%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SYN377+1 : TPTP v8.1.0. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % Computer : n014.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 : Thu Jul 21 12:43:07 EDT 2022 % Result : Theorem 0.20s 0.40s % Output : Proof 0.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SYN377+1 : TPTP v8.1.0. Released v2.0.0. % 0.07/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.13/0.34 % Computer : n014.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 600 % 0.13/0.34 % DateTime : Tue Jul 12 06:04:19 EDT 2022 % 0.13/0.34 % CPUTime : % 0.20/0.40 % SZS status Theorem % 0.20/0.40 (* PROOF-FOUND *) % 0.20/0.40 (* BEGIN-PROOF *) % 0.20/0.40 % SZS output start Proof % 0.20/0.40 1. (-. (big_p T_0)) (big_p T_0) ### Axiom % 0.20/0.40 2. (All Y, (big_p Y)) (-. (big_p T_0)) ### All 1 % 0.20/0.40 3. (big_p T_0) (-. (big_p T_0)) ### Axiom % 0.20/0.40 4. (-. (Ex X, (big_p X))) (big_p T_0) ### NotExists 3 % 0.20/0.40 5. (-. (All Y, (big_p Y))) (All Y, (big_p Y)) ### Axiom % 0.20/0.40 6. ((Ex X, (big_p X)) <=> (All Y, (big_p Y))) (-. (All Y, (big_p Y))) (big_p T_0) ### Equiv 4 5 % 0.20/0.40 7. (-. ((big_p T_0) <=> (All Y, (big_p Y)))) ((Ex X, (big_p X)) <=> (All Y, (big_p Y))) ### NotEquiv 2 6 % 0.20/0.40 8. (-. (All X, ((big_p X) <=> (All Y, (big_p Y))))) ((Ex X, (big_p X)) <=> (All Y, (big_p Y))) ### NotAllEx 7 % 0.20/0.40 9. (big_p zenon_X1) (-. (big_p zenon_X1)) ### Axiom % 0.20/0.40 10. (-. (Ex X, (big_p X))) (big_p zenon_X1) ### NotExists 9 % 0.20/0.40 11. (All Y, (big_p Y)) (-. (Ex X, (big_p X))) ### All 10 % 0.20/0.40 12. (big_p T_2) (-. (big_p T_2)) ### Axiom % 0.20/0.40 13. (-. (All Y, (big_p Y))) (All Y, (big_p Y)) ### Axiom % 0.20/0.40 14. ((big_p T_2) <=> (All Y, (big_p Y))) (-. (All Y, (big_p Y))) (big_p T_2) ### Equiv 12 13 % 0.20/0.40 15. (All X, ((big_p X) <=> (All Y, (big_p Y)))) (big_p T_2) (-. (All Y, (big_p Y))) ### All 14 % 0.20/0.40 16. (Ex X, (big_p X)) (-. (All Y, (big_p Y))) (All X, ((big_p X) <=> (All Y, (big_p Y)))) ### Exists 15 % 0.20/0.40 17. (-. ((Ex X, (big_p X)) <=> (All Y, (big_p Y)))) (All X, ((big_p X) <=> (All Y, (big_p Y)))) ### NotEquiv 11 16 % 0.20/0.40 18. (-. ((All X, ((big_p X) <=> (All Y, (big_p Y)))) <=> ((Ex X, (big_p X)) <=> (All Y, (big_p Y))))) ### NotEquiv 8 17 % 0.20/0.40 % SZS output end Proof % 0.20/0.40 (* END-PROOF *) %------------------------------------------------------------------------------