%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SYN350+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 : n017.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 12:42:52 EDT 2022 % Result : Theorem 0.19s 0.40s % Output : Proof 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.11 % Problem : SYN350+1 : TPTP v8.1.0. Released v2.0.0. % 0.06/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.13/0.32 % Computer : n017.cluster.edu % 0.13/0.32 % Model : x86_64 x86_64 % 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.32 % Memory : 8042.1875MB % 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.32 % CPULimit : 300 % 0.13/0.32 % WCLimit : 600 % 0.13/0.32 % DateTime : Mon Jul 11 11:05:03 EDT 2022 % 0.13/0.33 % CPUTime : % 0.19/0.40 % SZS status Theorem % 0.19/0.40 (* PROOF-FOUND *) % 0.19/0.40 (* BEGIN-PROOF *) % 0.19/0.40 % SZS output start Proof % 0.19/0.40 1. (-. (big_f T_0 T_1)) (big_f T_0 T_1) ### Axiom % 0.19/0.40 2. ((big_f T_0 T_1) /\ ((big_f zenon_X2 T_1) => (big_f zenon_X2 T_0))) (-. (big_f T_0 T_1)) ### And 1 % 0.19/0.40 3. (-. (big_f T_0 T_1)) (big_f T_0 T_1) ### Axiom % 0.19/0.40 4. (-. ((big_f T_0 T_1) <=> ((big_f T_0 T_1) /\ ((big_f zenon_X2 T_1) => (big_f zenon_X2 T_0))))) (-. (big_f T_0 T_1)) ### NotEquiv 2 3 % 0.19/0.40 5. (-. (big_f T_0 T_3)) (big_f T_0 T_3) ### Axiom % 0.19/0.40 6. ((big_f T_0 T_3) /\ ((big_f T_1 T_3) => (big_f T_1 T_0))) (-. (big_f T_0 T_3)) ### And 5 % 0.19/0.40 7. (-. (big_f T_0 T_3)) (big_f T_0 T_3) ### Axiom % 0.19/0.40 8. (-. ((big_f T_0 T_3) <=> ((big_f T_0 T_3) /\ ((big_f T_1 T_3) => (big_f T_1 T_0))))) (-. (big_f T_0 T_3)) ### NotEquiv 6 7 % 0.19/0.40 9. (big_f T_0 T_3) (-. (big_f T_0 T_3)) ### Axiom % 0.19/0.40 10. (big_f T_0 T_3) (-. (big_f T_0 T_3)) ### Axiom % 0.19/0.40 11. (big_f T_1 T_0) (-. (big_f T_1 T_0)) ### Axiom % 0.19/0.40 12. (-. ((big_f T_1 T_3) => (big_f T_1 T_0))) (big_f T_1 T_0) ### NotImply 11 % 0.19/0.40 13. (-. ((big_f T_0 T_3) /\ ((big_f T_1 T_3) => (big_f T_1 T_0)))) (big_f T_1 T_0) (big_f T_0 T_3) ### NotAnd 10 12 % 0.19/0.40 14. (-. ((big_f T_0 T_3) <=> ((big_f T_0 T_3) /\ ((big_f T_1 T_3) => (big_f T_1 T_0))))) (big_f T_1 T_0) (big_f T_0 T_3) ### NotEquiv 9 13 % 0.19/0.40 15. ((big_f T_0 T_3) <=> (big_f T_3 T_0)) (big_f T_1 T_0) (-. ((big_f T_0 T_3) <=> ((big_f T_0 T_3) /\ ((big_f T_1 T_3) => (big_f T_1 T_0))))) ### Equiv 8 14 % 0.19/0.40 16. (-. (((big_f T_0 T_3) <=> (big_f T_3 T_0)) => ((big_f T_0 T_3) <=> ((big_f T_0 T_3) /\ ((big_f T_1 T_3) => (big_f T_1 T_0)))))) (big_f T_1 T_0) ### NotImply 15 % 0.19/0.40 17. (-. (All Z, (((big_f T_0 Z) <=> (big_f Z T_0)) => ((big_f T_0 Z) <=> ((big_f T_0 Z) /\ ((big_f T_1 Z) => (big_f T_1 T_0))))))) (big_f T_1 T_0) ### NotAllEx 16 % 0.19/0.40 18. (-. (Ex Y2, (All Z, (((big_f T_0 Z) <=> (big_f Z T_0)) => ((big_f T_0 Z) <=> ((big_f Y2 Z) /\ ((big_f T_1 Z) => (big_f T_1 Y2)))))))) (big_f T_1 T_0) ### NotExists 17 % 0.19/0.40 19. (-. (Ex Y1, (Ex Y2, (All Z, (((big_f T_0 Z) <=> (big_f Z T_0)) => ((big_f T_0 Z) <=> ((big_f Y2 Z) /\ ((big_f Y1 Z) => (big_f Y1 Y2))))))))) (big_f T_1 T_0) ### NotExists 18 % 0.19/0.40 20. ((big_f T_0 T_1) <=> (big_f T_1 T_0)) (-. (Ex Y1, (Ex Y2, (All Z, (((big_f T_0 Z) <=> (big_f Z T_0)) => ((big_f T_0 Z) <=> ((big_f Y2 Z) /\ ((big_f Y1 Z) => (big_f Y1 Y2))))))))) (-. ((big_f T_0 T_1) <=> ((big_f T_0 T_1) /\ ((big_f zenon_X2 T_1) => (big_f zenon_X2 T_0))))) ### Equiv 4 19 % 0.19/0.40 21. (-. (((big_f T_0 T_1) <=> (big_f T_1 T_0)) => ((big_f T_0 T_1) <=> ((big_f T_0 T_1) /\ ((big_f zenon_X2 T_1) => (big_f zenon_X2 T_0)))))) (-. (Ex Y1, (Ex Y2, (All Z, (((big_f T_0 Z) <=> (big_f Z T_0)) => ((big_f T_0 Z) <=> ((big_f Y2 Z) /\ ((big_f Y1 Z) => (big_f Y1 Y2))))))))) ### NotImply 20 % 0.19/0.40 22. (-. (All Z, (((big_f T_0 Z) <=> (big_f Z T_0)) => ((big_f T_0 Z) <=> ((big_f T_0 Z) /\ ((big_f zenon_X2 Z) => (big_f zenon_X2 T_0))))))) (-. (Ex Y1, (Ex Y2, (All Z, (((big_f T_0 Z) <=> (big_f Z T_0)) => ((big_f T_0 Z) <=> ((big_f Y2 Z) /\ ((big_f Y1 Z) => (big_f Y1 Y2))))))))) ### NotAllEx 21 % 0.19/0.40 23. (-. (Ex Y2, (All Z, (((big_f T_0 Z) <=> (big_f Z T_0)) => ((big_f T_0 Z) <=> ((big_f Y2 Z) /\ ((big_f zenon_X2 Z) => (big_f zenon_X2 Y2)))))))) (-. (Ex Y1, (Ex Y2, (All Z, (((big_f T_0 Z) <=> (big_f Z T_0)) => ((big_f T_0 Z) <=> ((big_f Y2 Z) /\ ((big_f Y1 Z) => (big_f Y1 Y2))))))))) ### NotExists 22 % 0.19/0.40 24. (-. (Ex Y1, (Ex Y2, (All Z, (((big_f T_0 Z) <=> (big_f Z T_0)) => ((big_f T_0 Z) <=> ((big_f Y2 Z) /\ ((big_f Y1 Z) => (big_f Y1 Y2))))))))) ### NotExists 23 % 0.19/0.40 25. (-. (All X, (Ex Y1, (Ex Y2, (All Z, (((big_f X Z) <=> (big_f Z X)) => ((big_f X Z) <=> ((big_f Y2 Z) /\ ((big_f Y1 Z) => (big_f Y1 Y2)))))))))) ### NotAllEx 24 % 0.19/0.40 % SZS output end Proof % 0.19/0.40 (* END-PROOF *) %------------------------------------------------------------------------------