%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SYN347+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 : n022.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 12:42:50 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 % 0.07/0.12 % Problem : SYN347+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 : n022.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 20:51:40 EDT 2022 % 0.12/0.33 % 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 T_0 T_1) ### Axiom % 0.19/0.40 3. (-. ((big_f T_0 T_1) <=> (big_f T_0 T_1))) ### NotEquiv 1 2 % 0.19/0.40 4. (big_f T_2 T_0) (-. (big_f T_2 T_0)) ### Axiom % 0.19/0.40 5. (-. (((big_f T_0 T_1) <=> (big_f T_0 T_1)) <=> (big_f T_2 T_0))) (big_f T_2 T_0) ### NotEquiv 3 4 % 0.19/0.40 6. (-. ((((big_f T_0 T_1) <=> (big_f T_0 T_1)) <=> (big_f T_2 T_0)) \/ ((big_f T_2 T_1) <=> (big_f T_0 T_1)))) (big_f T_2 T_0) ### NotOr 5 % 0.19/0.40 7. (-. (All Y, ((((big_f T_0 Y) <=> (big_f T_0 Y)) <=> (big_f T_2 T_0)) \/ ((big_f T_2 Y) <=> (big_f T_0 Y))))) (big_f T_2 T_0) ### NotAllEx 6 % 0.19/0.40 8. (-. (Ex X2, (All Y, ((((big_f T_0 Y) <=> (big_f X2 Y)) <=> (big_f T_2 T_0)) \/ ((big_f T_2 Y) <=> (big_f T_0 Y)))))) (big_f T_2 T_0) ### NotExists 7 % 0.19/0.40 9. (-. (Ex X1, (Ex X2, (All Y, ((((big_f X1 Y) <=> (big_f X2 Y)) <=> (big_f T_2 T_0)) \/ ((big_f T_2 Y) <=> (big_f T_0 Y))))))) (big_f T_2 T_0) ### NotExists 8 % 0.19/0.40 10. (-. (big_f T_2 T_0)) (big_f T_2 T_0) ### Axiom % 0.19/0.40 11. (-. (big_f T_0 T_3)) (big_f T_0 T_3) ### Axiom % 0.19/0.40 12. (-. (big_f T_2 T_3)) (big_f T_2 T_3) ### Axiom % 0.19/0.40 13. (-. ((big_f T_2 T_3) <=> (big_f T_0 T_3))) (-. (big_f T_2 T_3)) (-. (big_f T_0 T_3)) ### NotEquiv 11 12 % 0.19/0.40 14. (big_f T_2 T_3) (-. (big_f T_2 T_3)) ### Axiom % 0.19/0.40 15. (big_f T_0 T_3) (-. (big_f T_0 T_3)) ### Axiom % 0.19/0.40 16. (-. ((big_f T_2 T_3) <=> (big_f T_0 T_3))) (big_f T_0 T_3) (big_f T_2 T_3) ### NotEquiv 14 15 % 0.19/0.40 17. ((big_f T_0 T_3) <=> (big_f T_2 T_3)) (-. ((big_f T_2 T_3) <=> (big_f T_0 T_3))) ### Equiv 13 16 % 0.19/0.40 18. (-. (((big_f T_0 T_3) <=> (big_f T_2 T_3)) <=> (big_f T_2 T_0))) (-. ((big_f T_2 T_3) <=> (big_f T_0 T_3))) (-. (big_f T_2 T_0)) ### NotEquiv 10 17 % 0.19/0.40 19. (-. ((((big_f T_0 T_3) <=> (big_f T_2 T_3)) <=> (big_f T_2 T_0)) \/ ((big_f T_2 T_3) <=> (big_f T_0 T_3)))) (-. (big_f T_2 T_0)) ### NotOr 18 % 0.19/0.40 20. (-. (All Y, ((((big_f T_0 Y) <=> (big_f T_2 Y)) <=> (big_f T_2 T_0)) \/ ((big_f T_2 Y) <=> (big_f T_0 Y))))) (-. (big_f T_2 T_0)) ### NotAllEx 19 % 0.19/0.40 21. (-. (Ex X2, (All Y, ((((big_f T_0 Y) <=> (big_f X2 Y)) <=> (big_f T_2 T_0)) \/ ((big_f T_2 Y) <=> (big_f T_0 Y)))))) (-. (big_f T_2 T_0)) ### NotExists 20 % 0.19/0.40 22. (-. (Ex X1, (Ex X2, (All Y, ((((big_f X1 Y) <=> (big_f X2 Y)) <=> (big_f T_2 T_0)) \/ ((big_f T_2 Y) <=> (big_f T_0 Y))))))) (-. (big_f T_2 T_0)) ### NotExists 21 % 0.19/0.40 23. (-. (((big_f zenon_X4 T_5) <=> (big_f zenon_X6 T_5)) <=> (big_f T_2 T_0))) (-. (Ex X1, (Ex X2, (All Y, ((((big_f X1 Y) <=> (big_f X2 Y)) <=> (big_f T_2 T_0)) \/ ((big_f T_2 Y) <=> (big_f T_0 Y))))))) ### NotEquiv 9 22 % 0.19/0.40 24. (-. ((((big_f zenon_X4 T_5) <=> (big_f zenon_X6 T_5)) <=> (big_f T_2 T_0)) \/ ((big_f T_2 T_5) <=> (big_f T_0 T_5)))) (-. (Ex X1, (Ex X2, (All Y, ((((big_f X1 Y) <=> (big_f X2 Y)) <=> (big_f T_2 T_0)) \/ ((big_f T_2 Y) <=> (big_f T_0 Y))))))) ### NotOr 23 % 0.19/0.40 25. (-. (All Y, ((((big_f zenon_X4 Y) <=> (big_f zenon_X6 Y)) <=> (big_f T_2 T_0)) \/ ((big_f T_2 Y) <=> (big_f T_0 Y))))) (-. (Ex X1, (Ex X2, (All Y, ((((big_f X1 Y) <=> (big_f X2 Y)) <=> (big_f T_2 T_0)) \/ ((big_f T_2 Y) <=> (big_f T_0 Y))))))) ### NotAllEx 24 % 0.19/0.40 26. (-. (Ex X2, (All Y, ((((big_f zenon_X4 Y) <=> (big_f X2 Y)) <=> (big_f T_2 T_0)) \/ ((big_f T_2 Y) <=> (big_f T_0 Y)))))) (-. (Ex X1, (Ex X2, (All Y, ((((big_f X1 Y) <=> (big_f X2 Y)) <=> (big_f T_2 T_0)) \/ ((big_f T_2 Y) <=> (big_f T_0 Y))))))) ### NotExists 25 % 0.19/0.40 27. (-. (Ex X1, (Ex X2, (All Y, ((((big_f X1 Y) <=> (big_f X2 Y)) <=> (big_f T_2 T_0)) \/ ((big_f T_2 Y) <=> (big_f T_0 Y))))))) ### NotExists 26 % 0.19/0.40 28. (-. (All Z2, (Ex X1, (Ex X2, (All Y, ((((big_f X1 Y) <=> (big_f X2 Y)) <=> (big_f T_2 Z2)) \/ ((big_f T_2 Y) <=> (big_f Z2 Y)))))))) ### NotAllEx 27 % 0.19/0.40 29. (-. (All Z1, (All Z2, (Ex X1, (Ex X2, (All Y, ((((big_f X1 Y) <=> (big_f X2 Y)) <=> (big_f Z1 Z2)) \/ ((big_f Z1 Y) <=> (big_f Z2 Y))))))))) ### NotAllEx 28 % 0.19/0.40 % SZS output end Proof % 0.19/0.40 (* END-PROOF *) %------------------------------------------------------------------------------