%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : NUM568+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 : n005.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 14:43:42 EDT 2022 % Result : Theorem 7.67s 7.90s % Output : Proof 7.67s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM568+1 : TPTP v8.1.0. Released v4.0.0. % 0.12/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.12/0.34 % Computer : n005.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 600 % 0.12/0.34 % DateTime : Wed Jul 6 08:21:07 EDT 2022 % 0.12/0.34 % CPUTime : % 7.67/7.90 % SZS status Theorem % 7.67/7.90 (* PROOF-FOUND *) % 7.67/7.90 (* BEGIN-PROOF *) % 7.67/7.90 % SZS output start Proof % 7.67/7.90 1. (aElementOf0 (xK) (szNzAzT0)) (-. (aElementOf0 (xK) (szNzAzT0))) ### Axiom % 7.67/7.90 2. ((xK) != (sz00)) ((xK) = (sz00)) ### Axiom % 7.67/7.90 3. (aElementOf0 T_0 (szNzAzT0)) (-. (aElementOf0 T_0 (szNzAzT0))) ### Axiom % 7.67/7.90 4. ((xK) = (szszuzczcdt0 T_0)) ((szszuzczcdt0 T_0) != (xK)) ### Sym(=) % 7.67/7.90 5. (-. ((aElementOf0 T_0 (szNzAzT0)) /\ ((szszuzczcdt0 T_0) = (xK)))) ((xK) = (szszuzczcdt0 T_0)) (aElementOf0 T_0 (szNzAzT0)) ### NotAnd 3 4 % 7.67/7.90 6. (-. (Ex W0, ((aElementOf0 W0 (szNzAzT0)) /\ ((szszuzczcdt0 W0) = (xK))))) (aElementOf0 T_0 (szNzAzT0)) ((xK) = (szszuzczcdt0 T_0)) ### NotExists 5 % 7.67/7.90 7. ((aElementOf0 T_0 (szNzAzT0)) /\ ((xK) = (szszuzczcdt0 T_0))) (-. (Ex W0, ((aElementOf0 W0 (szNzAzT0)) /\ ((szszuzczcdt0 W0) = (xK))))) ### And 6 % 7.67/7.90 8. (Ex W1, ((aElementOf0 W1 (szNzAzT0)) /\ ((xK) = (szszuzczcdt0 W1)))) (-. (Ex W0, ((aElementOf0 W0 (szNzAzT0)) /\ ((szszuzczcdt0 W0) = (xK))))) ### Exists 7 % 7.67/7.90 9. ((aElementOf0 (xK) (szNzAzT0)) => (((xK) = (sz00)) \/ (Ex W1, ((aElementOf0 W1 (szNzAzT0)) /\ ((xK) = (szszuzczcdt0 W1)))))) (-. (Ex W0, ((aElementOf0 W0 (szNzAzT0)) /\ ((szszuzczcdt0 W0) = (xK))))) ((xK) != (sz00)) (aElementOf0 (xK) (szNzAzT0)) ### DisjTree 1 2 8 % 7.67/7.90 10. (All W0, ((aElementOf0 W0 (szNzAzT0)) => ((W0 = (sz00)) \/ (Ex W1, ((aElementOf0 W1 (szNzAzT0)) /\ (W0 = (szszuzczcdt0 W1))))))) (aElementOf0 (xK) (szNzAzT0)) ((xK) != (sz00)) (-. (Ex W0, ((aElementOf0 W0 (szNzAzT0)) /\ ((szszuzczcdt0 W0) = (xK))))) ### All 9 % 7.67/7.90 % SZS output end Proof % 7.67/7.90 (* END-PROOF *) %------------------------------------------------------------------------------