%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SEU294+3 : 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 : n016.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 14:50:00 EDT 2022 % Result : Theorem 2.73s 2.93s % Output : Proof 2.73s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SEU294+3 : TPTP v8.1.0. Released v3.2.0. % 0.03/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.13/0.33 % Computer : n016.cluster.edu % 0.13/0.33 % Model : x86_64 x86_64 % 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.33 % Memory : 8042.1875MB % 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.33 % CPULimit : 300 % 0.13/0.33 % WCLimit : 600 % 0.13/0.33 % DateTime : Mon Jun 20 09:42:40 EDT 2022 % 0.13/0.33 % CPUTime : % 2.73/2.93 % SZS status Theorem % 2.73/2.93 (* PROOF-FOUND *) % 2.73/2.93 (* BEGIN-PROOF *) % 2.73/2.93 % SZS output start Proof % 2.73/2.93 1. (finite T_0) (-. (finite T_0)) ### Axiom % 2.73/2.93 2. (subset T_1 T_0) (-. (subset T_1 T_0)) ### Axiom % 2.73/2.93 3. (-. (element T_1 (powerset T_0))) (element T_1 (powerset T_0)) ### Axiom % 2.73/2.93 4. ((element T_1 (powerset T_0)) <=> (subset T_1 T_0)) (-. (element T_1 (powerset T_0))) (subset T_1 T_0) ### Equiv 2 3 % 2.73/2.93 5. (All B, ((element T_1 (powerset B)) <=> (subset T_1 B))) (subset T_1 T_0) (-. (element T_1 (powerset T_0))) ### All 4 % 2.73/2.93 6. (-. (finite T_1)) (finite T_1) ### Axiom % 2.73/2.93 7. ((element T_1 (powerset T_0)) => (finite T_1)) (-. (finite T_1)) (subset T_1 T_0) (All B, ((element T_1 (powerset B)) <=> (subset T_1 B))) ### Imply 5 6 % 2.73/2.93 8. (All B, ((element B (powerset T_0)) => (finite B))) (All B, ((element T_1 (powerset B)) <=> (subset T_1 B))) (subset T_1 T_0) (-. (finite T_1)) ### All 7 % 2.73/2.93 9. ((finite T_0) => (All B, ((element B (powerset T_0)) => (finite B)))) (-. (finite T_1)) (subset T_1 T_0) (All B, ((element T_1 (powerset B)) <=> (subset T_1 B))) (finite T_0) ### Imply 1 8 % 2.73/2.93 10. (All A, ((finite A) => (All B, ((element B (powerset A)) => (finite B))))) (finite T_0) (All B, ((element T_1 (powerset B)) <=> (subset T_1 B))) (subset T_1 T_0) (-. (finite T_1)) ### All 9 % 2.73/2.93 11. (All A, (All B, ((element A (powerset B)) <=> (subset A B)))) (-. (finite T_1)) (subset T_1 T_0) (finite T_0) (All A, ((finite A) => (All B, ((element B (powerset A)) => (finite B))))) ### All 10 % 2.73/2.93 12. (-. (((subset T_1 T_0) /\ (finite T_0)) => (finite T_1))) (All A, ((finite A) => (All B, ((element B (powerset A)) => (finite B))))) (All A, (All B, ((element A (powerset B)) <=> (subset A B)))) ### ConjTree 11 % 2.73/2.93 13. (-. (All B, (((subset T_1 B) /\ (finite B)) => (finite T_1)))) (All A, (All B, ((element A (powerset B)) <=> (subset A B)))) (All A, ((finite A) => (All B, ((element B (powerset A)) => (finite B))))) ### NotAllEx 12 % 2.73/2.93 14. (-. (All A, (All B, (((subset A B) /\ (finite B)) => (finite A))))) (All A, ((finite A) => (All B, ((element B (powerset A)) => (finite B))))) (All A, (All B, ((element A (powerset B)) <=> (subset A B)))) ### NotAllEx 13 % 2.73/2.93 % SZS output end Proof % 2.73/2.93 (* END-PROOF *) %------------------------------------------------------------------------------