%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SYN331+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 : n010.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 12:42:39 EDT 2022 % Result : Theorem 1.11s 1.27s % Output : Proof 1.11s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.14 % Problem : SYN331+1 : TPTP v8.1.0. Released v2.0.0. % 0.03/0.14 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.15/0.36 % Computer : n010.cluster.edu % 0.15/0.36 % Model : x86_64 x86_64 % 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.36 % Memory : 8042.1875MB % 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.36 % CPULimit : 300 % 0.15/0.36 % WCLimit : 600 % 0.15/0.36 % DateTime : Mon Jul 11 19:49:00 EDT 2022 % 0.15/0.36 % CPUTime : % 1.11/1.27 % SZS status Theorem % 1.11/1.27 (* PROOF-FOUND *) % 1.11/1.27 (* BEGIN-PROOF *) % 1.11/1.27 % SZS output start Proof % 1.11/1.27 1. (-. (big_f T_0 T_0)) (big_f T_0 T_0) ### Axiom % 1.11/1.27 2. (-. (big_f T_1 T_1)) (big_f T_1 T_1) ### Axiom % 1.11/1.27 3. ((big_f T_0 T_0) \/ (big_f T_1 T_1)) (-. (big_f T_1 T_1)) (-. (big_f T_0 T_0)) ### Or 1 2 % 1.11/1.27 4. (-. (big_f T_0 T_0)) (big_f T_0 T_0) ### Axiom % 1.11/1.27 5. ((big_f T_0 T_0) <=> (big_f T_1 T_1)) (-. (big_f T_0 T_0)) ((big_f T_0 T_0) \/ (big_f T_1 T_1)) ### Equiv 3 4 % 1.11/1.27 6. (-. ((big_f T_0 T_1) => ((big_f T_0 T_1) => (((big_f T_0 T_0) <=> (big_f T_1 T_1)) => (((big_f T_0 T_0) \/ (big_f T_1 T_1)) => ((big_f T_1 T_0) \/ (big_f T_1 T_0))))))) (-. (big_f T_0 T_0)) ### ConjTree 5 % 1.11/1.27 7. (-. (All Z, ((big_f T_0 Z) => ((big_f T_0 Z) => (((big_f T_0 T_0) <=> (big_f Z Z)) => (((big_f T_0 T_0) \/ (big_f Z Z)) => ((big_f Z T_0) \/ (big_f Z T_0)))))))) (-. (big_f T_0 T_0)) ### NotAllEx 6 % 1.11/1.27 8. (-. (Ex Y, (All Z, ((big_f T_0 Z) => ((big_f Y Z) => (((big_f T_0 Y) <=> (big_f Z Z)) => (((big_f Y T_0) \/ (big_f Z Z)) => ((big_f Z T_0) \/ (big_f Z Y))))))))) (-. (big_f T_0 T_0)) ### NotExists 7 % 1.11/1.27 9. (-. (Ex X, (Ex Y, (All Z, ((big_f X Z) => ((big_f Y Z) => (((big_f X Y) <=> (big_f Z Z)) => (((big_f Y X) \/ (big_f Z Z)) => ((big_f Z X) \/ (big_f Z Y)))))))))) (-. (big_f T_0 T_0)) ### NotExists 8 % 1.11/1.27 10. (-. (big_f T_2 zenon_X3)) (big_f T_2 zenon_X3) ### Axiom % 1.11/1.27 11. ((big_f T_2 zenon_X3) <=> (big_f T_0 T_0)) (-. (big_f T_2 zenon_X3)) (-. (Ex X, (Ex Y, (All Z, ((big_f X Z) => ((big_f Y Z) => (((big_f X Y) <=> (big_f Z Z)) => (((big_f Y X) \/ (big_f Z Z)) => ((big_f Z X) \/ (big_f Z Y)))))))))) ### Equiv 9 10 % 1.11/1.27 12. (-. ((big_f T_2 T_0) => ((big_f zenon_X3 T_0) => (((big_f T_2 zenon_X3) <=> (big_f T_0 T_0)) => (((big_f zenon_X3 T_2) \/ (big_f T_0 T_0)) => ((big_f T_0 T_2) \/ (big_f T_0 zenon_X3))))))) (-. (Ex X, (Ex Y, (All Z, ((big_f X Z) => ((big_f Y Z) => (((big_f X Y) <=> (big_f Z Z)) => (((big_f Y X) \/ (big_f Z Z)) => ((big_f Z X) \/ (big_f Z Y)))))))))) (-. (big_f T_2 zenon_X3)) ### ConjTree 11 % 1.11/1.27 13. (-. (All Z, ((big_f T_2 Z) => ((big_f zenon_X3 Z) => (((big_f T_2 zenon_X3) <=> (big_f Z Z)) => (((big_f zenon_X3 T_2) \/ (big_f Z Z)) => ((big_f Z T_2) \/ (big_f Z zenon_X3)))))))) (-. (big_f T_2 zenon_X3)) (-. (Ex X, (Ex Y, (All Z, ((big_f X Z) => ((big_f Y Z) => (((big_f X Y) <=> (big_f Z Z)) => (((big_f Y X) \/ (big_f Z Z)) => ((big_f Z X) \/ (big_f Z Y)))))))))) ### NotAllEx 12 % 1.11/1.27 14. (-. (Ex Y, (All Z, ((big_f T_2 Z) => ((big_f Y Z) => (((big_f T_2 Y) <=> (big_f Z Z)) => (((big_f Y T_2) \/ (big_f Z Z)) => ((big_f Z T_2) \/ (big_f Z Y))))))))) (-. (Ex X, (Ex Y, (All Z, ((big_f X Z) => ((big_f Y Z) => (((big_f X Y) <=> (big_f Z Z)) => (((big_f Y X) \/ (big_f Z Z)) => ((big_f Z X) \/ (big_f Z Y)))))))))) (-. (big_f T_2 zenon_X3)) ### NotExists 13 % 1.11/1.27 15. (-. (big_f T_2 zenon_X3)) (-. (Ex X, (Ex Y, (All Z, ((big_f X Z) => ((big_f Y Z) => (((big_f X Y) <=> (big_f Z Z)) => (((big_f Y X) \/ (big_f Z Z)) => ((big_f Z X) \/ (big_f Z Y)))))))))) ### NotExists 14 % 1.11/1.27 16. (-. ((big_f zenon_X3 T_2) => ((big_f zenon_X3 T_2) => (((big_f zenon_X3 zenon_X3) <=> (big_f T_2 T_2)) => (((big_f zenon_X3 zenon_X3) \/ (big_f T_2 T_2)) => ((big_f T_2 zenon_X3) \/ (big_f T_2 zenon_X3))))))) (-. (Ex X, (Ex Y, (All Z, ((big_f X Z) => ((big_f Y Z) => (((big_f X Y) <=> (big_f Z Z)) => (((big_f Y X) \/ (big_f Z Z)) => ((big_f Z X) \/ (big_f Z Y)))))))))) ### ConjTree 15 % 1.11/1.27 17. (-. (All Z, ((big_f zenon_X3 Z) => ((big_f zenon_X3 Z) => (((big_f zenon_X3 zenon_X3) <=> (big_f Z Z)) => (((big_f zenon_X3 zenon_X3) \/ (big_f Z Z)) => ((big_f Z zenon_X3) \/ (big_f Z zenon_X3)))))))) (-. (Ex X, (Ex Y, (All Z, ((big_f X Z) => ((big_f Y Z) => (((big_f X Y) <=> (big_f Z Z)) => (((big_f Y X) \/ (big_f Z Z)) => ((big_f Z X) \/ (big_f Z Y)))))))))) ### NotAllEx 16 % 1.11/1.27 18. (-. (Ex Y, (All Z, ((big_f zenon_X3 Z) => ((big_f Y Z) => (((big_f zenon_X3 Y) <=> (big_f Z Z)) => (((big_f Y zenon_X3) \/ (big_f Z Z)) => ((big_f Z zenon_X3) \/ (big_f Z Y))))))))) (-. (Ex X, (Ex Y, (All Z, ((big_f X Z) => ((big_f Y Z) => (((big_f X Y) <=> (big_f Z Z)) => (((big_f Y X) \/ (big_f Z Z)) => ((big_f Z X) \/ (big_f Z Y)))))))))) ### NotExists 17 % 1.11/1.27 19. (-. (Ex X, (Ex Y, (All Z, ((big_f X Z) => ((big_f Y Z) => (((big_f X Y) <=> (big_f Z Z)) => (((big_f Y X) \/ (big_f Z Z)) => ((big_f Z X) \/ (big_f Z Y)))))))))) ### NotExists 18 % 1.11/1.27 % SZS output end Proof % 1.11/1.27 (* END-PROOF *) %------------------------------------------------------------------------------