%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : NUM464+2 : 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 : n014.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 14:42:42 EDT 2022 % Result : Theorem 0.70s 0.87s % Output : Proof 0.70s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : NUM464+2 : TPTP v8.1.0. Released v4.0.0. % 0.06/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.12/0.33 % Computer : n014.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 : Thu Jul 7 10:44:07 EDT 2022 % 0.12/0.33 % CPUTime : % 0.70/0.87 % SZS status Theorem % 0.70/0.87 (* PROOF-FOUND *) % 0.70/0.87 (* BEGIN-PROOF *) % 0.70/0.87 % SZS output start Proof % 0.70/0.87 1. ((xm) != (sz00)) ((xm) = (sz00)) ### Axiom % 0.70/0.87 2. (aNaturalNumber0 (sz10)) (-. (aNaturalNumber0 (sz10))) ### Axiom % 0.70/0.87 3. (aNaturalNumber0 (xm)) (-. (aNaturalNumber0 (xm))) ### Axiom % 0.70/0.87 4. (-. (sdtlseqdt0 (sz10) (xm))) (sdtlseqdt0 (sz10) (xm)) ### Axiom % 0.70/0.87 5. ((xm) = (sz10)) ((xm) != (sz10)) ### Axiom % 0.70/0.87 6. (((xm) != (sz10)) /\ (sdtlseqdt0 (xm) (sz10))) ((xm) = (sz10)) ### And 5 % 0.70/0.87 7. (((aNaturalNumber0 (sz10)) /\ (aNaturalNumber0 (xm))) => ((sdtlseqdt0 (sz10) (xm)) \/ (((xm) != (sz10)) /\ (sdtlseqdt0 (xm) (sz10))))) ((xm) = (sz10)) (-. (sdtlseqdt0 (sz10) (xm))) (aNaturalNumber0 (xm)) (aNaturalNumber0 (sz10)) ### DisjTree 2 3 4 6 % 0.70/0.87 8. (All W1, (((aNaturalNumber0 (sz10)) /\ (aNaturalNumber0 W1)) => ((sdtlseqdt0 (sz10) W1) \/ ((W1 != (sz10)) /\ (sdtlseqdt0 W1 (sz10)))))) (aNaturalNumber0 (sz10)) (aNaturalNumber0 (xm)) (-. (sdtlseqdt0 (sz10) (xm))) ((xm) = (sz10)) ### All 7 % 0.70/0.87 9. (All W0, (All W1, (((aNaturalNumber0 W0) /\ (aNaturalNumber0 W1)) => ((sdtlseqdt0 W0 W1) \/ ((W1 != W0) /\ (sdtlseqdt0 W1 W0)))))) ((xm) = (sz10)) (-. (sdtlseqdt0 (sz10) (xm))) (aNaturalNumber0 (xm)) (aNaturalNumber0 (sz10)) ### All 8 % 0.70/0.87 10. (-. (sdtlseqdt0 (sz10) (xm))) (sdtlseqdt0 (sz10) (xm)) ### Axiom % 0.70/0.87 11. (aNaturalNumber0 (sz10)) (aNaturalNumber0 (xm)) (-. (sdtlseqdt0 (sz10) (xm))) (All W0, (All W1, (((aNaturalNumber0 W0) /\ (aNaturalNumber0 W1)) => ((sdtlseqdt0 W0 W1) \/ ((W1 != W0) /\ (sdtlseqdt0 W1 W0)))))) ((xm) != (sz00)) ### Extension/test/mLENTr 1 9 10 % 0.70/0.87 12. (-. (((xm) != (sz00)) => ((Ex W0, ((aNaturalNumber0 W0) /\ ((sdtpldt0 (sz10) W0) = (xm)))) \/ (sdtlseqdt0 (sz10) (xm))))) (All W0, (All W1, (((aNaturalNumber0 W0) /\ (aNaturalNumber0 W1)) => ((sdtlseqdt0 W0 W1) \/ ((W1 != W0) /\ (sdtlseqdt0 W1 W0)))))) (aNaturalNumber0 (xm)) (aNaturalNumber0 (sz10)) ### ConjTree 11 % 0.70/0.87 13. ((aNaturalNumber0 (xm)) /\ (aNaturalNumber0 (xn))) (aNaturalNumber0 (sz10)) (All W0, (All W1, (((aNaturalNumber0 W0) /\ (aNaturalNumber0 W1)) => ((sdtlseqdt0 W0 W1) \/ ((W1 != W0) /\ (sdtlseqdt0 W1 W0)))))) (-. (((xm) != (sz00)) => ((Ex W0, ((aNaturalNumber0 W0) /\ ((sdtpldt0 (sz10) W0) = (xm)))) \/ (sdtlseqdt0 (sz10) (xm))))) ### And 12 % 0.70/0.87 14. ((aNaturalNumber0 (sz10)) /\ ((sz10) != (sz00))) (-. (((xm) != (sz00)) => ((Ex W0, ((aNaturalNumber0 W0) /\ ((sdtpldt0 (sz10) W0) = (xm)))) \/ (sdtlseqdt0 (sz10) (xm))))) (All W0, (All W1, (((aNaturalNumber0 W0) /\ (aNaturalNumber0 W1)) => ((sdtlseqdt0 W0 W1) \/ ((W1 != W0) /\ (sdtlseqdt0 W1 W0)))))) ((aNaturalNumber0 (xm)) /\ (aNaturalNumber0 (xn))) ### And 13 % 0.70/0.87 % SZS output end Proof % 0.70/0.87 (* END-PROOF *) %------------------------------------------------------------------------------