%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : NUM565+3 : 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 14:43:41 EDT 2022 % Result : Theorem 7.50s 7.67s % Output : Proof 7.50s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM565+3 : TPTP v8.1.0. Released v4.0.0. % 0.00/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.12/0.33 % Computer : n005.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 : Fri Jul 8 02:16:52 EDT 2022 % 0.12/0.33 % CPUTime : % 7.50/7.67 % SZS status Theorem % 7.50/7.67 (* PROOF-FOUND *) % 7.50/7.67 (* BEGIN-PROOF *) % 7.50/7.67 % SZS output start Proof % 7.50/7.67 1. ((xc) != (xc)) ### NotEqual % 7.50/7.67 2. (aSet0 T_0) (-. (aSet0 T_0)) ### Axiom % 7.50/7.67 3. ((sbrdtbr0 T_0) = (sz00)) ((sbrdtbr0 T_0) != (sz00)) ### Axiom % 7.50/7.67 4. (T_0 != (slcrc0)) (T_0 = (slcrc0)) ### Axiom % 7.50/7.67 5. (((sbrdtbr0 T_0) = (sz00)) <=> (T_0 = (slcrc0))) (T_0 != (slcrc0)) ((sbrdtbr0 T_0) = (sz00)) ### Equiv 3 4 % 7.50/7.67 6. ((aSet0 T_0) => (((sbrdtbr0 T_0) = (sz00)) <=> (T_0 = (slcrc0)))) ((sbrdtbr0 T_0) = (sz00)) (T_0 != (slcrc0)) (aSet0 T_0) ### Imply 2 5 % 7.50/7.67 7. (All W0, ((aSet0 W0) => (((sbrdtbr0 W0) = (sz00)) <=> (W0 = (slcrc0))))) (aSet0 T_0) (T_0 != (slcrc0)) ((sbrdtbr0 T_0) = (sz00)) ### All 6 % 7.50/7.67 8. ((sdtlpdtrp0 (xc) T_0) != (sdtlpdtrp0 (xc) (slcrc0))) ((sbrdtbr0 T_0) = (sz00)) (aSet0 T_0) (All W0, ((aSet0 W0) => (((sbrdtbr0 W0) = (sz00)) <=> (W0 = (slcrc0))))) ### NotEqual 1 7 % 7.50/7.67 9. (-. (((aSet0 T_0) /\ ((All W1, ((aElementOf0 W1 T_0) => (aElementOf0 W1 (xS)))) /\ ((aSubsetOf0 T_0 (xS)) /\ (((sbrdtbr0 T_0) = (sz00)) /\ (aElementOf0 T_0 (slbdtsldtrb0 (xS) (sz00))))))) => (((aSet0 (slcrc0)) /\ (-. (Ex W0, (aElementOf0 W0 (slcrc0))))) => ((sdtlpdtrp0 (xc) T_0) = (sdtlpdtrp0 (xc) (slcrc0)))))) (All W0, ((aSet0 W0) => (((sbrdtbr0 W0) = (sz00)) <=> (W0 = (slcrc0))))) ### ConjTree 8 % 7.50/7.67 10. (-. (All W0, (((aSet0 W0) /\ ((All W1, ((aElementOf0 W1 W0) => (aElementOf0 W1 (xS)))) /\ ((aSubsetOf0 W0 (xS)) /\ (((sbrdtbr0 W0) = (sz00)) /\ (aElementOf0 W0 (slbdtsldtrb0 (xS) (sz00))))))) => (((aSet0 (slcrc0)) /\ (-. (Ex W0, (aElementOf0 W0 (slcrc0))))) => ((sdtlpdtrp0 (xc) W0) = (sdtlpdtrp0 (xc) (slcrc0))))))) (All W0, ((aSet0 W0) => (((sbrdtbr0 W0) = (sz00)) <=> (W0 = (slcrc0))))) ### NotAllEx 9 % 7.50/7.67 % SZS output end Proof % 7.50/7.67 (* END-PROOF *) %------------------------------------------------------------------------------