%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : NUM458+1 : TPTP v8.1.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % Computer : n029.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 : Mon Jul 18 14:42:38 EDT 2022 % Result : Theorem 0.19s 0.41s % Output : Proof 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.12 % Problem : NUM458+1 : TPTP v8.1.0. Released v4.0.0. % 0.04/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.13/0.33 % Computer : n029.cluster.edu % 0.13/0.33 % Model : x86_64 x86_64 % 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.33 % Memory : 8042.1875MB % 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.33 % CPULimit : 300 % 0.13/0.33 % WCLimit : 600 % 0.13/0.33 % DateTime : Tue Jul 5 11:16:42 EDT 2022 % 0.13/0.33 % CPUTime : % 0.19/0.41 % SZS status Theorem % 0.19/0.41 (* PROOF-FOUND *) % 0.19/0.41 (* BEGIN-PROOF *) % 0.19/0.41 % SZS output start Proof % 0.19/0.41 1. (aNaturalNumber0 (xm)) (-. (aNaturalNumber0 (xm))) ### Axiom % 0.19/0.41 2. (aNaturalNumber0 (xm)) (-. (aNaturalNumber0 (xm))) ### Axiom % 0.19/0.41 3. (aNaturalNumber0 (xm)) (-. (aNaturalNumber0 (xm))) ### Axiom % 0.19/0.41 4. (aNaturalNumber0 (sz00)) (-. (aNaturalNumber0 (sz00))) ### Axiom % 0.19/0.41 5. ((sdtpldt0 (xm) (sz00)) = (xm)) ((sdtpldt0 (xm) (sz00)) != (xm)) ### Axiom % 0.19/0.41 6. (-. ((aNaturalNumber0 (sz00)) /\ ((sdtpldt0 (xm) (sz00)) = (xm)))) ((sdtpldt0 (xm) (sz00)) = (xm)) (aNaturalNumber0 (sz00)) ### NotAnd 4 5 % 0.19/0.41 7. (-. (Ex W2, ((aNaturalNumber0 W2) /\ ((sdtpldt0 (xm) W2) = (xm))))) (aNaturalNumber0 (sz00)) ((sdtpldt0 (xm) (sz00)) = (xm)) ### NotExists 6 % 0.19/0.41 8. (((sdtpldt0 (xm) (sz00)) = (xm)) /\ ((xm) = (sdtpldt0 (sz00) (xm)))) (aNaturalNumber0 (sz00)) (-. (Ex W2, ((aNaturalNumber0 W2) /\ ((sdtpldt0 (xm) W2) = (xm))))) ### And 7 % 0.19/0.41 9. ((aNaturalNumber0 (xm)) => (((sdtpldt0 (xm) (sz00)) = (xm)) /\ ((xm) = (sdtpldt0 (sz00) (xm))))) (-. (Ex W2, ((aNaturalNumber0 W2) /\ ((sdtpldt0 (xm) W2) = (xm))))) (aNaturalNumber0 (sz00)) (aNaturalNumber0 (xm)) ### Imply 3 8 % 0.19/0.41 10. (All W0, ((aNaturalNumber0 W0) => (((sdtpldt0 W0 (sz00)) = W0) /\ (W0 = (sdtpldt0 (sz00) W0))))) (aNaturalNumber0 (xm)) (aNaturalNumber0 (sz00)) (-. (Ex W2, ((aNaturalNumber0 W2) /\ ((sdtpldt0 (xm) W2) = (xm))))) ### All 9 % 0.19/0.41 11. (-. (sdtlseqdt0 (xm) (xm))) (sdtlseqdt0 (xm) (xm)) ### Axiom % 0.19/0.41 12. ((sdtlseqdt0 (xm) (xm)) <=> (Ex W2, ((aNaturalNumber0 W2) /\ ((sdtpldt0 (xm) W2) = (xm))))) (-. (sdtlseqdt0 (xm) (xm))) (aNaturalNumber0 (sz00)) (aNaturalNumber0 (xm)) (All W0, ((aNaturalNumber0 W0) => (((sdtpldt0 W0 (sz00)) = W0) /\ (W0 = (sdtpldt0 (sz00) W0))))) ### Equiv 10 11 % 0.19/0.41 13. (((aNaturalNumber0 (xm)) /\ (aNaturalNumber0 (xm))) => ((sdtlseqdt0 (xm) (xm)) <=> (Ex W2, ((aNaturalNumber0 W2) /\ ((sdtpldt0 (xm) W2) = (xm)))))) (All W0, ((aNaturalNumber0 W0) => (((sdtpldt0 W0 (sz00)) = W0) /\ (W0 = (sdtpldt0 (sz00) W0))))) (aNaturalNumber0 (sz00)) (-. (sdtlseqdt0 (xm) (xm))) (aNaturalNumber0 (xm)) ### DisjTree 1 2 12 % 0.19/0.41 14. (All W1, (((aNaturalNumber0 (xm)) /\ (aNaturalNumber0 W1)) => ((sdtlseqdt0 (xm) W1) <=> (Ex W2, ((aNaturalNumber0 W2) /\ ((sdtpldt0 (xm) W2) = W1)))))) (aNaturalNumber0 (xm)) (-. (sdtlseqdt0 (xm) (xm))) (aNaturalNumber0 (sz00)) (All W0, ((aNaturalNumber0 W0) => (((sdtpldt0 W0 (sz00)) = W0) /\ (W0 = (sdtpldt0 (sz00) W0))))) ### All 13 % 0.19/0.41 15. (All W0, (All W1, (((aNaturalNumber0 W0) /\ (aNaturalNumber0 W1)) => ((sdtlseqdt0 W0 W1) <=> (Ex W2, ((aNaturalNumber0 W2) /\ ((sdtpldt0 W0 W2) = W1))))))) (All W0, ((aNaturalNumber0 W0) => (((sdtpldt0 W0 (sz00)) = W0) /\ (W0 = (sdtpldt0 (sz00) W0))))) (aNaturalNumber0 (sz00)) (-. (sdtlseqdt0 (xm) (xm))) (aNaturalNumber0 (xm)) ### All 14 % 0.19/0.41 % SZS output end Proof % 0.19/0.41 (* END-PROOF *) %------------------------------------------------------------------------------