%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SYN352+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 : n016.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 12:42:54 EDT 2022 % Result : Theorem 0.12s 0.41s % Output : Proof 0.12s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : SYN352+1 : TPTP v8.1.0. Released v2.0.0. % 0.11/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.12/0.33 % Computer : n016.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 17:09:13 EDT 2022 % 0.12/0.33 % CPUTime : % 0.12/0.41 % SZS status Theorem % 0.12/0.41 (* PROOF-FOUND *) % 0.12/0.41 (* BEGIN-PROOF *) % 0.12/0.41 % SZS output start Proof % 0.12/0.41 1. (-. (big_f T_0 T_0)) (big_f T_0 T_0) ### Axiom % 0.12/0.41 2. (-. ((big_f T_0 T_0) => ((big_f T_0 T_1) <=> (big_f T_0 T_1)))) (-. (big_f T_0 T_0)) ### NotImply 1 % 0.12/0.41 3. (big_f T_1 T_1) (-. (big_f T_1 T_1)) ### Axiom % 0.12/0.41 4. (big_f T_1 T_2) (-. (big_f T_1 T_2)) ### Axiom % 0.12/0.41 5. (-. (big_f T_1 T_2)) (big_f T_1 T_2) ### Axiom % 0.12/0.41 6. (-. ((big_f T_1 T_2) <=> (big_f T_1 T_2))) ### NotEquiv 4 5 % 0.12/0.41 7. (-. ((big_f T_1 T_1) /\ ((big_f T_1 T_2) <=> (big_f T_1 T_2)))) (big_f T_1 T_1) ### NotAnd 3 6 % 0.12/0.41 8. (-. ((big_f T_3 T_0) => (((big_f T_1 T_1) => ((big_f T_0 T_2) \/ (big_f T_1 T_2))) => ((((big_f T_1 T_1) => ((big_f T_0 T_2) <=> (big_f T_1 T_2))) => (big_f T_2 T_2)) => ((big_f T_1 T_1) /\ ((big_f T_1 T_2) <=> (big_f T_1 T_2))))))) (big_f T_1 T_1) ### ConjTree 7 % 0.12/0.41 9. (-. (All Z, ((big_f T_3 T_0) => (((big_f T_1 T_1) => ((big_f T_0 Z) \/ (big_f T_1 Z))) => ((((big_f T_1 T_1) => ((big_f T_0 Z) <=> (big_f T_1 Z))) => (big_f Z Z)) => ((big_f T_1 T_1) /\ ((big_f T_1 Z) <=> (big_f T_1 Z)))))))) (big_f T_1 T_1) ### NotAllEx 8 % 0.12/0.41 10. (-. (Ex Y2, (All Z, ((big_f T_3 T_0) => (((big_f T_1 Y2) => ((big_f T_0 Z) \/ (big_f Y2 Z))) => ((((big_f T_1 Y2) => ((big_f T_0 Z) <=> (big_f T_1 Z))) => (big_f Z Z)) => ((big_f T_1 Y2) /\ ((big_f T_1 Z) <=> (big_f Y2 Z))))))))) (big_f T_1 T_1) ### NotExists 9 % 0.12/0.41 11. (-. (Ex Y1, (Ex Y2, (All Z, ((big_f T_3 T_0) => (((big_f Y1 Y2) => ((big_f T_0 Z) \/ (big_f Y2 Z))) => ((((big_f Y1 Y2) => ((big_f T_0 Z) <=> (big_f Y1 Z))) => (big_f Z Z)) => ((big_f Y1 Y2) /\ ((big_f Y1 Z) <=> (big_f Y2 Z)))))))))) (big_f T_1 T_1) ### NotExists 10 % 0.12/0.41 12. (((big_f T_0 T_0) => ((big_f T_0 T_1) <=> (big_f T_0 T_1))) => (big_f T_1 T_1)) (-. (Ex Y1, (Ex Y2, (All Z, ((big_f T_3 T_0) => (((big_f Y1 Y2) => ((big_f T_0 Z) \/ (big_f Y2 Z))) => ((((big_f Y1 Y2) => ((big_f T_0 Z) <=> (big_f Y1 Z))) => (big_f Z Z)) => ((big_f Y1 Y2) /\ ((big_f Y1 Z) <=> (big_f Y2 Z)))))))))) (-. (big_f T_0 T_0)) ### Imply 2 11 % 0.12/0.41 13. (big_f T_0 T_1) (-. (big_f T_0 T_1)) ### Axiom % 0.12/0.41 14. (big_f T_0 T_1) (-. (big_f T_0 T_1)) ### Axiom % 0.12/0.41 15. (-. ((big_f T_0 T_1) <=> (big_f T_0 T_1))) (big_f T_0 T_1) ### NotEquiv 13 14 % 0.12/0.41 16. (-. ((big_f T_0 T_0) => ((big_f T_0 T_1) <=> (big_f T_0 T_1)))) (big_f T_0 T_1) ### NotImply 15 % 0.12/0.41 17. (((big_f T_0 T_0) => ((big_f T_0 T_1) <=> (big_f T_0 T_1))) => (big_f T_1 T_1)) (-. (Ex Y1, (Ex Y2, (All Z, ((big_f T_3 T_0) => (((big_f Y1 Y2) => ((big_f T_0 Z) \/ (big_f Y2 Z))) => ((((big_f Y1 Y2) => ((big_f T_0 Z) <=> (big_f Y1 Z))) => (big_f Z Z)) => ((big_f Y1 Y2) /\ ((big_f Y1 Z) <=> (big_f Y2 Z)))))))))) (big_f T_0 T_1) ### Imply 16 11 % 0.12/0.41 18. ((big_f T_0 T_0) => ((big_f T_0 T_1) \/ (big_f T_0 T_1))) (-. (Ex Y1, (Ex Y2, (All Z, ((big_f T_3 T_0) => (((big_f Y1 Y2) => ((big_f T_0 Z) \/ (big_f Y2 Z))) => ((((big_f Y1 Y2) => ((big_f T_0 Z) <=> (big_f Y1 Z))) => (big_f Z Z)) => ((big_f Y1 Y2) /\ ((big_f Y1 Z) <=> (big_f Y2 Z)))))))))) (((big_f T_0 T_0) => ((big_f T_0 T_1) <=> (big_f T_0 T_1))) => (big_f T_1 T_1)) ### DisjTree 12 17 17 % 0.12/0.41 19. (-. ((big_f T_3 T_0) => (((big_f T_0 T_0) => ((big_f T_0 T_1) \/ (big_f T_0 T_1))) => ((((big_f T_0 T_0) => ((big_f T_0 T_1) <=> (big_f T_0 T_1))) => (big_f T_1 T_1)) => ((big_f T_0 T_0) /\ ((big_f T_0 T_1) <=> (big_f T_0 T_1))))))) (-. (Ex Y1, (Ex Y2, (All Z, ((big_f T_3 T_0) => (((big_f Y1 Y2) => ((big_f T_0 Z) \/ (big_f Y2 Z))) => ((((big_f Y1 Y2) => ((big_f T_0 Z) <=> (big_f Y1 Z))) => (big_f Z Z)) => ((big_f Y1 Y2) /\ ((big_f Y1 Z) <=> (big_f Y2 Z)))))))))) ### ConjTree 18 % 0.12/0.41 20. (-. (All Z, ((big_f T_3 T_0) => (((big_f T_0 T_0) => ((big_f T_0 Z) \/ (big_f T_0 Z))) => ((((big_f T_0 T_0) => ((big_f T_0 Z) <=> (big_f T_0 Z))) => (big_f Z Z)) => ((big_f T_0 T_0) /\ ((big_f T_0 Z) <=> (big_f T_0 Z)))))))) (-. (Ex Y1, (Ex Y2, (All Z, ((big_f T_3 T_0) => (((big_f Y1 Y2) => ((big_f T_0 Z) \/ (big_f Y2 Z))) => ((((big_f Y1 Y2) => ((big_f T_0 Z) <=> (big_f Y1 Z))) => (big_f Z Z)) => ((big_f Y1 Y2) /\ ((big_f Y1 Z) <=> (big_f Y2 Z)))))))))) ### NotAllEx 19 % 0.12/0.41 21. (-. (Ex Y2, (All Z, ((big_f T_3 T_0) => (((big_f T_0 Y2) => ((big_f T_0 Z) \/ (big_f Y2 Z))) => ((((big_f T_0 Y2) => ((big_f T_0 Z) <=> (big_f T_0 Z))) => (big_f Z Z)) => ((big_f T_0 Y2) /\ ((big_f T_0 Z) <=> (big_f Y2 Z))))))))) (-. (Ex Y1, (Ex Y2, (All Z, ((big_f T_3 T_0) => (((big_f Y1 Y2) => ((big_f T_0 Z) \/ (big_f Y2 Z))) => ((((big_f Y1 Y2) => ((big_f T_0 Z) <=> (big_f Y1 Z))) => (big_f Z Z)) => ((big_f Y1 Y2) /\ ((big_f Y1 Z) <=> (big_f Y2 Z)))))))))) ### NotExists 20 % 0.12/0.41 22. (-. (Ex Y1, (Ex Y2, (All Z, ((big_f T_3 T_0) => (((big_f Y1 Y2) => ((big_f T_0 Z) \/ (big_f Y2 Z))) => ((((big_f Y1 Y2) => ((big_f T_0 Z) <=> (big_f Y1 Z))) => (big_f Z Z)) => ((big_f Y1 Y2) /\ ((big_f Y1 Z) <=> (big_f Y2 Z)))))))))) ### NotExists 21 % 0.12/0.41 23. (-. (All X2, (Ex Y1, (Ex Y2, (All Z, ((big_f T_3 X2) => (((big_f Y1 Y2) => ((big_f X2 Z) \/ (big_f Y2 Z))) => ((((big_f Y1 Y2) => ((big_f X2 Z) <=> (big_f Y1 Z))) => (big_f Z Z)) => ((big_f Y1 Y2) /\ ((big_f Y1 Z) <=> (big_f Y2 Z))))))))))) ### NotAllEx 22 % 0.12/0.41 24. (-. (All X1, (All X2, (Ex Y1, (Ex Y2, (All Z, ((big_f X1 X2) => (((big_f Y1 Y2) => ((big_f X2 Z) \/ (big_f Y2 Z))) => ((((big_f Y1 Y2) => ((big_f X2 Z) <=> (big_f Y1 Z))) => (big_f Z Z)) => ((big_f Y1 Y2) /\ ((big_f Y1 Z) <=> (big_f Y2 Z)))))))))))) ### NotAllEx 23 % 0.12/0.41 % SZS output end Proof % 0.12/0.41 (* END-PROOF *) %------------------------------------------------------------------------------