%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SYN375+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 : n013.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 12:43:06 EDT 2022 % Result : Theorem 0.12s 0.39s % Output : Proof 0.12s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SYN375+1 : TPTP v8.1.0. Released v2.0.0. % 0.07/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.12/0.33 % Computer : n013.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Mon Jul 11 21:25:14 EDT 2022 % 0.12/0.33 % CPUTime : % 0.12/0.39 % SZS status Theorem % 0.12/0.39 (* PROOF-FOUND *) % 0.12/0.39 (* BEGIN-PROOF *) % 0.12/0.39 % SZS output start Proof % 0.12/0.39 1. (Ex Y, (big_p Y)) (-. (Ex Y, (big_p Y))) ### Axiom % 0.12/0.39 2. (-. (big_p T_0)) (big_p T_0) ### Axiom % 0.12/0.39 3. (All X, (big_p X)) (-. (big_p T_0)) ### All 2 % 0.12/0.39 4. ((All X, (big_p X)) <=> (Ex Y, (big_p Y))) (-. (big_p T_0)) (Ex Y, (big_p Y)) ### Equiv 1 3 % 0.12/0.39 5. (big_p T_0) (-. (big_p T_0)) ### Axiom % 0.12/0.39 6. (-. (Ex Y, (big_p Y))) (big_p T_0) ### NotExists 5 % 0.12/0.39 7. (-. ((big_p T_0) <=> (Ex Y, (big_p Y)))) ((All X, (big_p X)) <=> (Ex Y, (big_p Y))) ### NotEquiv 4 6 % 0.12/0.39 8. (-. (All X, ((big_p X) <=> (Ex Y, (big_p Y))))) ((All X, (big_p X)) <=> (Ex Y, (big_p Y))) ### NotAllEx 7 % 0.12/0.39 9. (Ex Y, (big_p Y)) (-. (Ex Y, (big_p Y))) ### Axiom % 0.12/0.39 10. (-. (big_p T_1)) (big_p T_1) ### Axiom % 0.12/0.39 11. ((big_p T_1) <=> (Ex Y, (big_p Y))) (-. (big_p T_1)) (Ex Y, (big_p Y)) ### Equiv 9 10 % 0.12/0.39 12. (All X, ((big_p X) <=> (Ex Y, (big_p Y)))) (Ex Y, (big_p Y)) (-. (big_p T_1)) ### All 11 % 0.12/0.39 13. (-. (All X, (big_p X))) (Ex Y, (big_p Y)) (All X, ((big_p X) <=> (Ex Y, (big_p Y)))) ### NotAllEx 12 % 0.12/0.39 14. (big_p zenon_X2) (-. (big_p zenon_X2)) ### Axiom % 0.12/0.39 15. (-. (Ex Y, (big_p Y))) (big_p zenon_X2) ### NotExists 14 % 0.12/0.39 16. (All X, (big_p X)) (-. (Ex Y, (big_p Y))) ### All 15 % 0.12/0.39 17. (-. ((All X, (big_p X)) <=> (Ex Y, (big_p Y)))) (All X, ((big_p X) <=> (Ex Y, (big_p Y)))) ### NotEquiv 13 16 % 0.12/0.39 18. (-. ((All X, ((big_p X) <=> (Ex Y, (big_p Y)))) <=> ((All X, (big_p X)) <=> (Ex Y, (big_p Y))))) ### NotEquiv 8 17 % 0.12/0.39 % SZS output end Proof % 0.12/0.39 (* END-PROOF *) %------------------------------------------------------------------------------