%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : NUM610+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 : 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 : Mon Jul 18 14:44:06 EDT 2022 % Result : Theorem 2.55s 2.73s % Output : Proof 2.55s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : NUM610+1 : TPTP v8.1.0. Released v4.0.0. % 0.12/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.13/0.35 % Computer : n021.cluster.edu % 0.13/0.35 % Model : x86_64 x86_64 % 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.35 % Memory : 8042.1875MB % 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.35 % CPULimit : 300 % 0.13/0.35 % WCLimit : 600 % 0.13/0.35 % DateTime : Wed Jul 6 16:50:18 EDT 2022 % 0.13/0.35 % CPUTime : % 2.55/2.73 % SZS status Theorem % 2.55/2.73 (* PROOF-FOUND *) % 2.55/2.73 (* BEGIN-PROOF *) % 2.55/2.73 % SZS output start Proof % 2.55/2.73 1. (aSet0 (xO)) (-. (aSet0 (xO))) ### Axiom % 2.55/2.73 2. (aSubsetOf0 (xQ) (xO)) (-. (aSubsetOf0 (xQ) (xO))) ### Axiom % 2.55/2.73 3. (aSet0 (xP)) (-. (aSet0 (xP))) ### Axiom % 2.55/2.73 4. (aSet0 (xQ)) (-. (aSet0 (xQ))) ### Axiom % 2.55/2.73 5. (aSet0 (xO)) (-. (aSet0 (xO))) ### Axiom % 2.55/2.73 6. (aSubsetOf0 (xP) (xQ)) (-. (aSubsetOf0 (xP) (xQ))) ### Axiom % 2.55/2.73 7. (aSubsetOf0 (xQ) (xO)) (-. (aSubsetOf0 (xQ) (xO))) ### Axiom % 2.55/2.73 8. (-. (aSubsetOf0 (xP) (xO))) (aSubsetOf0 (xP) (xO)) ### Axiom % 2.55/2.73 9. (((aSet0 (xP)) /\ ((aSet0 (xQ)) /\ (aSet0 (xO)))) => (((aSubsetOf0 (xP) (xQ)) /\ (aSubsetOf0 (xQ) (xO))) => (aSubsetOf0 (xP) (xO)))) (-. (aSubsetOf0 (xP) (xO))) (aSubsetOf0 (xQ) (xO)) (aSubsetOf0 (xP) (xQ)) (aSet0 (xO)) (aSet0 (xQ)) (aSet0 (xP)) ### DisjTree 3 4 5 6 7 8 % 2.55/2.73 10. (All W2, (((aSet0 (xP)) /\ ((aSet0 (xQ)) /\ (aSet0 W2))) => (((aSubsetOf0 (xP) (xQ)) /\ (aSubsetOf0 (xQ) W2)) => (aSubsetOf0 (xP) W2)))) (aSet0 (xP)) (aSet0 (xQ)) (aSet0 (xO)) (aSubsetOf0 (xP) (xQ)) (aSubsetOf0 (xQ) (xO)) (-. (aSubsetOf0 (xP) (xO))) ### All 9 % 2.55/2.73 11. (All W1, (All W2, (((aSet0 (xP)) /\ ((aSet0 W1) /\ (aSet0 W2))) => (((aSubsetOf0 (xP) W1) /\ (aSubsetOf0 W1 W2)) => (aSubsetOf0 (xP) W2))))) (-. (aSubsetOf0 (xP) (xO))) (aSubsetOf0 (xQ) (xO)) (aSubsetOf0 (xP) (xQ)) (aSet0 (xO)) (aSet0 (xQ)) (aSet0 (xP)) ### All 10 % 2.55/2.73 12. (All W0, (All W1, (All W2, (((aSet0 W0) /\ ((aSet0 W1) /\ (aSet0 W2))) => (((aSubsetOf0 W0 W1) /\ (aSubsetOf0 W1 W2)) => (aSubsetOf0 W0 W2)))))) (aSet0 (xP)) (aSet0 (xQ)) (aSet0 (xO)) (aSubsetOf0 (xP) (xQ)) (aSubsetOf0 (xQ) (xO)) (-. (aSubsetOf0 (xP) (xO))) ### All 11 % 2.55/2.73 13. ((aSet0 (xQ)) /\ (All W2, ((aElementOf0 W2 (xQ)) => (aElementOf0 W2 (xO))))) (-. (aSubsetOf0 (xP) (xO))) (aSubsetOf0 (xQ) (xO)) (aSubsetOf0 (xP) (xQ)) (aSet0 (xO)) (aSet0 (xP)) (All W0, (All W1, (All W2, (((aSet0 W0) /\ ((aSet0 W1) /\ (aSet0 W2))) => (((aSubsetOf0 W0 W1) /\ (aSubsetOf0 W1 W2)) => (aSubsetOf0 W0 W2)))))) ### And 12 % 2.55/2.73 14. ((aSubsetOf0 (xQ) (xO)) <=> ((aSet0 (xQ)) /\ (All W2, ((aElementOf0 W2 (xQ)) => (aElementOf0 W2 (xO)))))) (All W0, (All W1, (All W2, (((aSet0 W0) /\ ((aSet0 W1) /\ (aSet0 W2))) => (((aSubsetOf0 W0 W1) /\ (aSubsetOf0 W1 W2)) => (aSubsetOf0 W0 W2)))))) (aSet0 (xP)) (aSet0 (xO)) (aSubsetOf0 (xP) (xQ)) (-. (aSubsetOf0 (xP) (xO))) (aSubsetOf0 (xQ) (xO)) ### Equiv 2 13 % 2.55/2.73 15. (All W1, ((aSubsetOf0 W1 (xO)) <=> ((aSet0 W1) /\ (All W2, ((aElementOf0 W2 W1) => (aElementOf0 W2 (xO))))))) (aSubsetOf0 (xQ) (xO)) (-. (aSubsetOf0 (xP) (xO))) (aSubsetOf0 (xP) (xQ)) (aSet0 (xO)) (aSet0 (xP)) (All W0, (All W1, (All W2, (((aSet0 W0) /\ ((aSet0 W1) /\ (aSet0 W2))) => (((aSubsetOf0 W0 W1) /\ (aSubsetOf0 W1 W2)) => (aSubsetOf0 W0 W2)))))) ### All 14 % 2.55/2.73 16. ((aSet0 (xO)) => (All W1, ((aSubsetOf0 W1 (xO)) <=> ((aSet0 W1) /\ (All W2, ((aElementOf0 W2 W1) => (aElementOf0 W2 (xO)))))))) (All W0, (All W1, (All W2, (((aSet0 W0) /\ ((aSet0 W1) /\ (aSet0 W2))) => (((aSubsetOf0 W0 W1) /\ (aSubsetOf0 W1 W2)) => (aSubsetOf0 W0 W2)))))) (aSet0 (xP)) (aSubsetOf0 (xP) (xQ)) (-. (aSubsetOf0 (xP) (xO))) (aSubsetOf0 (xQ) (xO)) (aSet0 (xO)) ### Imply 1 15 % 2.55/2.73 17. (All W0, ((aSet0 W0) => (All W1, ((aSubsetOf0 W1 W0) <=> ((aSet0 W1) /\ (All W2, ((aElementOf0 W2 W1) => (aElementOf0 W2 W0)))))))) (aSet0 (xO)) (aSubsetOf0 (xQ) (xO)) (-. (aSubsetOf0 (xP) (xO))) (aSubsetOf0 (xP) (xQ)) (aSet0 (xP)) (All W0, (All W1, (All W2, (((aSet0 W0) /\ ((aSet0 W1) /\ (aSet0 W2))) => (((aSubsetOf0 W0 W1) /\ (aSubsetOf0 W1 W2)) => (aSubsetOf0 W0 W2)))))) ### All 16 % 2.55/2.73 18. ((aSet0 (xP)) /\ ((xP) = (sdtmndt0 (xQ) (szmzizndt0 (xQ))))) (All W0, (All W1, (All W2, (((aSet0 W0) /\ ((aSet0 W1) /\ (aSet0 W2))) => (((aSubsetOf0 W0 W1) /\ (aSubsetOf0 W1 W2)) => (aSubsetOf0 W0 W2)))))) (aSubsetOf0 (xP) (xQ)) (-. (aSubsetOf0 (xP) (xO))) (aSubsetOf0 (xQ) (xO)) (aSet0 (xO)) (All W0, ((aSet0 W0) => (All W1, ((aSubsetOf0 W1 W0) <=> ((aSet0 W1) /\ (All W2, ((aElementOf0 W2 W1) => (aElementOf0 W2 W0)))))))) ### And 17 % 2.55/2.73 19. ((aSubsetOf0 (xQ) (xO)) /\ ((xQ) != (slcrc0))) (All W0, ((aSet0 W0) => (All W1, ((aSubsetOf0 W1 W0) <=> ((aSet0 W1) /\ (All W2, ((aElementOf0 W2 W1) => (aElementOf0 W2 W0)))))))) (aSet0 (xO)) (-. (aSubsetOf0 (xP) (xO))) (aSubsetOf0 (xP) (xQ)) (All W0, (All W1, (All W2, (((aSet0 W0) /\ ((aSet0 W1) /\ (aSet0 W2))) => (((aSubsetOf0 W0 W1) /\ (aSubsetOf0 W1 W2)) => (aSubsetOf0 W0 W2)))))) ((aSet0 (xP)) /\ ((xP) = (sdtmndt0 (xQ) (szmzizndt0 (xQ))))) ### And 18 % 2.55/2.73 20. ((aSet0 (xO)) /\ ((xO) = (sdtlcdtrc0 (xe) (sdtlbdtrb0 (xd) (szDzizrdt0 (xd)))))) ((aSet0 (xP)) /\ ((xP) = (sdtmndt0 (xQ) (szmzizndt0 (xQ))))) (All W0, (All W1, (All W2, (((aSet0 W0) /\ ((aSet0 W1) /\ (aSet0 W2))) => (((aSubsetOf0 W0 W1) /\ (aSubsetOf0 W1 W2)) => (aSubsetOf0 W0 W2)))))) (aSubsetOf0 (xP) (xQ)) (-. (aSubsetOf0 (xP) (xO))) (All W0, ((aSet0 W0) => (All W1, ((aSubsetOf0 W1 W0) <=> ((aSet0 W1) /\ (All W2, ((aElementOf0 W2 W1) => (aElementOf0 W2 W0)))))))) ((aSubsetOf0 (xQ) (xO)) /\ ((xQ) != (slcrc0))) ### And 19 % 2.55/2.73 % SZS output end Proof % 2.55/2.73 (* END-PROOF *) %------------------------------------------------------------------------------