%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : RNG111+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 : n027.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 20:42:01 EDT 2022 % Result : Theorem 2.44s 2.64s % Output : Proof 2.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : RNG111+1 : TPTP v8.1.0. Released v4.0.0. % 0.03/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.12/0.33 % Computer : n027.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 : Mon May 30 21:49:01 EDT 2022 % 0.12/0.34 % CPUTime : % 2.44/2.64 % SZS status Theorem % 2.44/2.64 (* PROOF-FOUND *) % 2.44/2.64 (* BEGIN-PROOF *) % 2.44/2.64 % SZS output start Proof % 2.44/2.64 1. (aElementOf0 T_0 (xI)) (-. (aElementOf0 T_0 (xI))) ### Axiom % 2.44/2.64 2. (T_0 != (sz00)) (T_0 = (sz00)) ### Axiom % 2.44/2.64 3. (aElementOf0 T_1 (xI)) (-. (aElementOf0 T_1 (xI))) ### Axiom % 2.44/2.64 4. (T_1 != (sz00)) (T_1 = (sz00)) ### Axiom % 2.44/2.64 5. (iLess0 (sbrdtbr0 T_1) (sbrdtbr0 T_0)) (-. (iLess0 (sbrdtbr0 T_1) (sbrdtbr0 T_0))) ### Axiom % 2.44/2.64 6. (-. (Ex W2, ((aElementOf0 W2 (xI)) /\ ((W2 != (sz00)) /\ (All W3, (((aElementOf0 W3 (xI)) /\ (W3 != (sz00))) => (-. (iLess0 (sbrdtbr0 W3) (sbrdtbr0 W2))))))))) (Ex W2, ((aElementOf0 W2 (xI)) /\ ((W2 != (sz00)) /\ (All W3, (((aElementOf0 W3 (xI)) /\ (W3 != (sz00))) => (-. (iLess0 (sbrdtbr0 W3) (sbrdtbr0 W2)))))))) ### Axiom % 2.44/2.64 7. (((aElementOf0 T_1 (xI)) /\ (T_1 != (sz00))) => ((iLess0 (sbrdtbr0 T_1) (sbrdtbr0 T_0)) => (Ex W2, ((aElementOf0 W2 (xI)) /\ ((W2 != (sz00)) /\ (All W3, (((aElementOf0 W3 (xI)) /\ (W3 != (sz00))) => (-. (iLess0 (sbrdtbr0 W3) (sbrdtbr0 W2)))))))))) (-. (Ex W2, ((aElementOf0 W2 (xI)) /\ ((W2 != (sz00)) /\ (All W3, (((aElementOf0 W3 (xI)) /\ (W3 != (sz00))) => (-. (iLess0 (sbrdtbr0 W3) (sbrdtbr0 W2))))))))) (iLess0 (sbrdtbr0 T_1) (sbrdtbr0 T_0)) (T_1 != (sz00)) (aElementOf0 T_1 (xI)) ### DisjTree 3 4 5 6 % 2.44/2.64 8. (All W1, (((aElementOf0 W1 (xI)) /\ (W1 != (sz00))) => ((iLess0 (sbrdtbr0 W1) (sbrdtbr0 T_0)) => (Ex W2, ((aElementOf0 W2 (xI)) /\ ((W2 != (sz00)) /\ (All W3, (((aElementOf0 W3 (xI)) /\ (W3 != (sz00))) => (-. (iLess0 (sbrdtbr0 W3) (sbrdtbr0 W2))))))))))) (aElementOf0 T_1 (xI)) (T_1 != (sz00)) (iLess0 (sbrdtbr0 T_1) (sbrdtbr0 T_0)) (-. (Ex W2, ((aElementOf0 W2 (xI)) /\ ((W2 != (sz00)) /\ (All W3, (((aElementOf0 W3 (xI)) /\ (W3 != (sz00))) => (-. (iLess0 (sbrdtbr0 W3) (sbrdtbr0 W2))))))))) ### All 7 % 2.44/2.64 9. (-. (((aElementOf0 T_1 (xI)) /\ (T_1 != (sz00))) => (-. (iLess0 (sbrdtbr0 T_1) (sbrdtbr0 T_0))))) (-. (Ex W2, ((aElementOf0 W2 (xI)) /\ ((W2 != (sz00)) /\ (All W3, (((aElementOf0 W3 (xI)) /\ (W3 != (sz00))) => (-. (iLess0 (sbrdtbr0 W3) (sbrdtbr0 W2))))))))) (All W1, (((aElementOf0 W1 (xI)) /\ (W1 != (sz00))) => ((iLess0 (sbrdtbr0 W1) (sbrdtbr0 T_0)) => (Ex W2, ((aElementOf0 W2 (xI)) /\ ((W2 != (sz00)) /\ (All W3, (((aElementOf0 W3 (xI)) /\ (W3 != (sz00))) => (-. (iLess0 (sbrdtbr0 W3) (sbrdtbr0 W2))))))))))) ### ConjTree 8 % 2.44/2.64 10. (-. (All W3, (((aElementOf0 W3 (xI)) /\ (W3 != (sz00))) => (-. (iLess0 (sbrdtbr0 W3) (sbrdtbr0 T_0)))))) (All W1, (((aElementOf0 W1 (xI)) /\ (W1 != (sz00))) => ((iLess0 (sbrdtbr0 W1) (sbrdtbr0 T_0)) => (Ex W2, ((aElementOf0 W2 (xI)) /\ ((W2 != (sz00)) /\ (All W3, (((aElementOf0 W3 (xI)) /\ (W3 != (sz00))) => (-. (iLess0 (sbrdtbr0 W3) (sbrdtbr0 W2))))))))))) (-. (Ex W2, ((aElementOf0 W2 (xI)) /\ ((W2 != (sz00)) /\ (All W3, (((aElementOf0 W3 (xI)) /\ (W3 != (sz00))) => (-. (iLess0 (sbrdtbr0 W3) (sbrdtbr0 W2))))))))) ### NotAllEx 9 % 2.44/2.64 11. (-. ((aElementOf0 T_0 (xI)) /\ ((T_0 != (sz00)) /\ (All W3, (((aElementOf0 W3 (xI)) /\ (W3 != (sz00))) => (-. (iLess0 (sbrdtbr0 W3) (sbrdtbr0 T_0)))))))) (-. (Ex W2, ((aElementOf0 W2 (xI)) /\ ((W2 != (sz00)) /\ (All W3, (((aElementOf0 W3 (xI)) /\ (W3 != (sz00))) => (-. (iLess0 (sbrdtbr0 W3) (sbrdtbr0 W2))))))))) (All W1, (((aElementOf0 W1 (xI)) /\ (W1 != (sz00))) => ((iLess0 (sbrdtbr0 W1) (sbrdtbr0 T_0)) => (Ex W2, ((aElementOf0 W2 (xI)) /\ ((W2 != (sz00)) /\ (All W3, (((aElementOf0 W3 (xI)) /\ (W3 != (sz00))) => (-. (iLess0 (sbrdtbr0 W3) (sbrdtbr0 W2))))))))))) (T_0 != (sz00)) (aElementOf0 T_0 (xI)) ### DisjTree 1 2 10 % 2.44/2.64 12. (aElementOf0 T_0 (xI)) (T_0 != (sz00)) (All W1, (((aElementOf0 W1 (xI)) /\ (W1 != (sz00))) => ((iLess0 (sbrdtbr0 W1) (sbrdtbr0 T_0)) => (Ex W2, ((aElementOf0 W2 (xI)) /\ ((W2 != (sz00)) /\ (All W3, (((aElementOf0 W3 (xI)) /\ (W3 != (sz00))) => (-. (iLess0 (sbrdtbr0 W3) (sbrdtbr0 W2))))))))))) (-. (Ex W2, ((aElementOf0 W2 (xI)) /\ ((W2 != (sz00)) /\ (All W3, (((aElementOf0 W3 (xI)) /\ (W3 != (sz00))) => (-. (iLess0 (sbrdtbr0 W3) (sbrdtbr0 W2))))))))) ### NotExists 11 % 2.44/2.64 13. (-. (((aElementOf0 T_0 (xI)) /\ (T_0 != (sz00))) => ((All W1, (((aElementOf0 W1 (xI)) /\ (W1 != (sz00))) => ((iLess0 (sbrdtbr0 W1) (sbrdtbr0 T_0)) => (Ex W2, ((aElementOf0 W2 (xI)) /\ ((W2 != (sz00)) /\ (All W3, (((aElementOf0 W3 (xI)) /\ (W3 != (sz00))) => (-. (iLess0 (sbrdtbr0 W3) (sbrdtbr0 W2))))))))))) => (Ex W2, ((aElementOf0 W2 (xI)) /\ ((W2 != (sz00)) /\ (All W3, (((aElementOf0 W3 (xI)) /\ (W3 != (sz00))) => (-. (iLess0 (sbrdtbr0 W3) (sbrdtbr0 W2))))))))))) ### ConjTree 12 % 2.44/2.64 14. (-. (All W0, (((aElementOf0 W0 (xI)) /\ (W0 != (sz00))) => ((All W1, (((aElementOf0 W1 (xI)) /\ (W1 != (sz00))) => ((iLess0 (sbrdtbr0 W1) (sbrdtbr0 W0)) => (Ex W2, ((aElementOf0 W2 (xI)) /\ ((W2 != (sz00)) /\ (All W3, (((aElementOf0 W3 (xI)) /\ (W3 != (sz00))) => (-. (iLess0 (sbrdtbr0 W3) (sbrdtbr0 W2))))))))))) => (Ex W2, ((aElementOf0 W2 (xI)) /\ ((W2 != (sz00)) /\ (All W3, (((aElementOf0 W3 (xI)) /\ (W3 != (sz00))) => (-. (iLess0 (sbrdtbr0 W3) (sbrdtbr0 W2)))))))))))) ### NotAllEx 13 % 2.44/2.64 % SZS output end Proof % 2.44/2.64 (* END-PROOF *) %------------------------------------------------------------------------------