%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SET800+4 : 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 : n003.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 05:44:04 EDT 2022 % Result : Theorem 0.18s 0.41s % Output : Proof 0.18s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.11 % Problem : SET800+4 : TPTP v8.1.0. Released v3.2.0. % 0.06/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.11/0.33 % Computer : n003.cluster.edu % 0.11/0.33 % Model : x86_64 x86_64 % 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.33 % Memory : 8042.1875MB % 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.33 % CPULimit : 300 % 0.11/0.33 % WCLimit : 600 % 0.11/0.33 % DateTime : Sat Jul 9 23:22:44 EDT 2022 % 0.11/0.33 % CPUTime : % 0.18/0.41 % SZS status Theorem % 0.18/0.41 (* PROOF-FOUND *) % 0.18/0.41 (* BEGIN-PROOF *) % 0.18/0.41 % SZS output start Proof % 0.18/0.41 1. (member T_0 T_1) (-. (member T_0 T_1)) ### Axiom % 0.18/0.41 2. (-. (member T_0 T_2)) (member T_0 T_2) ### Axiom % 0.18/0.41 3. (subset T_1 T_2) (-. (member T_0 T_2)) (member T_0 T_1) ### Extension/test/subset_inst 1 2 % 0.18/0.41 4. (-. (apply T_3 T_4 T_0)) (apply T_3 T_4 T_0) ### Axiom % 0.18/0.41 5. (lower_bound T_4 T_3 T_2) (-. (apply T_3 T_4 T_0)) (member T_0 T_1) (subset T_1 T_2) ### Extension/test/lower_bound_inst 3 4 % 0.18/0.41 6. (greatest_lower_bound T_4 T_2 T_3 T_5) (subset T_1 T_2) (member T_0 T_1) (-. (apply T_3 T_4 T_0)) ### Extension/test/greatest_lower_bound 5 5 5 % 0.18/0.41 7. (greatest_lower_bound T_0 T_1 T_3 T_5) (-. (apply T_3 T_4 T_0)) (subset T_1 T_2) (greatest_lower_bound T_4 T_2 T_3 T_5) ### Extension/test/greatest_lower_bound 6 6 6 % 0.18/0.41 8. (-. (((greatest_lower_bound T_0 T_1 T_3 T_5) /\ (greatest_lower_bound T_4 T_2 T_3 T_5)) => (apply T_3 T_4 T_0))) (subset T_1 T_2) ### ConjTree 7 % 0.18/0.41 9. (-. (All M2, (((greatest_lower_bound T_0 T_1 T_3 T_5) /\ (greatest_lower_bound M2 T_2 T_3 T_5)) => (apply T_3 M2 T_0)))) (subset T_1 T_2) ### NotAllEx 8 % 0.18/0.41 10. (-. (All M1, (All M2, (((greatest_lower_bound M1 T_1 T_3 T_5) /\ (greatest_lower_bound M2 T_2 T_3 T_5)) => (apply T_3 M2 M1))))) (subset T_1 T_2) ### NotAllEx 9 % 0.18/0.41 11. (-. (((subset T_1 T_5) /\ ((subset T_2 T_5) /\ (subset T_1 T_2))) => (All M1, (All M2, (((greatest_lower_bound M1 T_1 T_3 T_5) /\ (greatest_lower_bound M2 T_2 T_3 T_5)) => (apply T_3 M2 M1)))))) ### ConjTree 10 % 0.18/0.41 12. (-. (All X2, (((subset T_1 T_5) /\ ((subset X2 T_5) /\ (subset T_1 X2))) => (All M1, (All M2, (((greatest_lower_bound M1 T_1 T_3 T_5) /\ (greatest_lower_bound M2 X2 T_3 T_5)) => (apply T_3 M2 M1))))))) ### NotAllEx 11 % 0.18/0.41 13. (-. (All X1, (All X2, (((subset X1 T_5) /\ ((subset X2 T_5) /\ (subset X1 X2))) => (All M1, (All M2, (((greatest_lower_bound M1 X1 T_3 T_5) /\ (greatest_lower_bound M2 X2 T_3 T_5)) => (apply T_3 M2 M1)))))))) ### NotAllEx 12 % 0.18/0.41 14. (-. ((order T_3 T_5) => (All X1, (All X2, (((subset X1 T_5) /\ ((subset X2 T_5) /\ (subset X1 X2))) => (All M1, (All M2, (((greatest_lower_bound M1 X1 T_3 T_5) /\ (greatest_lower_bound M2 X2 T_3 T_5)) => (apply T_3 M2 M1))))))))) ### NotImply 13 % 0.18/0.41 15. (-. (All E, ((order T_3 E) => (All X1, (All X2, (((subset X1 E) /\ ((subset X2 E) /\ (subset X1 X2))) => (All M1, (All M2, (((greatest_lower_bound M1 X1 T_3 E) /\ (greatest_lower_bound M2 X2 T_3 E)) => (apply T_3 M2 M1)))))))))) ### NotAllEx 14 % 0.18/0.41 16. (-. (All R, (All E, ((order R E) => (All X1, (All X2, (((subset X1 E) /\ ((subset X2 E) /\ (subset X1 X2))) => (All M1, (All M2, (((greatest_lower_bound M1 X1 R E) /\ (greatest_lower_bound M2 X2 R E)) => (apply R M2 M1))))))))))) ### NotAllEx 15 % 0.18/0.41 % SZS output end Proof % 0.18/0.41 (* END-PROOF *) %------------------------------------------------------------------------------