%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SYN354+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 : n019.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 12:42:55 EDT 2022 % Result : Theorem 0.18s 0.40s % Output : Proof 0.18s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SYN354+1 : TPTP v8.1.0. Released v2.0.0. % 0.07/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.11/0.33 % Computer : n019.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 : Tue Jul 12 07:18:23 EDT 2022 % 0.11/0.33 % CPUTime : % 0.18/0.40 % SZS status Theorem % 0.18/0.40 (* PROOF-FOUND *) % 0.18/0.40 (* BEGIN-PROOF *) % 0.18/0.40 % SZS output start Proof % 0.18/0.40 1. (big_g T_0 T_1) (-. (big_g T_0 T_1)) ### Axiom % 0.18/0.40 2. (-. (big_g T_0 T_1)) (big_g T_0 T_1) ### Axiom % 0.18/0.40 3. (-. ((big_g T_0 T_1) <=> (big_g T_0 T_1))) ### NotEquiv 1 2 % 0.18/0.40 4. (big_f T_2 T_0) (-. (big_f T_2 T_0)) ### Axiom % 0.18/0.40 5. (big_f T_2 T_0) (-. (big_f T_2 T_0)) ### Axiom % 0.18/0.40 6. (big_f T_0 T_0) (-. (big_f T_0 T_0)) ### Axiom % 0.18/0.40 7. (big_f T_0 T_0) (-. (big_f T_0 T_0)) ### Axiom % 0.18/0.40 8. (-. ((big_f T_2 T_0) /\ ((big_f T_0 T_0) /\ (big_f T_0 T_0)))) (big_f T_0 T_0) (big_f T_2 T_0) ### DisjTree 5 6 7 % 0.18/0.40 9. (-. ((big_f T_2 T_0) => ((big_g T_2 T_0) => ((((big_g T_0 T_3) <=> (big_g T_0 T_3)) => ((big_f T_0 T_0) => (big_f T_0 T_0))) => (((big_g T_0 T_3) <=> (big_g T_0 T_3)) => ((big_f T_2 T_0) /\ ((big_f T_0 T_0) /\ (big_f T_0 T_0)))))))) (big_f T_2 T_0) (big_f T_0 T_0) ### ConjTree 8 % 0.18/0.40 10. (-. (All Z, ((big_f T_2 T_0) => ((big_g T_2 T_0) => ((((big_g T_0 Z) <=> (big_g T_0 Z)) => ((big_f T_0 T_0) => (big_f T_0 T_0))) => (((big_g T_0 Z) <=> (big_g T_0 Z)) => ((big_f T_2 T_0) /\ ((big_f T_0 T_0) /\ (big_f T_0 T_0))))))))) (big_f T_0 T_0) (big_f T_2 T_0) ### NotAllEx 9 % 0.18/0.40 11. (-. (Ex Y2, (All Z, ((big_f T_2 T_0) => ((big_g T_2 T_0) => ((((big_g T_0 Z) <=> (big_g Y2 Z)) => ((big_f T_0 Y2) => (big_f T_0 Y2))) => (((big_g T_0 Z) <=> (big_g T_0 Z)) => ((big_f T_2 T_0) /\ ((big_f T_0 T_0) /\ (big_f T_0 Y2)))))))))) (big_f T_2 T_0) (big_f T_0 T_0) ### NotExists 10 % 0.18/0.40 12. (-. (Ex Y1, (Ex Y2, (All Z, ((big_f T_2 T_0) => ((big_g T_2 T_0) => ((((big_g T_0 Z) <=> (big_g Y2 Z)) => ((big_f Y1 Y2) => (big_f T_0 Y2))) => (((big_g T_0 Z) <=> (big_g Y1 Z)) => ((big_f T_2 Y1) /\ ((big_f T_0 Y1) /\ (big_f Y1 Y2))))))))))) (big_f T_0 T_0) (big_f T_2 T_0) ### NotExists 11 % 0.18/0.40 13. (((big_g T_0 T_1) <=> (big_g T_0 T_1)) => ((big_f T_2 T_0) => (big_f T_0 T_0))) (-. (Ex Y1, (Ex Y2, (All Z, ((big_f T_2 T_0) => ((big_g T_2 T_0) => ((((big_g T_0 Z) <=> (big_g Y2 Z)) => ((big_f Y1 Y2) => (big_f T_0 Y2))) => (((big_g T_0 Z) <=> (big_g Y1 Z)) => ((big_f T_2 Y1) /\ ((big_f T_0 Y1) /\ (big_f Y1 Y2))))))))))) (big_f T_2 T_0) ### DisjTree 3 4 12 % 0.18/0.40 14. (-. ((big_f T_2 T_0) => ((big_g T_2 T_0) => ((((big_g T_0 T_1) <=> (big_g T_0 T_1)) => ((big_f T_2 T_0) => (big_f T_0 T_0))) => (((big_g T_0 T_1) <=> (big_g T_2 T_1)) => ((big_f T_2 T_2) /\ ((big_f T_0 T_2) /\ (big_f T_2 T_0)))))))) (big_f T_2 T_0) (-. (Ex Y1, (Ex Y2, (All Z, ((big_f T_2 T_0) => ((big_g T_2 T_0) => ((((big_g T_0 Z) <=> (big_g Y2 Z)) => ((big_f Y1 Y2) => (big_f T_0 Y2))) => (((big_g T_0 Z) <=> (big_g Y1 Z)) => ((big_f T_2 Y1) /\ ((big_f T_0 Y1) /\ (big_f Y1 Y2))))))))))) ### ConjTree 13 % 0.18/0.40 15. (-. (All Z, ((big_f T_2 T_0) => ((big_g T_2 T_0) => ((((big_g T_0 Z) <=> (big_g T_0 Z)) => ((big_f T_2 T_0) => (big_f T_0 T_0))) => (((big_g T_0 Z) <=> (big_g T_2 Z)) => ((big_f T_2 T_2) /\ ((big_f T_0 T_2) /\ (big_f T_2 T_0))))))))) (-. (Ex Y1, (Ex Y2, (All Z, ((big_f T_2 T_0) => ((big_g T_2 T_0) => ((((big_g T_0 Z) <=> (big_g Y2 Z)) => ((big_f Y1 Y2) => (big_f T_0 Y2))) => (((big_g T_0 Z) <=> (big_g Y1 Z)) => ((big_f T_2 Y1) /\ ((big_f T_0 Y1) /\ (big_f Y1 Y2))))))))))) (big_f T_2 T_0) ### NotAllEx 14 % 0.18/0.40 16. (-. (Ex Y2, (All Z, ((big_f T_2 T_0) => ((big_g T_2 T_0) => ((((big_g T_0 Z) <=> (big_g Y2 Z)) => ((big_f T_2 Y2) => (big_f T_0 Y2))) => (((big_g T_0 Z) <=> (big_g T_2 Z)) => ((big_f T_2 T_2) /\ ((big_f T_0 T_2) /\ (big_f T_2 Y2)))))))))) (big_f T_2 T_0) (-. (Ex Y1, (Ex Y2, (All Z, ((big_f T_2 T_0) => ((big_g T_2 T_0) => ((((big_g T_0 Z) <=> (big_g Y2 Z)) => ((big_f Y1 Y2) => (big_f T_0 Y2))) => (((big_g T_0 Z) <=> (big_g Y1 Z)) => ((big_f T_2 Y1) /\ ((big_f T_0 Y1) /\ (big_f Y1 Y2))))))))))) ### NotExists 15 % 0.18/0.40 17. (-. (Ex Y1, (Ex Y2, (All Z, ((big_f T_2 T_0) => ((big_g T_2 T_0) => ((((big_g T_0 Z) <=> (big_g Y2 Z)) => ((big_f Y1 Y2) => (big_f T_0 Y2))) => (((big_g T_0 Z) <=> (big_g Y1 Z)) => ((big_f T_2 Y1) /\ ((big_f T_0 Y1) /\ (big_f Y1 Y2))))))))))) (big_f T_2 T_0) ### NotExists 16 % 0.18/0.40 18. (-. ((big_f T_2 T_0) => ((big_g T_2 T_0) => ((((big_g T_0 T_4) <=> (big_g zenon_X5 T_4)) => ((big_f zenon_X6 zenon_X5) => (big_f T_0 zenon_X5))) => (((big_g T_0 T_4) <=> (big_g zenon_X6 T_4)) => ((big_f T_2 zenon_X6) /\ ((big_f T_0 zenon_X6) /\ (big_f zenon_X6 zenon_X5)))))))) (-. (Ex Y1, (Ex Y2, (All Z, ((big_f T_2 T_0) => ((big_g T_2 T_0) => ((((big_g T_0 Z) <=> (big_g Y2 Z)) => ((big_f Y1 Y2) => (big_f T_0 Y2))) => (((big_g T_0 Z) <=> (big_g Y1 Z)) => ((big_f T_2 Y1) /\ ((big_f T_0 Y1) /\ (big_f Y1 Y2))))))))))) ### ConjTree 17 % 0.18/0.40 19. (-. (All Z, ((big_f T_2 T_0) => ((big_g T_2 T_0) => ((((big_g T_0 Z) <=> (big_g zenon_X5 Z)) => ((big_f zenon_X6 zenon_X5) => (big_f T_0 zenon_X5))) => (((big_g T_0 Z) <=> (big_g zenon_X6 Z)) => ((big_f T_2 zenon_X6) /\ ((big_f T_0 zenon_X6) /\ (big_f zenon_X6 zenon_X5))))))))) (-. (Ex Y1, (Ex Y2, (All Z, ((big_f T_2 T_0) => ((big_g T_2 T_0) => ((((big_g T_0 Z) <=> (big_g Y2 Z)) => ((big_f Y1 Y2) => (big_f T_0 Y2))) => (((big_g T_0 Z) <=> (big_g Y1 Z)) => ((big_f T_2 Y1) /\ ((big_f T_0 Y1) /\ (big_f Y1 Y2))))))))))) ### NotAllEx 18 % 0.18/0.40 20. (-. (Ex Y2, (All Z, ((big_f T_2 T_0) => ((big_g T_2 T_0) => ((((big_g T_0 Z) <=> (big_g Y2 Z)) => ((big_f zenon_X6 Y2) => (big_f T_0 Y2))) => (((big_g T_0 Z) <=> (big_g zenon_X6 Z)) => ((big_f T_2 zenon_X6) /\ ((big_f T_0 zenon_X6) /\ (big_f zenon_X6 Y2)))))))))) (-. (Ex Y1, (Ex Y2, (All Z, ((big_f T_2 T_0) => ((big_g T_2 T_0) => ((((big_g T_0 Z) <=> (big_g Y2 Z)) => ((big_f Y1 Y2) => (big_f T_0 Y2))) => (((big_g T_0 Z) <=> (big_g Y1 Z)) => ((big_f T_2 Y1) /\ ((big_f T_0 Y1) /\ (big_f Y1 Y2))))))))))) ### NotExists 19 % 0.18/0.40 21. (-. (Ex Y1, (Ex Y2, (All Z, ((big_f T_2 T_0) => ((big_g T_2 T_0) => ((((big_g T_0 Z) <=> (big_g Y2 Z)) => ((big_f Y1 Y2) => (big_f T_0 Y2))) => (((big_g T_0 Z) <=> (big_g Y1 Z)) => ((big_f T_2 Y1) /\ ((big_f T_0 Y1) /\ (big_f Y1 Y2))))))))))) ### NotExists 20 % 0.18/0.40 22. (-. (All X2, (Ex Y1, (Ex Y2, (All Z, ((big_f T_2 X2) => ((big_g T_2 X2) => ((((big_g X2 Z) <=> (big_g Y2 Z)) => ((big_f Y1 Y2) => (big_f X2 Y2))) => (((big_g X2 Z) <=> (big_g Y1 Z)) => ((big_f T_2 Y1) /\ ((big_f X2 Y1) /\ (big_f Y1 Y2)))))))))))) ### NotAllEx 21 % 0.18/0.40 23. (-. (All X1, (All X2, (Ex Y1, (Ex Y2, (All Z, ((big_f X1 X2) => ((big_g X1 X2) => ((((big_g X2 Z) <=> (big_g Y2 Z)) => ((big_f Y1 Y2) => (big_f X2 Y2))) => (((big_g X2 Z) <=> (big_g Y1 Z)) => ((big_f X1 Y1) /\ ((big_f X2 Y1) /\ (big_f Y1 Y2))))))))))))) ### NotAllEx 22 % 0.18/0.40 % SZS output end Proof % 0.18/0.40 (* END-PROOF *) %------------------------------------------------------------------------------