%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SET691+4 : 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 : n026.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 05:43:24 EDT 2022 % Result : Theorem 0.12s 0.38s % Output : Proof 0.12s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : SET691+4 : TPTP v8.1.0. Released v2.2.0. % 0.06/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.12/0.34 % Computer : n026.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 06:42:41 EDT 2022 % 0.12/0.34 % CPUTime : % 0.12/0.38 % SZS status Theorem % 0.12/0.38 (* PROOF-FOUND *) % 0.12/0.38 (* BEGIN-PROOF *) % 0.12/0.38 % SZS output start Proof % 0.12/0.38 1. (-. (subset T_0 (empty_set))) (subset T_0 (empty_set)) ### Axiom % 0.12/0.38 2. (equal_set T_0 (empty_set)) (-. (subset T_0 (empty_set))) ### Extension/test/equal_set 1 % 0.12/0.38 3. (subset T_0 (empty_set)) (-. (subset T_0 (empty_set))) ### Axiom % 0.12/0.38 4. (member T_1 (empty_set)) (-. (member T_1 (empty_set))) ### Axiom % 0.12/0.38 5. (All X, (-. (member X (empty_set)))) (member T_1 (empty_set)) ### All 4 % 0.12/0.38 6. (-. (subset (empty_set) T_0)) (All X, (-. (member X (empty_set)))) ### Extension/test/not_subset 5 % 0.12/0.38 7. (-. (equal_set T_0 (empty_set))) (All X, (-. (member X (empty_set)))) (subset T_0 (empty_set)) ### Extension/test/not_equal_set 3 6 % 0.12/0.38 8. (-. ((subset T_0 (empty_set)) <=> (equal_set T_0 (empty_set)))) (All X, (-. (member X (empty_set)))) ### NotEquiv 2 7 % 0.12/0.38 9. (-. (All A, ((subset A (empty_set)) <=> (equal_set A (empty_set))))) (All X, (-. (member X (empty_set)))) ### NotAllEx 8 % 0.12/0.38 % SZS output end Proof % 0.12/0.38 (* END-PROOF *) %------------------------------------------------------------------------------