%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SYN321+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 : n026.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 12:42:31 EDT 2022 % Result : Theorem 0.19s 0.39s % Output : Proof 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SYN321+1 : TPTP v8.1.0. Released v2.0.0. % 0.03/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.12/0.33 % Computer : n026.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 : Tue Jul 12 02:43:27 EDT 2022 % 0.12/0.33 % CPUTime : % 0.19/0.39 % SZS status Theorem % 0.19/0.39 (* PROOF-FOUND *) % 0.19/0.39 (* BEGIN-PROOF *) % 0.19/0.39 % SZS output start Proof % 0.19/0.39 1. (big_g zenon_X0 zenon_X0) (-. (big_g zenon_X0 zenon_X0)) ### Axiom % 0.19/0.39 2. (-. (big_f zenon_X0 zenon_X1)) (big_f zenon_X0 zenon_X1) ### Axiom % 0.19/0.39 3. ((big_g zenon_X0 zenon_X0) => (big_f zenon_X0 zenon_X1)) (-. (big_f zenon_X0 zenon_X1)) (big_g zenon_X0 zenon_X0) ### Imply 1 2 % 0.19/0.39 4. (All Z, ((big_g Z Z) => (big_f Z zenon_X1))) (big_g zenon_X0 zenon_X0) (-. (big_f zenon_X0 zenon_X1)) ### All 3 % 0.19/0.39 5. (All Z, (big_g zenon_X0 Z)) (-. (big_f zenon_X0 zenon_X1)) (All Z, ((big_g Z Z) => (big_f Z zenon_X1))) ### All 4 % 0.19/0.39 6. (big_f zenon_X0 zenon_X1) (-. (big_f zenon_X0 zenon_X1)) ### Axiom % 0.19/0.39 7. (-. (Ex Z, (big_f zenon_X0 Z))) (big_f zenon_X0 zenon_X1) ### NotExists 6 % 0.19/0.39 8. (-. ((big_f zenon_X0 zenon_X1) <=> (All Z, (big_g zenon_X0 Z)))) (-. (Ex Z, (big_f zenon_X0 Z))) (All Z, ((big_g Z Z) => (big_f Z zenon_X1))) ### NotEquiv 5 7 % 0.19/0.39 9. (All Z, (big_g zenon_X0 Z)) (-. (All Z, (big_g zenon_X0 Z))) ### Axiom % 0.19/0.39 10. (-. ((big_f zenon_X0 zenon_X1) <=> (All Z, (big_g zenon_X0 Z)))) (All Z, ((big_g Z Z) => (big_f Z zenon_X1))) (All Z, (big_g zenon_X0 Z)) ### NotEquiv 5 9 % 0.19/0.39 11. ((Ex Z, (big_f zenon_X0 Z)) => (All Z, (big_g zenon_X0 Z))) (All Z, ((big_g Z Z) => (big_f Z zenon_X1))) (-. ((big_f zenon_X0 zenon_X1) <=> (All Z, (big_g zenon_X0 Z)))) ### Imply 8 10 % 0.19/0.39 12. (-. (((Ex Z, (big_f zenon_X0 Z)) => (All Z, (big_g zenon_X0 Z))) => ((All Z, ((big_g Z Z) => (big_f Z zenon_X1))) => ((big_f zenon_X0 zenon_X1) <=> (All Z, (big_g zenon_X0 Z)))))) ### ConjTree 11 % 0.19/0.39 13. (-. (Ex Y, (((Ex Z, (big_f zenon_X0 Z)) => (All Z, (big_g zenon_X0 Z))) => ((All Z, ((big_g Z Z) => (big_f Z Y))) => ((big_f zenon_X0 Y) <=> (All Z, (big_g zenon_X0 Z))))))) ### NotExists 12 % 0.19/0.39 14. (-. (Ex X, (Ex Y, (((Ex Z, (big_f X Z)) => (All Z, (big_g X Z))) => ((All Z, ((big_g Z Z) => (big_f Z Y))) => ((big_f X Y) <=> (All Z, (big_g X Z)))))))) ### NotExists 13 % 0.19/0.39 % SZS output end Proof % 0.19/0.39 (* END-PROOF *) %------------------------------------------------------------------------------