0.35/0.53 7. (All B, ((union B B) = B)) (All B, ((difference B B) = (empty_set))) ((difference zenon_X1 zenon_X1) = (empty_set)) ((union (difference T_0 T_0) (difference T_0 T_0)) != (difference zenon_X1 zenon_X1)) ### All 6 % 0.35/0.53 8. ((empty_set) != (empty_set)) ### NotEqual % 0.35/0.53 9. ((union (difference T_0 T_0) (difference T_0 T_0)) != (empty_set)) ((difference zenon_X1 zenon_X1) = (empty_set)) (All B, ((difference B B) = (empty_set))) (All B, ((union B B) = B)) ### TransEq 7 8 8 % 0.35/0.53 10. (All B, ((union B B) = B)) (All B, ((difference B B) = (empty_set))) ((union (difference T_0 T_0) (difference T_0 T_0)) != (empty_set)) ### All 9 % 0.35/0.53 11. ((symmetric_difference T_0 T_0) != (empty_set)) (All B, ((difference B B) = (empty_set))) (All B, ((union B B) = B)) ### Definition-Pseudo(symmetric_difference) 10 % 0.35/0.53 12. (-. (All B, ((symmetric_difference B B) = (empty_set)))) (All B, ((union B B) = B)) (All B, ((difference B B) = (empty_set))) ### NotAllEx 11 % 0.35/0.53 % SZS output end Proof % 0.35/0.53 (* END-PROOF *) %------------------------------------------------------------------------------