%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : LAT388+4 : 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 : n021.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 : Sun Jul 17 06:58:16 EDT 2022 % Result : Theorem 0.19s 0.42s % Output : Proof 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : LAT388+4 : TPTP v8.1.0. Released v4.0.0. % 0.12/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.13/0.34 % Computer : n021.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 : Wed Jun 29 11:24:27 EDT 2022 % 0.13/0.34 % CPUTime : % 0.19/0.42 % SZS status Theorem % 0.19/0.42 (* PROOF-FOUND *) % 0.19/0.42 (* BEGIN-PROOF *) % 0.19/0.42 % SZS output start Proof % 0.19/0.42 1. (aSupremumOfIn0 (xp) (xT) (xS)) (-. (aSupremumOfIn0 (xp) (xT) (xS))) ### Axiom % 0.19/0.42 2. (-. (((aElementOf0 (xp) (xS)) /\ ((((aElementOf0 (xp) (xS)) /\ (All W0, ((aElementOf0 W0 (xT)) => (sdtlseqdt0 W0 (xp))))) \/ (aUpperBoundOfIn0 (xp) (xT) (xS))) /\ (All W1, (((aElementOf0 W1 (xS)) /\ ((All W2, ((aElementOf0 W2 (xT)) => (sdtlseqdt0 W2 W1))) /\ (aUpperBoundOfIn0 W1 (xT) (xS)))) => (sdtlseqdt0 (xp) W1))))) \/ (aSupremumOfIn0 (xp) (xT) (xS)))) (aSupremumOfIn0 (xp) (xT) (xS)) ### NotOr 1 % 0.19/0.42 3. (-. (Ex W0, (((aElementOf0 W0 (xS)) /\ ((((aElementOf0 W0 (xS)) /\ (All W1, ((aElementOf0 W1 (xT)) => (sdtlseqdt0 W1 W0)))) \/ (aUpperBoundOfIn0 W0 (xT) (xS))) /\ (All W1, (((aElementOf0 W1 (xS)) /\ ((All W2, ((aElementOf0 W2 (xT)) => (sdtlseqdt0 W2 W1))) /\ (aUpperBoundOfIn0 W1 (xT) (xS)))) => (sdtlseqdt0 W0 W1))))) \/ (aSupremumOfIn0 W0 (xT) (xS))))) (aSupremumOfIn0 (xp) (xT) (xS)) ### NotExists 2 % 0.19/0.42 4. ((aElementOf0 (xp) (szDzozmdt0 (xf))) /\ (((sdtlpdtrp0 (xf) (xp)) = (xp)) /\ ((aFixedPointOf0 (xp) (xf)) /\ ((All W0, ((aElementOf0 W0 (xT)) => (sdtlseqdt0 W0 (xp)))) /\ ((aUpperBoundOfIn0 (xp) (xT) (xS)) /\ ((All W0, ((((aElementOf0 W0 (xS)) /\ (All W1, ((aElementOf0 W1 (xT)) => (sdtlseqdt0 W1 W0)))) \/ (aUpperBoundOfIn0 W0 (xT) (xS))) => (sdtlseqdt0 (xp) W0))) /\ (aSupremumOfIn0 (xp) (xT) (xS)))))))) (-. (Ex W0, (((aElementOf0 W0 (xS)) /\ ((((aElementOf0 W0 (xS)) /\ (All W1, ((aElementOf0 W1 (xT)) => (sdtlseqdt0 W1 W0)))) \/ (aUpperBoundOfIn0 W0 (xT) (xS))) /\ (All W1, (((aElementOf0 W1 (xS)) /\ ((All W2, ((aElementOf0 W2 (xT)) => (sdtlseqdt0 W2 W1))) /\ (aUpperBoundOfIn0 W1 (xT) (xS)))) => (sdtlseqdt0 W0 W1))))) \/ (aSupremumOfIn0 W0 (xT) (xS))))) ### ConjTree 3 % 0.19/0.42 % SZS output end Proof % 0.19/0.42 (* END-PROOF *) %------------------------------------------------------------------------------