%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : NUM472+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 : n011.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 14:42:46 EDT 2022 % Result : Theorem 0.20s 0.43s % Output : Proof 0.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : NUM472+1 : TPTP v8.1.0. Released v4.0.0. % 0.07/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.13/0.34 % Computer : n011.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 600 % 0.13/0.34 % DateTime : Thu Jul 7 10:00:09 EDT 2022 % 0.13/0.35 % CPUTime : % 0.20/0.43 % SZS status Theorem % 0.20/0.43 (* PROOF-FOUND *) % 0.20/0.43 (* BEGIN-PROOF *) % 0.20/0.43 % SZS output start Proof % 0.20/0.43 1. (aNaturalNumber0 (xm)) (-. (aNaturalNumber0 (xm))) ### Axiom % 0.20/0.43 2. (aNaturalNumber0 (xm)) (-. (aNaturalNumber0 (xm))) ### Axiom % 0.20/0.43 3. (aNaturalNumber0 (xn)) (-. (aNaturalNumber0 (xn))) ### Axiom % 0.20/0.43 4. (-. (aNaturalNumber0 (sdtpldt0 (xm) (xn)))) (aNaturalNumber0 (xn)) (aNaturalNumber0 (xm)) ### Extension/test/mSortsBctrp 2 3 % 0.20/0.43 5. (aNaturalNumber0 (xn)) (-. (aNaturalNumber0 (xn))) ### Axiom % 0.20/0.43 6. ((sdtpldt0 (xm) (xn)) != (sdtpldt0 (xm) (xn))) ### Refl(=) % 0.20/0.43 7. (-. ((aNaturalNumber0 (xn)) /\ ((sdtpldt0 (xm) (xn)) = (sdtpldt0 (xm) (xn))))) (aNaturalNumber0 (xn)) ### NotAnd 5 6 % 0.20/0.43 8. (-. (Ex W2, ((aNaturalNumber0 W2) /\ ((sdtpldt0 (xm) W2) = (sdtpldt0 (xm) (xn)))))) (aNaturalNumber0 (xn)) ### NotExists 7 % 0.20/0.43 9. (-. (sdtlseqdt0 (xm) (sdtpldt0 (xm) (xn)))) (sdtlseqdt0 (xm) (sdtpldt0 (xm) (xn))) ### Axiom % 0.20/0.43 10. ((sdtlseqdt0 (xm) (sdtpldt0 (xm) (xn))) <=> (Ex W2, ((aNaturalNumber0 W2) /\ ((sdtpldt0 (xm) W2) = (sdtpldt0 (xm) (xn)))))) (-. (sdtlseqdt0 (xm) (sdtpldt0 (xm) (xn)))) (aNaturalNumber0 (xn)) ### Equiv 8 9 % 0.20/0.43 11. (((aNaturalNumber0 (xm)) /\ (aNaturalNumber0 (sdtpldt0 (xm) (xn)))) => ((sdtlseqdt0 (xm) (sdtpldt0 (xm) (xn))) <=> (Ex W2, ((aNaturalNumber0 W2) /\ ((sdtpldt0 (xm) W2) = (sdtpldt0 (xm) (xn))))))) (-. (sdtlseqdt0 (xm) (sdtpldt0 (xm) (xn)))) (aNaturalNumber0 (xn)) (aNaturalNumber0 (xm)) ### DisjTree 1 4 10 % 0.20/0.43 12. (All W1, (((aNaturalNumber0 (xm)) /\ (aNaturalNumber0 W1)) => ((sdtlseqdt0 (xm) W1) <=> (Ex W2, ((aNaturalNumber0 W2) /\ ((sdtpldt0 (xm) W2) = W1)))))) (aNaturalNumber0 (xm)) (aNaturalNumber0 (xn)) (-. (sdtlseqdt0 (xm) (sdtpldt0 (xm) (xn)))) ### All 11 % 0.20/0.43 13. (All W0, (All W1, (((aNaturalNumber0 W0) /\ (aNaturalNumber0 W1)) => ((sdtlseqdt0 W0 W1) <=> (Ex W2, ((aNaturalNumber0 W2) /\ ((sdtpldt0 W0 W2) = W1))))))) (-. (sdtlseqdt0 (xm) (sdtpldt0 (xm) (xn)))) (aNaturalNumber0 (xn)) (aNaturalNumber0 (xm)) ### All 12 % 0.20/0.43 14. ((aNaturalNumber0 (xl)) /\ ((aNaturalNumber0 (xm)) /\ (aNaturalNumber0 (xn)))) (-. (sdtlseqdt0 (xm) (sdtpldt0 (xm) (xn)))) (All W0, (All W1, (((aNaturalNumber0 W0) /\ (aNaturalNumber0 W1)) => ((sdtlseqdt0 W0 W1) <=> (Ex W2, ((aNaturalNumber0 W2) /\ ((sdtpldt0 W0 W2) = W1))))))) ### ConjTree 13 % 0.20/0.43 % SZS output end Proof % 0.20/0.43 (* END-PROOF *) %------------------------------------------------------------------------------